Select the correct answer.
Which graph shows a function and its inverse?
A. The first graph
B. The second graph
C. The third graph
D. The last graph

Answer:

Step-by-step explanation:

The linear line interacts with the y-axis at 0. Meaning that the y-int is 0. This represents that the original amount of gasoline was 0.

SOLUTION

From the question

Cross multiplying you have that

Hence, the answer is 70

The equivalent expression in the form of statement will be -

"negative 5 over 8 times g plus negative 19".

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the following statement - "3 over 4 times g minus 6 minus 7 over 8 times g minus the expression one over 2 times g plus 13"

We can write the statement in the form of a equation as -

(3g/4 - 6) - (7g/8) - (g/2 + 13)

3g/4 - 6 - 7g/8 - g/2 - 13

(3g/4 - 7g/8 - g/2) - (6 + 13)

On solving, we get -

- 5g/8 - 19

Therefore, the equivalent expression in the form of statement will be -

"negative 5 over 8 times g plus negative 19".

To solve more questions on equation modelling, visit the link below-

https://brainly.com/question/28854088

#SPJ1

x is each friend

3x + 28 > 200

3x > 172

x > $57.33

if right can a i get brainliest pls

Answer:

Step-by-step explanation: $200-$28= $172

                                                $172÷3=$57.33

Answer:x=    1/4=0.250

Step-by-step explanation:

Answer:

Explanation:

Here, we want to get the right triangles

Mathematically, for us to have a right triangle, the square of the hypotenuse (which is the longest side) equals the sum of the squares of the two other sides. This is Pythagoras' theorem

We shall be testing this principle out on the given options

We proceed as follows:

What this means is that only options A and B is correct

a) The expected value is 75, the standard deviation is 3 and the shape is approximately normal.

b) 0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.

c) 0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68.

d) 0.8907 = 89.07% probability that the average aptitude test in the sample will be less than 78.69.

e) The value of C = 81.51.

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]$\mu$[/tex] and standard deviation [tex]$\sigma$[/tex], the z-score of a measure X is given by:

[tex]$Z=\frac{X-\mu}{\sigma}$[/tex]

The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]$\mu$[/tex] and standard deviation [tex]$\sigma$[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]$\mu$[/tex] and standard deviation [tex]$s=\frac{\sigma}{\sqrt{n}}$[/tex].

The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15.

This means that [tex]$\mu=75, \sigma=15$[/tex]

a. By the Central Limit Theorem, it will be approximately normal, with expected value [tex]$\mu=75$[/tex] and standard deviation [tex]$s=\frac{15}{\sqrt{25}}=3$[/tex]

b. The p-value of Z when X = 82.14 subtracted by the p-value of Z when X = 70.14.

X = 82.14

[tex]$Z=\frac{X-\mu}{\sigma}$[/tex]

By the Central Limit Theorem

[tex]$Z=\frac{X-\mu}{s}$[/tex]

[tex]$Z=\frac{82.14-75}{3}$[/tex]

Z = 2.38

Z = 2.38 has a p-value of 0.9913.

[tex]$Z=\frac{X-\mu}{s}$[/tex]

substitute the values in the above equation, we get

[tex]$Z=\frac{70.14-75}{3}$[/tex]

Z = -1.62 has a p-value of 0.0526

0.9913 - 0.0526 = 0.9387

0.9387 = 93.87% probability that the average aptitude test in the sample will be between 70.14 and 82.14.

c. This is 1 subtracted by the p-value of Z when X=82.68.

[tex]$Z=\frac{X-\mu}{s}[/tex]

substitute the values in the above equation, we get

[tex]$&Z=\frac{82.68-75}{3} \\[/tex]

Z = 2.56 has a p-value of 0.9948.

1 - 0.9948 = 0.0052

0.0052 = 0.52% probability that the average aptitude test in the sample will be greater than 82.68

d. This is the p-value of Z when X=78.69. So

[tex]$&Z=\frac{X-\mu}{s} \\[/tex]

substitute the values in the above equation, we get

[tex]$&Z=\frac{78.69-75}{3} \\[/tex]

Z = 1.23 has a p-value of 0.8907

0.8907 = 89.07 % probability that the average aptitude test in the sample will be less than 78.69.

e. Find a value, C, such that P((x>C) = 0.015.

