Choose three true statements about the angles of the figure
1: Z1 and the 55* angle are adjacent
2: mZ1=55* because Z1 and the 55* angle are vertical angles
3: mZ2=125* because Z2 and the 55* angle are supplementary
4: mZ2 cannot be determined from the information
5: mZ1=180*-55*
6: mZ2=180*-55*-45*
Answers
Three true statements about the angles of the given figure are,
1. angle 1 and the 55 degree angle are adjacent.
5. angle 1 = 180 degree - 55 degree
6. angle 2 = 180 degree - 55 degree - 45 degree.
How are complementary angles defined?Complementary angles are two angles whose measures add up to 90 degrees. For example, an angle of 45 degrees and an angle of 45 degrees are complementary. When two angles are complementary, they form a right angle. The symbol for complementary angles is ∠A + ∠B = 90°.
What is the difference between acute angles and obtuse angles?Acute angles are angles whose measure is less than 90 degrees. They are sharp angles that are less than a right angle. On the other hand, obtuse angles are angles whose measure is greater than 90 degrees. They are angles that are greater than a right angle and less than 180 degrees. In other words, obtuse angles are angles that are wider than a right angle but less than a straight angle.
Analysing all the statements given in the question,the corrrect options are
Option 1, since angle 1 and 55 degree share the same vertex.
Option 5, since the sum of angle 1 and 55 degree is 180 degrees being supplementary angles.
Option 6, since the sum of all the interior angles of a triangle is 180 degrees.
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Related Questions
Which of the following is not true about cluster sampling?
Cluster sampling has the advantage of reducing sampling variability.
Cluster sampling has the advantage of saving time and money.
Cluster sampling uses clusters, which are miniature, nonoverlapping versions of the population.
Cluster sampling uses randomly selected clusters and samples everyone within each cluster.
answer is A
Answers
The option that is not true about cluster sampling is option A: Cluster sampling has the advantage of reducing sampling variability.
What is cluster sampling?
Cluster sampling often leads to larger sampling variability than other types of sampling methods, such as simple random sampling or stratified sampling, because clusters may not be a representative sample of the population and the individuals within a cluster may be more similar to each other than to individuals in other clusters.
Therefore, This increases the chance that the sample will not be representative of the population, which can result in a higher level of sampling error.
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Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.
Please answer both parts
8(x + 7)
Answer here _____________
Use Distribute Property to rewrite the algebraic expression.
6(11 + x)
Answer here ____________
Answers
The value of 8(x + 7) is 8x + 56.
The value of 6(11 + x) is 66 + 6x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The distributive property of multiplication over addition states that,
a x (b + c) = a x b + a x c
Now,
8 x (x + 7)
= 8 x (x) + 8 x 7
= 8x + 56
6 (11 + x)
= 6 x 11 + 6 x (x)
= 66 + 6x
Thus,
The value is 8x + 56 and 66 + 6x.
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Find the slope from the pair of points (-4,-5) and (4,5)
Answers
Explanation: to find the slope using two points, you use the formula below.
The two points given would result in these values. Y2= 5 Y1= -5 X2= 4 X1= -4. Plug those into the formula below and you have your slope of 10/8 which reduces to 5/4. If you have any questions, please ask.
Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. how much cheese does mai use per pizza? At this rate, how much cheese will she need to make 15 pizzas? Please help its due tomorrow
Answers
Mai uses 10 ounces of cheese to make 4 pizzas, so she uses 10/4 = <<10/4=2.5>>2.5 ounces of cheese per pizza.
To make 15 pizzas, she will need 152.5 = <<152.5=37.5>>37.5 ounces of cheese.
When merida divides her age by 3 and adds 5, the result is 9 which equation represents this situation where m is meridas age?
a/ 9= (m ~ 3) x 5
b/ m= (9 - 3 ) + 5
c/ m = (9~3) +5
d/ 9= (m~ 3) +5
Answers
Answer:
d which implies m/3 + 5 = 9
At a fancy dinner party, the number of courses that will be served determines how many forks will be set out by the hostess.
c = the number of courses served during dinner
f = the number of forks set out by the hostess
Which of the variables is independent and which is dependent?
