As a result, there are 180 students in the seventh grade.
What dοes the term grade mean?A level οr prοgressiοn οn a scale, since abοut rank, success, excellence, wοrth, οr intensity: the highest grade οf paper. A stage οr phase in a cοurse and prοcess is a grοup οf peοple οr οbjects that have a same strength is relatively, quality, etc.
We can utilize percentage tο determine the tοtal quantity οf pupils in the class if 9 kids make up 5% οf a seventh-grade class. If we assume that there are x pupils inside the seventh grade οverall, we can calculate the prοpοrtiοn as fοllοws:
9 / x = 5 / 100
We may crοss-multiply and simplify tο find x's value:
9 × 100 = 5 × x
900 = 5x
x = 900 / 5
x = 180
In the seventh grade, there are 180 students.
To know more about grade visit:
brainly.com/question/29618342
#SPJ1
what is the probability of choosing a red card or a king from a deck of 52 cards? for this event, choosing a red card or choosing a king, where choosing a red card and choosing a king may occur jointly, which rule applies?
The rule that applies here is the addition rule of probability, which states that the probability of the union of two events A and B is the sum of their individual probabilities minus the probability of their intersection
How do we calculate the probability?The probability of choosing a red card or a king from a deck of 52 cards is 8/52 or 2/13. To calculate this, we first need to determine the number of cards that are either red or a king. There are 26 red cards in a deck of 52 cards, so the probability of choosing a red card is 26/52 or 1/2. There are four kings in a deck of 52 cards, so the probability of choosing a king is 4/52 or 1/13.
However, we need to be careful to avoid counting the red kings (two of which exist in a deck of 52 cards) twice. To account for this, we subtract the probability of choosing a red king from the sum of the probabilities of choosing a red card and a king. The probability of choosing a red king is 2/52 or 1/26, so the probability of choosing a red card or a king is:
P(red card or king) = P(red card) + P(king) - P(red king)
P(red card or king) = 26/52 + 4/52 - 2/52
P(red card or king) = 28/52
P(red card or king) = 2/13
The rule that applies here is the addition rule of probability, which states that the probability of the union of two events A and B is the sum of their individual probabilities minus the probability of their intersection (i.e., the probability that they occur jointly).
See more about probability at: https://brainly.com/question/24756209
#SPJ11
Solve by whatever method you prefer, using one or two variables. Edna Britten's income from two stocks each year totals 280.StockApaysdividendsattherateof5 5000, how much is invested in each stock?
The given information is inconsistent.
Answer: Let x and y be the amount invested in stocks A and B from the information given in the question, we have:x + y = total amount invested....(1)And also, the income from stock A and stock B are 5500 and (280-5500) = -5220 respectively.Now, if the income from a stock is negative, it means the investor loses money, i.e. invested more than the income received.So, we have:0.10x - 0.09y = 5500... (2)Multiplying equation (1) by 0.09 and subtracting from equation (2) multiplied by 10, we get:1.01x = 109900=> x = 108910Therefore, the amount invested in stock A is $108910, and the amount invested in stock B is:280 - 108910 = $(-108630)But since a negative value of investment doesn't make sense, it means there is no solution to this problem. So, the given information is inconsistent.
Learn more about Information
brainly.com/question/13629038
#SPJ11
slope = -1, (2, 5)
write in standard form
Answer: -1x + 2y = 5
Step-by-step explanation:
let me know if i got this right for you broski
Answer:
y= x+7
Step-by-step explanation:
y= mx+c
substitute to find c
5= -1(2) + c
c = 7
therefore slope = -1, (2, 5) in standard form is y=x+7
5/64 as a percentage, round your answer to the nearest tenth of a percent
Answer: 7.8%
Step-by-step explanation:
Because it is.
Reggie is rolling a block with the number 1,2,3,4, and 5 on it. Kaitlyn is drawing one desk from a basket of three disks: one blue, one red, and one yellow. use the tree diagram below to answer the question. What is the probability that they end up with a yellow disk
Answer:
1/3
Step-by-step explanation:
There is an equal chance of getting a blue, red or yellow disk.
Refer to the equation a x 9 = b. If a =3, what is the value of b
The value of' b' is 27 when' a' is three.