This is X when Z has a p-value of 1 - 0.015 = 0.985.

So X when Z = 2.17.

[tex]$Z=\frac{X-\mu}{s}$[/tex]

substitute the values in the above equation, we get

[tex]$2.17=\frac{X-75}{3}$[/tex]

X - 75 = 3 × 2.17

X = 81.51

Therefore, the value of C = 81.51

The complete question is:

MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.

a. What are the expected value, the standard deviation, and the shape of the sampling distribution of?

b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?

c. What is the probability that the average aptitude test in the sample will be greater than 82.68?

d. What is the probability that the average aptitude test in the sample will be less than 78.69?

e. Find a value, C, such that P(( x>C) = .015.

To learn more about Normal probability distribution refer to:

https://brainly.com/question/6476990

#SPJ4

Step-by-step explanation:

The sum of measure of supplementary angles = 180°

The measure of angle 1 is given as 10x + 5 and the measure of angle 2 is given as 6x - 1

10x + 5 + 6x - 1 = 180 add like terms

16x + 4 = 180 subtract 4 from both sides

16x = 176 divide both sides by 16

x = 11

To find the measure of each angle, relace x with 11

angle 1,

10*11 + 5 = 115

angle 2,

6*11 - 1 = 65

Step-by-step explanation:

Hope it helps you ..

MATHEMATICS IS OUR OWN LANGUAGE,LETS TALK TOGETHER

(a) The probability that the next page you read contain zero is 0.8187.

(b) The probability that the next page you read contains  or more typographical errors is 0.0175.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes

The probability that the next page you read contains zero. The expected number of typographical errors on a page of a certain magazine is  

That is, y = 0.2

Let  is a random variable representing the number of typos per page.

Since, we have a large number of letters per page, and the number of errors in one page will be small, we use Poisson distribution. The probability function of the Poisson distribution is defined as,

[tex]P(x = i) = e^-^y\frac{y^i}{i!},..... i = 0, 1, 2, ...[/tex]          ...(1)

Here, y is a parameter.

Find the probability that the next page you read contains zero.

That is, find P(y = 0)

plug y = 0 in equation (1), we get

P(x = 0) = 0.8187

The probability that the next page you read contain zero is 0.8187

Given the question that the probability that the next page you read contains  more typographical errors. The expected number of typographical errors on a page of a certain magazine is 0.2

That is y = 0.2

Let is a random variable representing the number of typos per page.

Find the probability that the next page you read contains more typographical errors.

That is find P(x ≥ 2)

P(x ≥ 2) = 1 - P(x ≤ 1)

= 1 - (P(x = 0) + P(x = 1))

= 1 - 0.982477

= 0.0175

The probability that the next page you read contains  or more typographical errors is 0.0175.

To know more about the probability, click on the link

https://brainly.com/question/24756209

#SPJ4

Answer:

6.39 and 100.8

Step-by-step explanation:

To find a certain percent of a number, convert the percent to a decimal and multiply them together

0.09 * 71 = 6.39

1.26 * 80 = 100.8

SOLUTION

We want to find which of the following values make the inequality

x ≤ 16.3 to be true.

This inequality means that x is equal to 16.3 or less than 16.3. So the numbers that fall under this are numbers smaller than 16.3 and also 16.3.

The numbers that fall under here are 8, 1/4, -3 and 16.3

Hence the answer b, c, e and f

Answer:

the answer is 26

Step-by-step explanation:

j+2h

(2) + 2(12)

2 + 24

26

In order to break down this product, we need to apply the distributive property of the multiplication.

So we need to find the product of each term inside a binomial by each term in the other binomial.

That is, first we find x times x and x times 3, then we find 4 times x and 4 times 3, finally we add them all:

So the final expression is x2 + 7x + 12.

If car has 1/x part in cleaning the house in 1 hour 1/x-5 must be part of Jose if he also clean the house for 1 hr.

The scientific definition of work is different in many ways from its everyday meaning. The definition of work in physics reveals its relationship to energy – whenever work is done, energy is transferred.