Answers
Answer:
c is the independent variable and f is the dependent variable
Step-by-step explanation:
How do you graph 3 4 on a number line?
Answers
By drawing a number line and then marking it as 0 and 1, and by dividing the distance in 8 equal parts we can graph 3/4 on the number line, where 3/4 = 6/8, which will be equal to the sixth part from the left end.
A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present.
For drawing 3/4 on a number line, we will follow the following steps:
We will first draw a line and mark 0 and 1 on it.
In between 0 and 1, we will divide the total distance into 8 equal parts, where one part will represent (1/8)th portion.
As 3/4 can be written as 6/8 which will be equal to 6 parts out of those 8 parts.
Hence. by marking there we can locate 3/4 on the number line.
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The correct question should be like:
How do you plot 3/4 on number line
What does the slope of a log-log graph represent?
Answers
The Slope of log - log graph represents the power of the relationship, and a straight line which indicates that there exists a definite power relationship .
What is Logarithm ?
The Logarithm is defined as power to which a number must be raised to get some other number .
A log-log plot is the plot in which both the x-axis and y-axis use a log scale.
The plot of logarithms of variables helps in extracting the information about the power relationship. The case of freely falling object is used to illustrate a log - log plot.
A plot of the logarithm of freefall distance as a function of logarithm of time gives a straight line of slope 2.
Therefore , The slope of log-log plot gives the power of relationship, and a straight line indicating that a definite power relationship exists.
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At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Choose three pilots at random to feature on a training brochure. Find the probability that there will be
Answers
Probability measures how probable something is to occur.
What the probability?Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, if we are unclear of how an event will turn out. Statistics is the study of occurrences subject to probability.
Probability is a measure of how likely something is to happen.
18 Marines, 10 Navy personnel, and 3 Coast Guard troops received their wings at a recent naval aviation school graduation.
Total: 18 + 10 + 3 = 31
a. 1 of each. P = C 18 * C 10 * C 3 / C 3 31
= (18 * 10 * 3) / 4495 = 0.120
b: 0 members of the navy = (C_{21} ^ 3)/(C_{21} ^ 3) = 1330/4495 = 0.296
c: 3 Marines.
p = (G ^ 3)/(C_{31} ^ 3) = (8 + 6)/4495 = 0.182
The complete question is
At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Choose three pilots at random to feature on a training brochure. Find the probability that there will be
a.1 of each 0.120 b. members of the Navy 0.296 c. Marines 0.182.
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You decide to make 10 lb of a peanut-and-raisin mixture to sell at the class snack sale. You can buy peanuts for $2.50 per pound and raisins for $1.75 per pound. If you want to sell the mixture for $2 per pound, how many pounds of peanuts and how many pounds of raisins should you use
Answers
On solving the provided question, we can say that by linear equation 10/3 pounds of peanuts and how many pounds of raisins should you use.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here,
the linear equation that is formed is
10p +7 (10 - p) = 80
10p + 70 - 7p = 80
3p = 70
p = 10/3
10/3 pounds of peanuts and how many pounds of raisins should you use
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Fill in the blanks
Complete the sentence
Answers
Answer: There are 30 cubes in each layer and 3 layers. (Up to down.)
Explanation: You can multiply the x and y axis for one layer, and then count how many layers there are. There are 90 cubes in all.
I hope this helps, have a good day!
Can u please help.........................
Answers
The triangle ABC, along with it's image after the reflection x = -3, is given on the graph presented at the end of the answer.
How to obtain the image of the triangle?The coordinates for the original vertices of the triangle are given as follows:
A(-5, -6), B(-4, -3) and C(-3,-7).
The reflection line is given as follows:
x = -3.
The reflection lines is a vertical line, meaning that for the reflected triangle, the y-coordinate remains constant, while the x-coordinate means that the triangles will be on the same distance relative to the reflected line, however on the opposite direction.