The presented equation is a x 9 = b, wherein' a' is a variable and' b' is the product of' a' and nine. we are asked to find the value of' b' when' a' is 3.
Substituting the value of' a' into the equation, we get
3 x 9 = b
27 = b
Thus, the value of' b' is 27 when' a' is three.
On this equation,' a' is a variable, this means that that its cost can trade. still, the value of' b' is dependent on the price of' a'. whilst' a' is 3, the price of' b' is 27. this is an illustration of a easy linear equation, in which the value of one variable is dependent on the figure of any other variable, and can be used to model real-global situations.
Learn more about linear equation:-
https://brainly.com/question/28732353
#SPJ4
3901 of the original wordle's 10657 allowed guess words have at least one letter repeat, or 36.6%. we can also see that 749 of its 2315 solution words have at least one letter repeat, or 32.3%. how many of the possible 5-tuples of 26 letters (q3.1) have at least one letter repeat? remember: gradescope can evaluate expressions with , -, *, /, ^, ( ), but not factorial.
The original wordle has 10657 allowed guess words. Of which 3901 words have at least one letter repeat. In other words, the probability of the word having at least one letter repeat is 36.6% 749 solution words have at least one letter repeat out of a total of 2315 solution words. the number of possible 5-tuples of 26 letters that have at least one letter repeat is "3987776."
In other words, the probability of a solution word having at least one letter repeat is 32.3%To find the number of possible 5-tuples of 26 letters with at least one letter repeat
Step 1: We will find out the number of 5-tuples that do not have any repeated lettersFor the first letter, we have 26 options. As there can be no repetitions, we have 25 options for the second letter. Similarly, for the third, fourth, and fifth letter we have 24, 23, and 22 options respectively.Therefore, the number of 5-tuples that do not have any repeated letters is given by26 × 25 × 24 × 23 × 22 = 7893600
Step 2: We will find out the number of 5-tuples that have at least one repeated letterTotal number of 5-tuples = 26^5Using the formula for finding the number of 5-tuples without any repetition, we can find the number of 5-tuples that have no repetition:26 × 25 × 24 × 23 × 22 = 7893600 Therefore, the number of 5-tuples that have at least one repeated letter is given by the total number of 5-tuples – the number of 5-tuples that have no repetitions= 26^5 - 7893600= 11881376 - 7893600= 3987776Therefore, the number of possible 5-tuples of 26 letters that have at least one letter repeat is 3987776.
For more such questions on probability
https://brainly.com/question/24756209
#SPJ11
A random experiment can result in one of the outcomes {a,b,€,d} with probabilities P({a}) = 0.4, P({b}) = 0.1, P({c}) = 0.3, and P({d}) 0.2. Let A denote the event {a,b}, B the event {b,c,d}, and the event {d} From the previous information , P(A UBUC)= QUESTION 31 A random experiment can result in one of the outcomes {a,b,€,d} with probabilities P({a}) = 0.4, P({b}) = 0.1, P({c}) = 0.3, and P({d}) 0.2. Let A denote the event {a,b}, B the event {b,c,d}, and C the event {d} From the previous information , P(Anenc)=
The data we get from the question is a random experiment can result in one of the outcomes {a,b,c,d} with probabilities from that information, P(A U B U C) = 0.8.
The given probabilities of events and outcomes are:
P({a}) = 0.4,P({b}) = 0.1,P({c}) = 0.3,P({d}) 0.2
So the given events are:
A = {a,b},B = {b,c,d},C = {d}
We have to find P(A U B U C) Using the formula of the probability of the union of two events,
we get:
P(A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)
Now we will find the values of all probabilities:
P(A) = P({a}) + P({b})
= 0.4 + 0.1
= 0.5
P(B) = P({b}) + P({c}) + P({d})
= 0.1 + 0.3 + 0.2
= 0.6
P(C) = P({d})
= 0.2
P(A ∩ B) = P({b})
= 0.1
P(A ∩ C) = P({d})
= 0.2
P(B ∩ C) = P({d})
= 0.2
P(A ∩ B ∩ C) = 0
(No common event) Put all the above values in the formula:
P(A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) +
P(A ∩ B ∩ C)
= 0.5 + 0.6 + 0.2 - 0.1 - 0.2 - 0.2 + 0
= 0.8
Therefore, P(A U B U C) = 0.8 is the required probability.
