Answer:
2
Step-by-step explanation:
3(5y+3) = 39
15y+9 = 39
15y=30
y=2
classify each sample as random, systematic, stratified, or cluster. in a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years.
The Classification of each sample ( i.e., sampling technique ) are
Cluster Systematic Random Systematic Stratified1) Cluster sampling is a type of sampling in which the whole population is divided into separate groups (clusters). After which a simple random sample is selected from these clusters to conduct the analysis. To determine whether the students have less homework to do now as compared to the previous year, all teachers of two buildings in a large school districted are interviewed. In the provided scenario, the two buildings can be considered as two cluster. Since, all the teachers of these two strata are interviewed, the sampling method can be considered as cluster sampling.Hence, the sampling method can be considered as a cluster sampling.
2)Systematic sampling is a type of sampling in which every k member is included in the sample, after the selection of the first unit. According to the question, every seventh customer is asked about his/her favorite store. Since, every seventh customer is asked about his/her favorite store, the sampling method can be considered as a systematic sampling.
3) Simple random sampling is a type of sampling in which every unit of the population has an equal chance of being included in the sample.
In the provided scenario, nursing supervisors are selected using random numbers. That is, the nursing supervisors are selected randomly from the population. Hence, the sampling method can be considered as simple random sampling.
4) According to the question, every hundredth Hamburg manufactured is checked. Since, every hundredth Hamburg manufactured is selected for checking, the sampling method can be considered as a systematic sampling.
5) Stratified random sampling is one of type of sampling techniques, which is used for a heterogeneous population. In case of stratified sampling, the heterogeneous population is divided into strata before collecting the sample . According to the question, mail carriers are divided into four groups according to gender and the route use by them. Then 10 people are selected randomly from each group for interview. Therefore, the population is divided into four groups according to two different characteristics and then 10 people are selected randomly from each group. Hence, the sampling method can be considered as stratified sampling.
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Complete question :
Classify each sample as random, systematic, stratified, or cluster
1. In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years.
2. Every seventh customer entering a shopping mall is asked to select his or her favorite store.
3. Nursing supervisors are selected using random numbers in order to determine annual salaries.
4. Every hundredth hamburger manufactured is checked to determine its fat content.
5. Mail carriers of a large city are divided into four groups according to gender (male or female) and according to whether they walk or ride on their routes. Then 10 are selected from each group and interviewed to determine whether they have been bitten by a dog in the last year.
Calculate the iterated integral integral_1^4 integral_0^2 (6x^2y - 2x)dy dx
For the number line shown, which statement is NOT true. (HINT substitute a number for
the a and b values.)
la > b
-|b|
Ola > a
|a| < b|
a
0.
b
The statement which is not true for the given number line is |a| > b, option(a).
What is a number line?
A number line is a representation of a graduated straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
For the given question,
Point a is to the left of 0, so it is a negative number.
So taking the modulus of a, we get the positive value of a.
But since a is closer to 0 than b, if the positive value of a is less than b.
For example if a = -4 and b is 6
|a| = |-4| = 4 < b
So |a| < b
Therefore the incorrect statement is option(a), |a| > b.
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Find the slope of the line with the points (-2/3,-3) and (-1.5,-5/7)
The slope of the line with the points (-2/3,-3) and (-1.5,-5/7) is 2.743.
What is a slope?The concept that will be used is the slope. A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
The slope of the line passing through the points9 x1 y1) and (x2, y2 ) can be written as :
m= (y2 - y1)/(x2 -x1)
x1 = -2/3 , y1 = -3
x2 = -1.5 , y2 = -5/7
Then substitute the values,
Then the slope = [ (-5/7+3) / (-1.5+2/3 )]
= (16/7)/(-5/6)
=2.743
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Evaluate the two expressions below to decided if they are equivalent to each other. Write Yes or No when stating if they are equivalent.
Value of expression 1: 176
Value of expression 2: 32
Are they equivalent? No
How to evaluate expressions?Equivalent expressions are expressions that work the same way even though they look different. They have the same value for all values of the variables. They can be transformed into each other using the rules of algebra, such as the commutative, associative, and distributive properties.