Vertex A has a x-coordinate two units left of x = -3, hence the coordinates of the image will be two units right, hence:
A'(-3 + 2, -6) = (-1, -6).
Vertex B has a x-coordinate one unit left of x = -3, hence the coordinates of the image will be one unit right, hence:
B'(-3 + 1, -3) = B'(-2,-3).
Vertex C remains at the same position, as it has a x-coordinate of -3.
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A frozen yogurt shop charges $4. 00 for a bowl of yogurt and $0. 25 for each topping.
If the total charge for yogurt is dependent on the base price of the bowl of yogurt plus the number of toppings added, what is the value of y at the y-intercept of the line representing this situation?
A $4. 25
B $0. 25
C $4. 00
D $3. 75
Answers
If the total charge for yogurt is dependent on the base price of the bowl of yogurt plus the number of toppings added, the value of y at the y-intercept of the line representing this situation is C $4.00
The y-intercept of a line is the point where the line crosses the y-axis. In this case, the y-intercept is the cost of the bowl of yogurt without any toppings. The base price of the bowl of yogurt is $4.00, so the y-intercept of the line representing this situation would have a value of $4.00.
This means that the cost of a bowl of yogurt without any toppings is $4.00. The cost of the bowl of yogurt with toppings is determined by adding the cost of the bowl of yogurt plus the cost of the toppings. Therefore, the y-intercept of the line representing this situation would have a value of $4.00.
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I NEED HELP THIS IS DUE TOMORROW!!!
Answers
The ratio of the new area to the old area is 16:1. The correct option is the second option
Calculating the area of a circleFrom the question, we are to determine the statement that is true about the area of the circle.
First, we will determine the old area
Using the formula for calculating the area of a circle
A = πr²
Where A is the area
and r is the radius
From the given diagram,
r = 6 ft
Thus,
Old area = π × 6²
Old area = 36π ft²
Now,
If the radius is quadrupled
That is,
r = 4 × 6 ft
r = 24 ft
The new area will be
A = π × 24²
A = 576π ft²
The ratio of the new area to the old area is
576π ft² / 36π ft²
16 /1
= 16 : 1
Hence, the ratio is 16:1
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In the figure below, side AC of ABC lies on line l.
A. 25
B. 30
C. 22
D. 24
Answers
B is 40° and A and C are congruent. Since triangles are 180°, A and C would each be 70°. Angle C and 5y are supplementary, meaning they add up to 180°. If Angle C is 70°, then angle 5y would be 110°. In order to find y, 110 will be divided by 5, resulting the answer to be 22.
5. Solve for x: (x-11)-5<(2x-11)+1
A. x>-6
B. X<-6
C. X<2
D. x>2
Answers
Answer:
A. x>-6
Step-by-step explanation:
x-11<2x-11+1+5
x-2x<-11+1+5+11
-x<6 (Now multiply by - )
x>-6
A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs. Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages
Answers
The proportion and percentage is as follows;
[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]
What is the difference between proportions and percentages?A percentage represents a ratio or fraction with a denominator that is always 100 as opposed to a proportion, which asserts the equivalent of two ratios or fractions.
Given
[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & & \\ 5-6 & 50 & & \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]
To estimate the total frequency:
Total = sum f
Total = 29 + 53 + 50 + 22 + 1
Total = 155
The proportion (p) exists calculated by:
[tex]$p = \frac{f}{\text { Total }}[/tex]
The percentage (P) exists calculated by:
P = p × 100 %
For interval 7 - 8, we have:
p = 53 / 155 = 0.34
P = 0.34 × 100 % = 34 %
For interval 5 - 6, we have:
p = 50 / 155 = 0.32
P = 0.32 × 100 % = 32 %
So, the complete table is:
[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]
The complete question is:
A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs.
Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages.