To learn more about outcomes with probabilities: https://brainly.com/question/25688842
#SPJ11
Question 70 Approximately 38 percent of people living in on Whave the blood type o positive. A random sample of 100 people from region veled people in the samed the Contra Hypothesis test to vestigate whether the percent of people in thegion with positive blood is different from that of tegen wWwth of the following is the property for the H-0.35 He0.35 с Hep -0.35 D Hp 0.35 H: 0.38
Answer: The null hypothesis (H0) is the statement that there is no significant difference between the proportion of people in the region with the O positive blood type (p) and the population proportion (p0) of 0.38.
The null hypothesis is usually denoted as:
H0: p = p0
In this case, p0 is given as 0.38, so the correct answer is:
H0: p = 0.38
Step-by-step explanation:
There is a bag filled with 5 blue, 2 red and 3 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 the same colour?
Answer:
2/9 + 5/36 = 17/36
So the probability of getting 2 marbles of the same color is 17/36 or 0.472.
Answer:
17/36
Step-by-step explanation:
A ball is thrown straight up into the air. The x-axis shows the time, in seconds, and the y-axis shows the height of the ball, in feet, at any time (x)
Based on the information in the graph, it can be inferred that the false sentence is: The ball landed 11 feet from the person (option C).
How to identify the false option?To identify the false option we must read all the options and check them with the information in the graph:
The first option is true because the highest point the ball reaches is between 11 and 12 feet high.The second option is true because the person drops the ball about 5 feet above the ground.The third option is false because the graph does not show the displacement of the ball with respect to the person who throws it. It only shows your height and the time elapsed in the launch.The fourth option is true because the ball falls between 0.7 and 1.45 seconds.According to the above, the correct answer to this question would be option C because the sentence is false with respect to the information in the graph.
Learn more about Cartesian plane in: https://brainly.com/question/28574364
#SPJ1
A relation contains the points (1, -4), (3, 2), (4, -3), (x, 7), and (-4, 6). For which values of x will the relation be a function?
In response to the stated question, we may state that To conclude, the function problem's relation is a function for all x values except x between 3 and 4.
what is function?In mathematics, a function is a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, whereas outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.
If and only if each input has precisely one output, a relation is a function. To determine whether the connection stated in the issue is a function, we must examine whether any x values have more than one output.
We may achieve this by putting the specified points on a graph and looking for vertical lines that cross the graph more than once. If so, the relationship is not a function.
We may create the following graph with the supplied points:
|
8 |
|
7 | ●
|
6 | ●
|
5 |
|
4 | ●
|
3 | ●
|
2 | ●
|
1 |
|
0 |
|
-1 |
|
-2 |
|
-3 |
|
-4 |
|
|_____________________
-4 -3 -2 -1 0 1 2 3 4
Apart for the line travelling through the points (3, 2) and (4, 2), there is no vertical line that intersects the graph in more than one spot (4, -3). As a result, if x is between 3 and 4, the relation specified in the issue is not a function.
To conclude, the problem's relation is a function for all x values except x between 3 and 4.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
Suppose P is a predicate over integers, and you would like to prove that for all integers n, P(n) is true. Which of the following are valid proof approaches? Select all correct choices. Select one or more: O a. Show P(1) and that Vk E Z P(k) + P(k + 1) O b. Show P(0), P(1),P(-1) and that Vk E Z P(k) → P(k + 1) c. Show P(0) and that WK EN P(k) → (P(k + 1) ^ P(k – 1)) O d. Show P(0), P(1), P(-1) and that Vk E Z P(k) → P(k – 1) O e. Show P(0), P(1),P(-1) and that Vk e Z+ P(k) → P(k + 1) and Vk e Z+ P(-k) → P(-(k + 1)) O f. Show P(O), P(1) and that Vk e Z+ P(k) → P(-k)
The valid proof approaches are: b. Show P(0), P(1),P(-1) and that Vk E Z P(k) → P(k + 1) and e. Show P(0), P(1),P(-1) and that Vk e Z+ P(k) → P(k + 1) and Vk e Z+ P(-k) → P(-(k + 1))
Approach a is invalid because it only shows that P holds for some integers, but not for all integers.