Since the value of y is 2
Expression 1: 4y (y + 20)
To evaluate 4y (y + 20), substitute y = 2 into 4y (y + 20). That is:
4*2 (2 + 20) = 8(2+20) = 8(22) = 176
Expression 2: 4y + 24
To evaluate 4y + 24, substitute y = 2 into 4y + 24. That is:
(4*2) + 24 = 8 +24 = 32
Since the value of expression 1 is not equal to the value of expression 2. Thus, they are not equivalent.
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Tim wants to use tape to cover the outside of this bookshelf. It has three horizontal lengths, each 323 feet, and two vertical lengths each 258 feet. What is the total amount of tape necessary to cover the outside of these shelves? Responses
The total amount of wood to build the shelves will be;
⇒ 17[tex]\frac{1}{4}[/tex] feet
What is mean by Fraction?A fraction is a piece of a whole number and a technique to divide a number into pieces that are each the same.
Or, a fraction is a number that is stated as a quotient.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
To build the bookshelf, Tim want the three horizontal length of each length 3[tex]\frac{2}{3}[/tex] feet and two vertical length with each length 2[tex]\frac{5}{8}[/tex] feet.
Now, Find the total lengths for the amount of wood as;
The length of each horizontal = 3[tex]\frac{2}{3}[/tex] feet
And, The vertical length = 2[tex]\frac{5}{8}[/tex] feet
So, Total horizontal length = 3 × 3[tex]\frac{2}{3}[/tex]
= 3 x 11/3
= 11 feet.
And, Vertical length = 2 × 2[tex]\frac{5}{8}[/tex] feet.
= 2 × 21/8
= 5[tex]\frac{1}{4}[/tex] feet
Thus, Total length of wood = 11 + 21/4 feet
= ( 44 + 21 ) / 4
= 69 / 4 feet
= 17[tex]\frac{1}{4}[/tex] feet
Therefore,
The total amount of wood to build the shelves will be;
⇒ 17[tex]\frac{1}{4}[/tex] feet
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The table represents a proportional relationship. Write an equation to represent the relationship.
The table has two rows and three columns. The first row is cups of flour, x. The second row is loaves of bread, y. Six cups of flour, two loaves of bread. Nine cups of flour, three loaves of bread. Fifteen cups of flour, five loaves of bread.
Enter the correct equation in the box.
Answer:
[tex]C = \dfrac{1}{3} L[/tex]
Step-by-step explanation:
Number of cups of flour/number of loaves = constant, k
We can see this ratio is constant throughout the table
6/2 =9/3 = 15/5 = 3
Therefore the equation can be written as
C/L = 3
or
C = (1/3)L
where C is the number of cups needed to make L loaves
Helpppppppp due soon
if u can't do this then ur in the matrix and a failure to life
Thankyou for answering first section of this question but noone seemed able to answer this second section: Out of a group of 32 students playing their favourite hobbies, the teenager from my question before, rejoins the group and another teenager is picked at random. What is the probability that the teenager picked at random is male and their favourite hobby is playing video games? The group in total is 32, 14 males, 18 females playing their favourite hobbies. Out of these 14 males participating, 9 love sports, 2 love playing video games, 3 love watching films. Out of the 18 females playing their favourite hobbies, 7 of these love sports, 3 love playing video games, 8 love watching films. What is the probability that the teenager that is picked from random is male and their favourite hobby is playing video games? You can simplify this fraction if you wish.
The probability that the teenager picked at random is male and their favorite hobby is playing video games is given as follows:
1/16.
How to obtain the probability?The definition of a probability is that it is calculated as the division of the number of desired outcomes by the number of total outcomes.
The desired and the total outcomes for this problem are given as follows:
Desired outcomes: Males who have playing video games as their favorite hobby.Total outcomes: 32 students surveyed.Of the 14 males, 2 have playing videogames as their favorite hobby, hence the number of desired outcomes is given as follows:
2.
Then the probability is calculated as follows:
p = 2/32
p = 1/16.
The probability was simplified as the quotient of 32 and 2 has a result of 16.