For a work to be done, in a scientific sense, a force must be exerted, and there must be displacement in the direction of the force. With this said, we can say that Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

Mathematically, the above statement is expressed as follows:

W = (F cos θ) d = F. d

To learn more about work, refer;

https://brainly.com/question/18094932

#SPJ13

The value of the function c(75) for  c(p) = 0.15p is c(75) = $11.25

From the question, the function definition is given as

c(p) = 0.15p

The above function is a linear function

This is so because it is represented as  y = mx where m is the slope

The function value to calculate is given as

c(75)

This means that we calculate c(p) when p = 75

So, we have

c(75) = 0.15(75)

This gives

c(75) = 0.15 x (75)

Evaluate the product

c(75) = 11.25

Hence, the function value is c(75) = 11.25

Read more about functions at

https://brainly.com/question/28532394

#SPJ1

Answer:

Step-by-step explanation:

    2

3x + y =-12x

Answer:

Step-by-step explanation:

y= 2

45−6x

2−3 y=

2− 45−6x

2 −3 , ∣x∣≤ 2

30

​

​

Hello!

So, we are given the following to solve.

Solve for v.

[tex]\frac{v}{8}-3.1=-15.9[/tex]

To solve for v, we to do as follows:

1. Add 3.1 to both sides.

2. Simplify.

3. Multiply both sides by 8.

4. Simplify.

Hope this helps!

Answer:

5% of 40 = 20

Step-by-step explanation:

To find 5% of 40, you can turn the 5% to 0.5, and the "of" means multiplication.

So, in turn you would have:

0.5 x 40 = 20

corresponding (option D)

Since the lines are parallel and a tranversal line cuts the two lines:

The angle 2 at the top of the first line correspods to angle 6 at the top of the second line.

Angle 2 and angle 6 are equal.

Hence. we say angle 2 and angle 6 are corresponding angles (option D)

Step 1: Distributive property:

Step 2: Subtraction Property of Equality

Step 3: Simplifying

Step 4: Division property of equality

Step 5: Simplifying

Given the expression

9(u + 2) = -45

Step 1: Expand using the Distributive property:

9u + 9(2) = -45

9u + 18 = -45

Step 2: Subtract 18 from both sides (Subtraction property of equality)

9u + 18 - 18 = -45 - 18

Step 3: Simplifying

9u = -63

Step 4: Divide both sides by 9 (Division property of equality)

9u/9 = -63/9

Step 5: Simplifying

u = -7

Answer:

Angle YVX = 59°

Angle Y = 85°

x = 3

Step-by-step explanation:

You got the first two correct.

The last bit, use the fact that the shape is a parallelogram, the opposite sides are equal.

2x = 6

x = 3

letter A = C

letter B = B

Letter C= B

Answer:

(a) Figure C

(b) Figures B and C

(c) Figures B and C

Step-by-step explanation:

Figure A does not apply to any of the 3 questions

Hope this helps

Answer:

-152

Step-by-step explanation:

1. Parenthesis

2. Exponents

3. Multiplication/Division (left to right)

4. Addition/Subtraction (left to right)

Always look left to right.

The first thing is 9x24=216 (3. multiply)

10-216/8x6

Then 216/8=27 (3. divide)

10-27*6

Then 27*6=162 (3. multiply)

10-162

Then finally 10-162=-152 (4. subtract)

The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.

We have,

To solve the expression using the order of operations (PEMDAS/BODMAS), follow these steps:

Perform multiplication and division from left to right:

10 - 9 x 24/8 x 6 can be rewritten as 10 - (9 x 24) / (8 x 6).

Perform the multiplication inside the parentheses:

10 - (9 x 24) / (8 x 6)

10 - 216 / (8 x 6).

Perform the multiplication in the denominators:

10 - 216 / (8 x 6)

10 - 216 / 48

Perform the division:

10 - 216 / 48

10 - 4.5

Perform the subtraction:

10 - 4.5

5.5

Therefore,

The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

The time take for the journey can be calculated by dividing the total distance by the distance travelled in an hour.

Which is 2171 (Total distance) / 520 (Distance travelled in a hour)

[tex]2171/520 = 4.175[/tex]

Which can be rounded of to 4.2

It takes 4.2 hours for the flight between Los Angeles and Toronto

We get that the expected temperature is

Answer: D

Step-by-step explanation:

as when 3746 is rounded to the nearest hundred t is 4000

whereas when 3746 is rounded to the nearest ten it is 3800.

4000 is larger than 3800 so the answer is D.