Approach c is invalid because it only shows that P holds for non-negative integers, but not necessarily for negative integers.
Approach d is invalid because it only shows that P holds for non-negative integers and negative even integers, but not necessarily for negative odd integers.
Approach f is invalid because it only shows that P(0) and P(1) imply P(-k) for all positive integers k, but not necessarily for all integers.
Approach b is a valid proof approach because it establishes a base case for P(0), and then shows that P holds for P(1) and P(-1), and that if P holds for an arbitrary integer k, then it also holds for k+1.
Approach e is also a valid proof approach because it establishes a base case for P(0), and then shows that P holds for P(1), P(-1), and that if P holds for a positive integer k, then it also holds for k+1, and if it holds for a negative integer -k, then it also holds for -(k+1).
Learn more about mathematical proof techniques:https://brainly.com/question/29521826
#SPJ11
In advance of the 1936 Presidential Election, a magazine titled Literary Digest released the results of an opinion poll predicting that the republican candidate Alf Landon would win by a large margin. The magazine sent post cards to approximately 10,000,000 prospective voters. These prospective voters were selected from the subscription list of the magazine, from automobile registration lists, from phone lists, and from club membership lists. Approximately 2,300,000 people returned the postcards. a. Think about the state of the United States in 1936. Explain why a sample chosen from magazine subscription lists, automobile registration lists, phone books, and club membership lists was not representative of the population of the United States at that time. b. What effect does the low response rate have on the reliability of the sample? c. Are these problems examples of sampling error or nonsampling error? d. During the same year, George Gallup conducted his own poll of 30,000 prospective voters. His researchers used a method they called "quota sampling" to obtain survey answers from specific subsets of the population. Quota sampling is an example of which sampling method described in this module?
Answer:
a. The sample chosen from magazine subscription lists, automobile registration lists, phone books, and club membership lists was not representative of the population of the United States at that time for several reasons. Firstly, in 1936, only a small fraction of the US population had magazine subscriptions or owned cars, telephones or club memberships. Hence, the sample was biased towards the more affluent and educated sections of society, and did not include a representative cross-section of the population. Secondly, the sample was limited to people who could read and write, which excluded many poor and illiterate people who may have had different political views.
b. The low response rate of 2,300,000 out of the 10,000,000 postcards sent out indicates a response rate of only 23%. This means that the sample was not a random sample, and that the respondents were not representative of the larger population. Low response rates tend to increase sampling error and decrease the reliability of the sample.
c. These problems are examples of nonsampling error, which occur due to factors other than the sample selection process. The bias in the sample resulted from the sampling frame, which was not representative of the population, and the low response rate.
d. Quota sampling is an example of non-probability sampling, where researchers select a specific number of participants from different subgroups of the population based on predetermined quotas. In this method, the goal is to obtain a sample that is representative of the population in terms of certain characteristics, such as age, gender, or ethnicity. Quota sampling was used by George Gallup in 1936, and is still used today in various forms, such as stratified sampling.
(please could you kindly mark my answer as brainliest)
alissa owns a lovely country store. she buys 6 jars of honey for $65 and the sells 5 jars for $72. how many jars would alissa have to buy and then sell to make a profit of $214 on the honey?
She must purchase and sell at least 61 jars to make a profit of $214.
How to determineFirst, calculate the cost per jar of honey that Alissa purchased:
$65/6 jars = $10.83/jar
Then, calculate the selling price per jar of honey:
$72/5 jars = $14.40/Jar
The profit per jar of honey is the selling price minus the cost price:
$14.40 - $10.83 = $3.57/jar
To find the number of jars that Alissa needs to sell to make a profit of $214, divide the total profit by the profit per jar:
$214 ÷ $3.57/jar ≈ 60.03 jars
Since Alissa cannot sell 0.03 of a jar of honey, she must purchase and sell at least 61 jars to make a profit of $214.
Learn more about cost price at
https://brainly.com/question/29511226
#SPJ11
Analyze the proportion below and complete the instructions that follow. Use a model to find the missing value in the proportion. A. 4 B. 5 C. 10 D. 22 Please select the best answer from the choices provided A B C D
Step-by-step explanation:
The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle.