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You buy a new computer for $1200. The value y (in dollars) of the computer decreases by 35% each vear.
7) Write an exponential decay model that represents the value of the computer.
8) Use the model from #7 to estimate the value after 3 years.
On solving the provided question we can say that - The Range of the given function, f(x) = sin(x) , Range = -1 < y < 1
What is Range?Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.
The Range of the given function, f(x) = sin(x) -1 < y < 1
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Solving the provided question, we can say that the exponential growth is the positive form of the exponential decay model that will be as the = > y = [tex]1500(.82)^t[/tex]
What is exponential growth?The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth. Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially. The exponential function has the formula f(x)=abx where a and b are positive real values. Sketch exponential functions using the app below for different values of a and b. Describe verbally how modifying a and b changes the graph's form.
here,
we can say that the exponential growth is the positive form of the exponential decay model
that will be as the = > y = [tex]1500(.82)^t[/tex]
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Help
The table shows how the amount of Ariel’s bank account changed over several weeks.
Fill in the missing values.
Based on the changes that occurred in Ariel's bank account, the missing values are -$223.75, -$1.40, and -$4.40.
What are the missing values in the table?The missing values from the given table of the changes that occurred in Ariel's bank account balance is determined as follows:
Week 4 change:
Change = -$41.40 - $182.35
Change = -$223.75
Week 5 balance: this is obtained from the sum of the change and the balance of the previous week:
Balance = -$41.4 + $40
Balance = -$1.40
Week 6 change:
Change = -$5.80 - (-$1.4)
Change = -$4.40
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Which step is missing in the proof?
We can see here that the missing proof is option D: ΔBPQ ∼ ΔDRS Reason: SSA.
What is a proof?A proof is a logical argument that demonstrates the truth of a statement or theorem. In mathematics, a proof is a sequence of logical steps that shows that a statement is true by using a combination of logical reasoning, definitions, established facts, and accepted rules of inference.
In other fields, such as computer science, a proof may refer to a demonstration that a program or algorithm is correct or that a system has a certain property.
We see here that the option selected above is actually the missing step in the proof.
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Solve 6x - 7y= 18 for y
To solve the equation 6x - 7y = 18 for y, you can start by isolating y on one side of the equation. To do this, you can add 7y to both sides of the equation:
6x - 7y + 7y = 18 + 7y
6x = 18 + 7y
Next, divide both sides of the equation by 7:
6x/7 = 18/7 + 7y/7
x = 3 + y
So the solution is y = 3 - x
This is the final solution for y in the equation 6x - 7y = 18
HELP! :,) pleaseeeee
Answer:
1)a=8,b=6,c=4
2)a=4,b=9,c=14
3)a=12,b=12,c=24
julia buys a game console online for $497. if the shipping and handling is an additional 7% of the price, how much is the shipping and handling?
A variable can be used in an expression that represents a real-world situation where one value is unknown, not stated or can change. Let’s say Jenna is four years older than her sister. If you know that Jenna’s sister is 10, then Jenna is 4 + 10. Jenna is 14. If you don’t know how hold Jenna’s sister is, you can use a variable in an expression to represent Jenna’s age. If we call Jenna’s sister’s age “a,” then Jenna’s age is 4 + a. We could use any letter to represent the variable. 4 + b or 4 + z represent Jenna’s age, too.
The requried equation model for the age of Jenna and her sister is given as y = x + 4.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
A variable can be used in an expression that represents a real-world situation where one value is unknown, not stated or can change.
Let the age of the Jenna sister be x,
According to the question,
Jenna[y] is four years older than her sister,
So,
y = x + 4
Form above expression
When her sister is of 4 years,
Jenna age,
y = 4 + 4
y = 8 years
Thus, the requried equation model for the age of Jenna and her sister is given as y = x + 4.
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how many whole are there in 4/6
The total number of whole number between -4 and 6 are 7 that are 0,1,2,3,4,5,6.
What is an example of a whole number?Whole numbers are the complete set of natural numbers plus '0'. Examples include: 0, 11, 25, 36, 999, 1200, and so on. Learn more about numbers by clicking here.