Score Interval f Proportion Percentage
9â10 29 0.19 19%
7â8 53
5â6 50
3â4 22 0.14 14%
1â2 1 0.01 1%
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6x + y = 20
x - 4y = -5
Answers
The value of [tex]x[/tex] is [tex]3[/tex] and [tex]y[/tex] is [tex]2[/tex]
The given equations are
[tex]6x+y=20\\x-4y=-5[/tex]
We need to find the value of [tex]x[/tex] and [tex]y[/tex]
First let's take equation [tex]2[/tex] and we can simplify it
[tex]x-4y=-5\\x=-5+4y[/tex]
Now, let's substitute the value of [tex]x[/tex] in equation [tex]1[/tex], that is
[tex]6x+y=20\\6(-5+4y)+y=20[/tex]
We can open the bracket and simplify
[tex]=-30+24y+y=20\\=-30+25y=20\\=25y=20+30\\=25y=50\\=y=\frac{50}{25} \\y=2[/tex]
Now we can substitute the value of [tex]y[/tex] in equation [tex]x-4y=-5[/tex]
[tex]x-4(2)=-5\\x-8=-5\\x=-5+8\\x=3[/tex]
The complete question is find the value of [tex]x[/tex] and [tex]y[/tex] from the given equations.
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Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene’s car had 6.7 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?
Answers
The domain and scope of the identity function are the same. Equation for the identity function is f(x) = x, or y = x.
What is function?An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.
identity function are the same.
Equation for the identity function is
f(x) = x, or y = x.
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On solving the provided question, we can say that by unitary method Irene spend on gas = $ 33.82
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
by unitary method
Irene must pay back the money she used for gas.
Irene filled up her tank with gas for $33.82.
One gallon of gasoline costs $3.80.
There are 6.1 gallons of the petrol Irene purchased in the tank.
amount required = 15 -6.1 = 8.9 gallons
1 gallon = 3.8 dollars
8.9 gallons = $ 33.82
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Question 6 of 10
Which is the best estimate of the circumference of this circle?
3
OA. 18 units
OB. 42 units
OC. 3 units
O D. 6 units
Answers
The best estimate for the circumference of a circle with 3 units radius is equal to 18 units. The correct option is A.
Given the radius of the circle is equal to 3 units.
The formula for the circumference of the circle is equal to
[tex]C=2*\pi *r[/tex].
By substituting the value of the radius and pi we will get:
[tex]C=2*3.14*3\\C=18.86[/tex].
Therefore the best estimate will be 18 units.
Complete question:
Which is the best estimate of the circumference of this circle?
radius = 3 units.
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Given: AAED ≈ ABEC and
AC BD.
Prove: AABD≈ ABAC.
Note: quadrilateral properties are not permitted in this
proof.
Answers
The solving in the below shows similarity in triangles ΔAED ≈ΔBEC By SSS criteria.
What are the four traits of triangles that are similar?The sizes of similar triangles vary while having the same shape. The comparable angles in identical triangles are equal. The ratio of the corresponding sides of comparable triangles is the same. The ratio of any pair of corresponding sides' squares to any similar triangle's area is the same.
According to given information:Two triangles are comparable if they fall under one of the headings below: Angles in two comparable pairs are equal. Three pairs of corresponding sides make up the ratio. The comparable angles amongst two pairs of adjacent sides are proportional and equal.
Given that ΔAED ≈ΔBEC & AC = BD.
as ΔAED ≈ΔBEC, AD = BC .................(1)
Now in ΔABD and ΔBAC,
AD = BC
(corresponding sides of similar triangles) [from (1)]
AB = AB
(common side)
AC = BD
(given)
∴ ΔABD ≈ΔBAC (By SSS criteria)
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Determine the intercepts of the line. Do not round your answers. y-4=7(x-6)y−4=7(x−6)y, minus, 4, equals, 7, left parenthesis, x, minus, 6, right parenthesis xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Answers
The y-intercept of the line y = 7x -38 is -38. And the x-intercept is 0
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
The equation of the line,
y-4=7(x-6)
Simplify,
y -4 = 7x - 42
y = 7x -38
And slope-intercept form:
y = mx + b,
where m is the slope and y is the intercept.