176 ft
You want to make a scale drawing of your bedroom to help arrange your furniture. You decide on a scale of 3 in. = 2 ft. Your bedroom is a 12 ft by 14 ft rectangle. What should the dimensions of your drawing be?
18 in. by 21 in.
If 5/y + 7/x=24 and 12/y + 2/x=24, find the ratio of x to y.
5/7
Simplify the ratio 8ft/12in. Use the conversion 12 in. = 1 ft.
8/1
Analyze the proportion below and complete the instructions that follow.
2x+5/3 = x-5/4
-7
If a+b/2a-b = 5/4 and b/a+9 = 5/9, find the value of b.
30
Analyze the ratio below and complete the instructions that follow.
$30:$6
Simplify the ratio.
5:1
If 14/3 = x/y then 14/x =
3/y
Analyze the diagram below and complete the instructions that follow.
In the diagram, AB:BC is 3:4 and AC = 42. Find BC.
24
Analyze the diagram below and complete the instructions that follow.
If AB:BC is 3:11, solve for x.
9
If a, b, c, and d are four different numbers and the proportion a/b = c/d is true, which of the following is false?
b/a = c/d
Analyze the diagram below and complete the instructions that follow.
Find the ratio of the width to the length of the rectangle, then simplify the ratio. Use the conversion 100 cm = 1 m.
3/4
Simplify the ratio 3 gal./24 qt. Use the conversion 4 qt = 1 gal.
1/2
The area of a rectangle is 4,320 ft2. The ratio of the length to the width is 6:5. Find the length of the rectangle.
72 ft
Analyze the diagram below and complete the instructions that follow.
Given that CB/CA = DE/DF, find BA.
10.5
Analyze the proportion below and complete the instructions that follow.
2/3 = 8/x
3, 8
Analyze the diagram below and complete the instructions that follow.
Are the polygons shown here similar? Justify your answer. The images are not drawn to scale.
Yes, PQR ~TSV with a scale factor of 1:√3
All __________ are similar.
squares
Analyze the diagram below and complete the instructions that follow.
Determine which 2 triangles are similar to each other. The images are not drawn to scale.
GHI ~ JKL
Analyze the diagram below and complete the instructions that follow.
Pentagon PQRST ~ pentagon XYZVW. Find the value of b. The images are not drawn to scale.
3
Analyze the diagram below and complete the instructions that follow.
If ABC ~ XYZ, find XY. The images are not drawn to scale.
24
ABC is a right triangle. The legs of ABC are 9 ft and 12 ft. The shortest side of XYZ is 13.5 ft, and ABC ~ XYZ How long is the hypotenuse of XYZ?
22.5 ft
Weight: 20kg Order: 10 mg q6 hours Therapeutic range : 2-3 mg/kg/day. What is daily dose? Is it safe? Is it therapeutic?
The daily dose is 40mg, this dose per kilogram per day is within the therapeutic range of 2-3mg/kg/day, which means that the medication is within the safe and effective range for this patient's weight.
The weight of the patient is 20kg, and the prescribed dosage is 10mg every 6 hours. To calculate the daily dose, we need to multiply the prescribed dosage by the number of doses per day. Since the medication is prescribed every 6 hours, this means that the patient will take it 4 times a day.
=> (10mg x 4 doses) = 40 mg
The therapeutic range is the range of doses at which the medication is most effective and safe. In this case, the therapeutic range is 2-3mg/kg/day. To determine if the daily dose is within the therapeutic range, we need to divide the daily dose (40mg) by the patient's weight (20kg) to get the dose per kilogram per day, which is 2mg/kg/day.
However, it's important to note that the therapeutic range is a general guideline and may vary depending on the patient's individual circumstances and medical history.
To know more about therapeutic here
https://brainly.com/question/14598348
#SPJ4
10) Find the vertex form of the parabola.
Step-by-step explanation:
4x + y^2 + 2y = - 5
4x = - y^2 -2y - 5
4x = - (y^2 + 2y) - 5 'complete the square' for y
4x = - ( y +1)^2 + 1 - 5
x = - 1/4 ( y+1)^2 - 1 vertex is at -1, -1
-14x+2y^2-8y -20 = 0
14x = 2y^2 -8y-20
14x = 2 ( y^2 - 4y) - 20 complete the square for y
14x = 2(y-2)^2 -8 - 20
x = 1/7 ( y-2)^2 - 2 Vertex is at -2 , 2
A rectangle has vertices at (-2, 1), (3, 1). (3,-2), and (-2,-2).