Is every whole number an integer?Integers supplement this set of numbers because they include negatives, but otherwise follow the same rules. As a result, all whole numbers are integers (because they are all positive integers), but not all integers are whole numbers (because some are negative).
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g³-h² + 8, when g = 3, h = 5
Answer:
The expression G³-h² + 8, when g = 3 and h = 5, evaluates to:
3³ - 5² + 8 = 27 - 25 + 8 = 10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
3^3=27,
5^2=25,
27-25=2,
2+8=10
what is 2899 divided by 8999?
0.3221469052
I hope its right
An orbit of a satellite around a planet is an ellipse, with the planet at one focus of this ellipse. The distance of the satellite from this star varies from 300,000 km to 500,000 km, attained when the satellite is at each of the two vertices. Find the equation of this ellipse, if its center is at the origin, and the vertices are on the x-axis. Assume all units are in 100,000 km.
An ellipse's equation is (x - h)2/a2 + (y - k)2/b2 = 1.
What are Equations?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
A statement is not an equation if it has no "equal to" sign.
According to our question-
c is the distance between the center and the focus, and a and b are the distances from the center to the vertices, respectively, in the formula c2 = a2 - b2.
Therefore, we have 12 = 42 - b2.
As a result, 1 = 16 - b2, or b2 = 15.
The final equation is therefore written as x2/16 + y2/15 = 1.
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ST=4x-4 TU=4x-10 and SU =5x+1 determine the numerical length of TU
The numerical length of TU is TU = 26.
What is the numerical length?
The formula states that the base-numerical length of a number is the number of digits in the base-numeral for where is the floor function. An -digit's length is another name for its multiplicative persistence.
Given:
ST=4x-4, TU=4x-10, and SU =5x+1
We have to find the numerical length of TU.
Here,
SU = ST + TU
5x + 1 = 4x - 4 + 4x - 10
Simplifying,
5x + 1 = 8x - 14
Subtract 1 on both sides,
5x + 1 - 1 = 8x - 14 - 1
5x = 8x - 15
Subtract 5x on both sides,
5x - 5x = 8x - 15 - 5x
0 = 3x - 15
3x = 15
x = 5
⇒ TU = 5(5) + 1 = 25 + 1 = 26
Hence, the numerical length of TU is TU = 26.
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For what value of n is the following equation true ?
3n = $36.90
Write 24 fluid ounces as a number of cups
24 fl oz = _____ c
1) The equation is true for n = $12.30
2) 24 fluid ounces is equivalent to 3 cups.
For what value of n is the given equation true?Here we want to see for which values of n is the equation:
3n = $36.90
true.
To get that,we need to isolate the variable n. To do so, we can divide both sides by 3.
n = $36.90/3
n = $12.30
That is the value of n.
How to change units?
We want to write 24 fluid ounces as cups, we know the relation:
1 fluid ounce = 0.125cups.
Then we can just do the change of units as follows:
24 fluid ounces = 24*(0.125 cups.) = 3 cups.
So there are 3 cups on 24 fluid ounces.
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Can someone help me please ?
On solving the provided question, we can say that perimeter of the quadrilateral the value of x =0.8333333333.
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
Here quadrilateral sides are 3x+2, x, 2x+5, 6x-17
To find the perimeter of a quadrilateral,
we need to add all the lengths of four sides,
i.e., the perimeter of ABCD Quadrilateral = sum of lengths of all sides
= AB +BC + CD + DA.
= 3x+2+x+ 2x+5+6x-17
= 12x+(7-17)
= 12x-10
Simplifying
12x + -10 = 0
Reorder the terms:
-10 + 12x = 0
Solving
-10 + 12x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 12x = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 12x = 0 + 10
12x = 0 + 10
Combine like terms: 0 + 10 = 1
12x = 10
Divide each side by '12'.
x = 0.8333333333
Simplifying
x = 0.8333333333
so the value of x =0.8333333333
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The critical F value with 8 nurerator degrees of freedom and 29 denominator degrees of freedom at a 0.01 Is 2.28 -2.28 A value Greater than 2.28 A value less than -2,20
Critical F value with 8 numerator and 29 denominator degree of freedom at α = 0.01 is 3.20
The critical F value with 8 numerator degrees of freedom (also known as the numerator degrees of freedom or the numerator df) and 29 denominator degrees of freedom (also known as the denominator degrees of freedom or the denominator df) at a significance level of 0.01 can be found using a table of F-distribution values or by using a calculator or a software that can compute the F-distribution function.
