What is the inverse function

What Is The Inverse Function

Answers

Answer 1

Answer:

it's simple just divide


Related Questions

Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points. Also suppose that the distribution of IQ's of Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.

Required:
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?

Answers

Answer:

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using 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 measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes 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].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

North Catalina:

Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:

[tex]\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188[/tex]

Chapel Mountain:

Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:

[tex]\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735[/tex]

What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?

We want that: [tex]N - C > 5[/tex]

Distribution N - C:

The mean is:

[tex]\mu = \mu_N - \mu_C = 130 - 120 = 10[/tex]

The standard deviation is:

[tex]s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 5. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{5 - 10}{7.3937}[/tex]

[tex]Z = -0.68[/tex]

[tex]Z = -0.68[/tex] has a pvalue of 0.2483

1 - 0.2483 = 0.7517

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Given the geometric sequence tn with t1=96 and r=−1/4, find t4.

Give your answer as a fraction, if necessary. Do not include "t4=" in your answer. For example, if you found t4=9, you would enter 9.

Answers

Answer:

3/2

Step-by-step explanation:

Given

[tex]t_1 = 96[/tex]

[tex]r = \frac{1}{4}[/tex]

Required

Find t4

The nth term of a geometric sequence is calculated as:

[tex]t_n = t_1 * r^{n-1[/tex]

So:

[tex]t_4 = t_1 * r^{4-1[/tex]

[tex]t_4 = t_1 * r^3[/tex]

This gives:

[tex]t_4 = 96 * \frac{1}{4}^3[/tex]

[tex]t_4 = 96 * \frac{1}{64}[/tex]

Express as a single fraction

[tex]t_4 = \frac{96}{64}[/tex]

[tex]t_4 = \frac{3}{2}[/tex]

Hence, the 4th term is 3/2

How many solutions does the equation 6a − 3a − 6 = −2 + 3 have?

Two
None
One
Infinitely many

Answers

Answer: There is only one solution

6a - 3a - 6 = -2 + 3

3a - 6 = 1

3a = 7

Please help due soon.

Answers

In 3.2 hours because 120 240 360 480 so at 3.2 it would be at 390

is 29.6 = 29.600 true or false???

Answers

Answer:

true

Step-by-step explanation:

this is the decimal helps shorten up 29.600

true
just simplify the two numbers

Find the greatest common factor of 28 and 35

Answers

Answer:

7

Step-by-step explanation:

Factors for 28: 1, 2, 4, 7, 14, and 28

Factors for 35: 1, 5, 7, and 35

There are 20 pieces of fruit in a basket and 12 of them are oranges. What percentage of the pieces of fruit in the basket are oranges? Show your work in the box and circle your answer

Answers

Answer:60 percent

Step-by-step explanation: You have fraction the two numbers which will be 12/20 them you times it by 100 which equals 60 oranges.

Please help me with my hw thank you so much

Answers

Answer: d

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is x+3y=-12

Answers

Answer: 3

Step-by-step explanation:

Find slope of that line which is -1/3x-4

then flip its sign and the equation to get 3

A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the flaps are folded upward to form an open
box. If the volume of the box is 1050 in3, what were the original dimensions of the piece of metal?
What is the original width? in
What is the original length in

Answers

breadth= X

L= x+30

after you cut a square with 6in from the corners, the length becomes x+30-6 =x+24 and breadth becomes x-6.

The eqn for volume of box is Length x Breadth x height

it's given that LxBxH = 1050

here height is 6, because u are folding the edge where it's been cut off and that side becomes the height.

rewrite with the given information we get

(x+24)*(x-6)*6 = 1050

divide both sides with 6

(x+25)*(x-6) = 175

distribute the brackets we get,

x^2 -18x -144 =175

x^2 -18x-319 = 0

solve for x using quadratic formula.

we get x= 29, -11

since length cannot be negative x= 29

B= 29, L=59.

a shark is located 45 feet directly below a swimmer on the surface of the water. the angle of depression from a boat nearby to the shark is 64 degrees. how far is the swimmer from the boat​

Answers

Using the slope concept, it is found that the swimmer is 21.95 feet from the boat.

What is a slope?The slope is given by the vertical change divided by the horizontal change.It's also the tangent of the angle of depression.

In this problem:

A shark is located 45 feet directly below a swimmer on the surface of the water, hence the vertical change is 45.The distance d is the horizontal change, which we want to find.The angle is of 64º.

Hence:

[tex]\tan{64^{\circ}} = \frac{45}{d}[/tex]

[tex]d = \frac{45}{\tan{64^{\circ}}}[/tex]

[tex]d = 21.95[/tex]

The swimmer is 21.95 feet from the boat.

You can learn more about the slope concept at https://brainly.com/question/26342863


Bryce grew
33 inches each year for the past 4 years. How many inches total has Bryce grown in the
past 4 years ?