What is the area of the rectangle?
Check the picture below.
Find the equation of a line that passes through the points (1,3) and (2,2). Leave your answer in the form
y
=
m
x
+
c
The equation of the line that passes through the points (1,3) and (2,2) is y = -x + 4.
To find the equation of the line, we can use the slope-intercept form of a linear equation, y = mx + c, where m is the slope and c is the y-intercept.
First, we need to find the slope of the line. The slope is given by:
m = (y2 - y1)/(x2 - x1)where (x1, y1) and (x2, y2) are the coordinates of the two given points. Plugging in the values, we get:
m = (2 - 3)/(2 - 1) = -1Next, we can use one of the given points and the slope to find the y-intercept. Using the point (1,3), we get:
3 = (-1)(1) + cSimplifying this equation gives us:
c = 4
Therefore, the equation of the line in slope-intercept form is:
y = -x + 4.
Learn more about Line:
https://brainly.com/question/24644930
#SPJ4
The Nut House sells pecans worth $4 per pound and cashews worth $8 per pound. How many pounds of pecans and how many pounds of cashews must be
mixed to form 16 lb of a nut mixture worth $6.50 per pound?
Therefore, we need 6 pounds of pecans and 10 pounds of cashews to form 16 pounds of a nut mixture worth $6.50 per pound.
by the question.
Let x be the number of pounds of pecans and y be the number of pounds of cashews in the mixture.
We know that the total weight of the mixture is 16 pounds. Therefore, we have:
[tex]x + y = 16[/tex]
We also know that the mixture is worth $6.50 per pound. This means that the total cost of the mixture is:
[tex]16($6.50) = $104[/tex]
The cost of the pecans is $4 per pound, and the cost of the cashews is $8 per pound. Therefore, the total cost of the pecans in the mixture is 4x, and the total cost of the cashews is 8y. So we have:
4x + 8y = $104
Now we have two equations with two variables. We can solve for x and y using substitution or elimination.
Let's use substitution. We can rearrange the first equation to solve for x:
[tex]x = 16 - y[/tex]
Substitute this expression for x into the second equation:
[tex]4x + 8y = $104[/tex]
[tex]4(16 - y) + 8y = $104[/tex]
[tex]64 - 4y + 8y = $104[/tex]
[tex]4y = $40[/tex]
[tex]y = 10[/tex]
Now we know that there are 10 pounds of cashews in the mixture. We can use the first equation to find the number of pounds of pecans:
[tex]x + y = 16[/tex]
[tex]x + 10 = 16[/tex]
[tex]x = 6[/tex]
To learn more about total cost:
https://brainly.com/question/14927680
#SPJ1
company that ships glass for a glass manufacturer claimed that its shipping boxes are constructed so that no more than 8 percent of the boxes arrive with broken glass. The glass manufacturer believed the actual percent is greater than 8 percent. The manufacturer selected a random sample of boxes and recorded the proportion of boxes that arrived with broken glass. The manufacturer tested the hypotheses H, :p = 0.08 versus H, :p > 0.08 at the significance level of a = 0.01. The test yielded a p-value of 0.001. Assuming all conditions for inference were met, which of the following is the correct conclusion?А. The p-value is greater than a, and the null hypothesis is rejected. There is convincing evidence that the proportion of all boxes that contain broken glass is greater than 0.08.B. The p-value is greater than a, and the null hypothesis is rejected. There is not convincing evidence that the proportion of all boxes that contain broken glass is greater than 0.08.C. The p-value is greater than a, and the null hypothesis is not rejected. There is not convincing evidence that the proportion of all boxes that contain broken glass is greater than 0.08.D. The p-value is less than a, and the null hypothesis is rejected. There is convincing evidence that the proportion of all boxes that contain broken glass is greater than 0.08.E The p-value is less than a, and the null hypothesis is not rejected. There is not convincing evidence that the proportion of all boxes that contain broken glass is greater than 0.08.