The critical F value with 8 numerator degrees of freedom (df1) and 29 denominator degrees of freedom (df2) at a significance level of 0.01 can be found using the following formula:
F_critical = F(1 - alpha, df1, df2)
where F(1 - alpha, df1, df2) is the inverse of the cumulative distribution function (CDF) of the F-distribution, alpha is the significance level (0.01 in this case), and df1 and df2 are the numerator and denominator degrees of freedom, respectively.
For this case, the critical F value can be found using the inverse cumulative distribution function with 1- alpha = 0.99, df1 = 8 and df2 = 29
F(0.99,8,29) = 3.17
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Arianna throws a ball up in the air. The graph below shows the height of the ball h in
meters after t seconds. After how many seconds does the ball hit the ground?
Height (in meters)
10
0.5
1
(1.5, 11.025)
15
2
Time (in seconds)
2.5
(3, 0)
The y-coordinate rises as the x-coordinate rises when a line's slope is positive, indicating that the line "slopes upward."
How do you know if slope is upward or downward?You may quickly determine whether the graph of a quadratic function expands upward or downward by looking at the leading coefficient: if it is larger than zero, the parabola opens upward; if it is less than zero, the parabola opens downward.
An upward-sloping line has a positive slope when the y-coordinate rises while the x-coordinate falls. In the case of a line with a negative slope, the y-coordinate falls as the x-coordinate rises, causing the line to "slide downward.
With a positive slope, two variables are positively correlated, meaning that as x rises, y rises as well, and as x falls, y falls as well. A line on a line graph with a positive slope goes from left to right while maintaining its visual slope.
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Consider the line y = 4x + 9. If a second line is perpendicular to this one, what is its slope? PLEASE SHOW YOUR WORK!!!
Answer:
-1/4
Step-by-step explanation:
perpendicular slopes are negative reciprocals
the negative reciprocal of 4 is -1/4
help me pleaseee!!;)
So on solving the provided question, we can say that the mathematical expression will be as follows, z-12, 17xy, 4x+75.
What kinds of expressions are examples?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +. In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
x - 6 + z = 9-6+5 = 8
5*(x+y) = 5*(9 + 10 ) = 95
2x + z = 2*9 + 5 = 23
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solve for s
S/31=24 s=
Answer:
s = 744Step-by-step explanation:
[tex]\cfrac{s}{31}=24[/tex]
Multiply both sides by 31.
[tex]\cfrac{31s}{31}=24\times\:31[/tex]
[tex]\boxed{s=744}[/tex]
-Hope this helps!
Answer:
s = 744
Step-by-step explanation:
Now we have to,
→ find the required value of s.
The equation is,
→ s/31 = 24
Then the value of s will be,
→ s/31 = 24
→ s = 24 × 31
→ [ s = 744 ]
Hence, the value of s is 744.
which expression is equivalent to -2(x+7)-45
Answer:
Step-by-step explanation:
(m−3+4n)⋅(−8)=
use distributive property
Answer:
-8m+24-32n
Step-by-step explanation:
Distribute the -8 to each term inside the parentheses.
(m−3+4n)⋅(−8)=
-8 *m -3 * -8 + 4n * -8
-8m+24-32n
Answer:
[tex] \sf \: -8m - 32n + 24 [/tex]
Step-by-step explanation:
Given expression,
→ (m - 3 + 4n)(-8)
Let's simplify the expression,
→ (m - 3 + 4n)(-8)
→ (-8 × m) + (-8 × -3) + (-8 × 4n)
→ -8(m) - 8(-3) -8(4n)
→ -8m - (-24) - 32n
→ -8m + 24 - 32n
→ -8m - 32n + 24
Thus, answer is -8m - 32n + 24.