Comparing with the slope intercept form,
we get,
m = 7 and b = -38
And the x-intercept is 0
Therefore3, y-intercept is -38.
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Colorado State Flag (7. 4. A. 1. 4)
Illustrative Mathematics
1. 4: Colorado State Flag
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?
Answers
The height of the flag is 18 feets.
What is a rectangle?Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.
Length is equal to 2 (2 + 3) the sum of the side lengths.
The sum of side length divided by (12) equals (2/5)
12 = 0.4(sum of side length) (sum of side length)
divide both sides by 0.4.
The height of the flag is calculated as side lengths plus length.
Height of flag: (30 – 12) = 18 feet
Therefore, the height of the flag is 18 feets.
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If f(x)= x² (x≠2), then lim f(x) =4? Can I think of this as ignoring the x≠2 rule?
x→2
Answers
Answer: No, the statement "if f(x)= x² (x≠2), then lim f(x) =4" is not correct. The limit of a function is a value that the function approaches as the input (in this case, x) gets closer and closer to some specific number. In this case, the limit of f(x) as x approaches 2 would be 4, since f(x)=x² for all values of x other than 2. However, if you ignore the x≠2 restriction and consider all values of x, then the limit of f(x) as x approaches 2 would be undefined, since f(x)=4 for x=2.
Step-by-step explanation:
A bag contains 2 snicker bars, 8 trix bars , and 5 crunch bars. A candy is chosen, replaced, then another is chosen, what is the probability of choosing a trix bar then a crunch bar?
Answers
The probability of choosing a trix bar then a crunch bar exists 8/45.
What is Probability?Mathematics' field of probability deals with numerical assessments of how likely an event is to occur.
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.
The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
Probability = Number of favorable outcome / Number of total outcome
Given,
Number of snicker bars = 2
Number of trix bars = 8
Number of crunch bars = 5
Total number of candy bars = 2 + 8 + 5 = 15
8 trix, so picking a trix would be 8/15
5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3
Probability of both: 8/15 x 1/3 = 8/45
Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.
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The probability of choosing a trix bar then a crunch bar exists 8/45.
What is Probability?Probability theory deals with numerical evaluations of the likelihood that an event will occur.
Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.
A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.
Probability = Number of favorable outcome / Number of total outcome
Given,
Number of snicker bars = 2
Number of trix bars = 8
Number of crunch bars = 5
Total number of candy bars = 2 + 8 + 5 = 15
8 trix, so picking a trix would be 8/15
5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3
Probability of both: 8/15 x 1/3 = 8/45
Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.
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please help asap. i need help.
Answers
The slope of the linear equation that passes through the two given points is 1/7.
How to find the slope of the line?A general linear equation can be written in the slope-intercept form as:
y = a*x + b
Where the coefficients are:
a: the slope.
b: the y-intercept.
If a line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is equal to:
a = (y₂ - y₁)/(x₂ - x₁)
In this case, we know that the line passes through (-10, -9) and (-3, -8), then the slope of this linear equation will be:
a = (-8 + 9)/(-3 + 10) = 1/7
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which of the following inequalities orders the numbers 0.1, 0.04, and 1/6 from least to greatest?
Answers
Answer:
0.04 < 0.1 < 1/6
Step-by-step explanation:
please help me out will give brainliest
Answers
Answer:
Step-by-step explanation:
Input the correct values into the point-slope
formula.
y - [?] = [](x - [ ])
A. 3
A line is parallel to y = 3x - 2 and
intersects the point (3, 5).
C. -2
B. 5
D. 1/3
Answers
Answer:
B
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 2 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes
then slope of parallel line is 3
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = 3 and (a, b ) = (3, 5 ) , then
y - 5 = 3(x - 3) ← equation of parallel line in point- slope form
Sara had 222 dollars to spend on 9 books after buying then she had 15 dollars how much did each book cost
Answers
Answer:
each book cost=222-15=207/9=22.88 dollar