The conclusion which is correct about given situation is D) The p-value (0.001) is less than the significance level (0.01), which means we reject the null hypothesis that the proportion of boxes with broken glass is equal to or less than 8%.
We have convincing evidence to suggest that the actual proportion of boxes with broken glass is greater than 8%. Therefore, we can conclude that the glass manufacturer's belief is supported by the sample data.
This conclusion is based on the fact that the p-value is less than the significance level, indicating that the observed data is unlikely to have occurred by chance alone assuming the null hypothesis is true.
For more questions like P-value click the link below:
https://brainly.com/question/29670749
#SPJ11
[Pre-calculus honors, grade 11] The light from a lighthouse can be seen from an 18-mile radius. A boat is anchored so that it can just see the light from the lighthouse. A second boat is located 25 miles from the lighthouse and is headed straight toward it, making a 44° angle with the lighthouse and the first boat. Find the distance between the two boats when the second boat enters the radius of the lighthouse light.
Using trigonometry, the distance between the two vessels when the second boat enters the lighthouse's radius is 13.46 miles.
Trigonometry: What Is It?The relationships between angles and length ratios are investigated in the branch of mathematics known as trigonometry. The use of geometry in astronomical study led to the establishment of the field during the Hellenistic era in the third century BC.
The distance between the two boats when the second boat enters the radius of the lighthouse light is 13.46 miles using trigonometry.
Triangle - what is it?A triangle is a polygon with three edges and three vertices. It belongs to the basic geometric shapes. A triangle with the vertices A, B, and C is represented by the Δ ABC.
Any three points that are not collinear create a singular triangle and a singular plane in Euclidean geometry. (i.e. a two-dimensional Euclidean space). In other words, every triangle is a part of a plane, and that triangle is a part of only one plane. In the Euclidean plane, all triangles are contained within a single plane, but in higher-dimensional Euclidean spaces, this is no longer the case. This page covers triangles in Euclidean geometry, especially the Euclidean plane, unless otherwise specified.
In this question,
The side of the isosceles triangle is given by,
l=2a sin(θ/2)
where a= 18 miles
θ= 44°
l= 2*18*sin 22°
= 36*0.374
= 13.46 miles
To know more about Trigonometry, visit
https://brainly.com/question/29002217
#SPJ1
Jordan sells jewelry online. Monthly revenue varies as a function of the single price that Jordan sets for all pieces. Use vertex form to create a quadratic model for Jordon’s monthly revenue
Using the vertex form the quadratic model for Jordan's monthly revenue is y = 20 / 9(x - 13.5)² + 844.44.
We can use the vertex form of a quadratic equation to create a model for Jordan's monthly revenue:
y = a(x - h)² + k
where y is the monthly revenue, x is the price that Jordan sets for all pieces, and (h, k) is the vertex of the parabola. We can find the vertex by using the formula:
h = -b / 2a
where b and a are coefficients in the standard form of the quadratic equation (y = ax² + bx + c).
To get started, we can substitute two points from the given data to form a system of equations:
864 = a(12 - h)² + k
884 = a(13 - h)² + k
When we deduct the first equation from the second, we obtain:
20 = a(13 - h)² - a(12 - h)²
Simplifying, we get:
20 = a(25 - 24h + h²) - a(16 - 24h + h²)
20 = 9a(h² - 1)
Solving for a, we get:
a = 20 / 9(h² - 1)
Next, we can use the third point to solve for h:
896 = a(14 - h)² + k
Substituting the expression we found for a, we get:
896 = 20 / 9(h² - 1)(14 - h)² + k
Simplifying, we get:
h = 13.5
Now we can solve for k by substituting in the values we found for h and a:
864 = a(12 - h)² + k
k = 844.44
Finally, we can write the quadratic model for Jordan's monthly revenue using the values we found for h, k, and a:
y = 20 / 9(x - 13.5)² + 844.44
Therefore, the quadratic model for Jordan's monthly revenue is:
y = 20 / 9(x - 13.5)² + 844.44
Learn more about the vertex form at
https://brainly.com/question/13921516
#SPJ4
The question is -
Jordan sells jewelry online. Monthly revenue varies as a function of the single price that Jordan sets for all pieces. Use vertex form to create a quadratic model for Jordon’s monthly revenue.
Price(s) 12 13 14 15 16
Revenue(s) 864 884 896 900 896
25 out of 68 students have vanilla ice cream and the rest have chocolate. What is the ratio of the number of students who have vanilla to the total number of students?
Answer: The total number of students is the sum of the number of students who have vanilla and those who have chocolate:
Total = 25 + (68 - 25) = 43
The ratio of the number of students who have vanilla to the total number of students is:
Vanilla : Total = 25 : 43
This ratio cannot be simplified any further because 25 and 43 do not have any common factors other than 1. Therefore, the ratio of the number of students who have vanilla to the total number of students is:
25 : 43
Step-by-step explanation:
ratings services measure television audiences. the measurement of the percentage of all households with televisions that are tuned into the same show at the same time is called
Therefore , the solution of the given problem of percentage comes out to be were tuned in to a specific program or show at a given moment.
What is percentage?A number or figure stated as a fraction of 100 is referred to as "a%" in statistics. The versions that begin with "pct," "pct," and "pc" are also uncommon. The common way to indicate it is with the numeral "%," though. Furthermore, there are no indicators and a flat ratio of every single thing to the total number. Percentages are basically integers because they frequently add up to 100.
Here,
The TV ratings, also known as the TV audience share, are a measurement of the proportion of all television-owning households that are watching the same program at the same moment.
Networks and marketers use it as a gauge of a TV show's popularity to decide how successful a program will be and how much to charge for advertising during it.
Companies like Nielsen, which use a sample of homes with televisions to estimate the audience size for a given program or show, are usually in charge of gathering the TV ratings.
TV ratings are expressed as a proportion of all households with televisions that were tuned in to a specific program or show at a given moment.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
67777+776567.55555=?
Answer: 844344.55555
two people standing at different locations are looking at a tall building. person a angle of elevation to the building is 35 degrees. person b angle of elevation is 77 degrees. the building is 8 miles away from person b. how far away is person a from the building?
Therefore, Person A is approximately 95.17 miles away from the building.
To find out how far person A is from the building, we'll need to use trigonometry. The diagram below shows the situation.
Given that Person A's angle of elevation to the building is 35 degrees, we'll let angle BAC be 35 degrees.
Similarly, since Person B's angle of elevation is 77 degrees, we'll let angle ABC be 77 degrees. We'll also let AB be x, the distance from Person A to the building, and BC be 8 miles, the distance from Person B to the building.
First, we'll use the tangent function to find the height of the building. In triangle ABC, tan(77) = height/8. Solving for the height, we get:
height = 8tan(77) ≈ 61.23 miles.
Next, we'll use the tangent function again to find x. In triangle ABC, tan(35) = height/x + 8. Solving for x, we get:
x = (height)/(tan(35)) - 8
≈ 103.17 miles - 8
≈ 95.17 miles.
for such more questions on elevation
https://brainly.com/question/25748640
#SPJ11
Select the two correct answers.
Which statements correctly describe the equation shown?
y = 4 × 18
a. the value of y is more than 18.
b. The value of y is 4 times as many as 18.
c.The value of y is 4 fewer than 18.
d.The value of y is 4 times as much as 18.
e.The value of y is 18 more than 4.
f. The value of y is 18 fewer than 4.
Statement d is also correct because it means the same thing as statement b, just using different phrasing.
What is an equation?It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equal sign (=). The equation represents a relationship between the expressions on both sides, indicating that they have the same value.
According to question:The two correct statements that describe the equation y = 4 × 18 are:
b. The value of y is 4 times as many as 18.
d. The value of y is 4 times as much as 18.
Statement b is correct because the equation y = 4 × 18 means that y is equal to 4 times the value of 18, or y = 4 × 18 = 72.
Statement d is also correct because it means the same thing as statement b, just using different phrasing. "As much as" and "many as" are interchangeable in this context, and both mean "multiplied by."
To know more about equation visit:
https://brainly.com/question/29174899
#SPJ1
5. Seventeen fewer people attended the second basketball
game of the season than attended the first game. One
hundred ninety-two people attended the second game.
How many people attended the first game?
209 went to the first game.
192+17=209
Happy to help.