Answers

Answer:

132 inches

Step-by-step explanation:

33 x 4 = 132 inches

Which equation describes the line with the slope 2/3 that passes through the given point on the graph?

Answers

Answer: y=2/3x-2

Step-by-step explanation:

Slope intercept form is: y=mx+b

m=slope

b= y-intercept

slope is 2/3

Whichever answer is correct will get brainliest!
Find the value of x. Round to the nearest tenth. 35 12. х x = [?] Enter​

Answers

Answer:

Round to the nearest tenth. 35 12. х x = [?] Enter​

Step-by-step explanation:

kaylee Bryant purchased taz software that regularly sells for 74.95 but is on sale for 59.95​

Answers

Answer:

well that is 15$$ off

Step-by-step explanation:

Four teams will receive prize money based on their ticket sales. The total prize amount to be apportioned is $63. Determine the standard divisor based on the ticket sales. The ticket sales are: Applejacks: 66 tickets sold Broncos: 769 tickets sold Colts: 652 tickets sold Deers: 556 tickets sold Calculate the standard divisor to two decimal places.

Answers

Answer:

32.43

Step-by-step explanation:

To get the standard divisor

We sum up the tickets sold

Applejack's = 66 tickets

Broncos = 769 tickets

Colts = 652 tickets

Deers = 556 tickets

The total prize amount = $63

Total tickets = 66 + 769 + 652 + 556 = 2043

Standard divisor = 2043/63

= 32.43

The standard divisor to two decimal places is 32.43

Helping to give out points!! Whoever solves the math riddle correctly with a brief explanation will get brainliest and a thanks (the other answers will just get a thanks).

Riddle: I have a big family. I am 16 years old. My sister Reina is 22 years old. The twins are 14 years old. Susana is 10 years old and my brother Robert is 7 years old. If the total number of our ages added together is 100, how old is Albert?

Answers

Answer:

Robbert is 7

Step-by-step explanation:

because you already said it

Albert is 17!
(extra text for character minimum)

Use the Distributive Property to
REWRITE 2/3(x - 9)

Answers

Answer:

2/3x-6

Step-by-step explanation:

Which of the equations below could be the equation of this parabola?
(0,0)
Vertex
A. y = 1/4x²
B. x = 1/4y²
C. y = -1/4x²
D. x= -1/4y²

Answers

Answer:

B. x = 1/4y²

Step-by-step explanation:

The equation of a parabola is x = 1/4y². Therefore, option B is the correct answer.

What is the parabola?

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

From the graph,

x-intercept(s): (0,0)

y-intercept(s): (0,0)

Vertex is (0, 0)

Directrix, x=-1

Here, the axis of symmetry is y=0

So, the equation is x = 1/4y²

Therefore, option B is the correct answer.

To learn more about the parabola visit:

https://brainly.com/question/21685473.

#SPJ7

Helpp with math!!!!!!!!

Answers

I think the area is 63. Sorry if it is incorrect.

Ella ran 6 times around her school building. Then she ran 4 miles home.


Her phone told her that she ran 7 miles total.


Select an equation that represents this situation

A. 6+4x=7 B. 6x+4=7 C. 6 (x+4) =7


Determine the value of x.

Answers

Answer:

B.6x+4=7

Step-by-step explanation:

x represents how many miles is around her school building which she did 6 times, 4 miles is for the amount she ran home and 7 miles is the combination of the 6 times the miles around her school, 6x and the miles she ran home 4

making the equation 6x+4=7

B. 6x+4=7
6(.5)+4=7
3+4=7

help? :’) on math:

Which equation would you use to solve the following situation?

If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team?

1. 6 p = 42
2. 7 p = 42
3. 6 + p = 42
or 4. 42 - p = 6

what number ??

Answers

Answer:

yeppy the answer should be 1. 6p=42 :)

divide 4 questions ​

Answers

Answer:

huh

Step-by-step explanation:

Can someone help me

Answers

The graphs make it appear that cool car’s prices are much greater is the correct answer

Answer:

sorry sorry sorry

Step-by-step explanation:

I don't know

Please help me! I need help finding this slope.

Answers

Answer:

4/-9

Step-by-step explanation:

This Question: 1 pt
17 of 29
Emma has $160 cash to spend at a music store. How much can she spend on items if there is a 7% sales tax?
Emma can spend on items.
(Round to the nearest cent as needed.)

Answers

Answer:

i would say $148.80

Step-by-step explanation:

tax would amount to 11.20 so when you subyract that from the total then the rest is what she can spend.

What percent 39 is 26

Answers

Answer: 66.67

Step-by-step explanation:

The answer for this problem is 66.67

Find the next number in the pattern.
4, 6, 11, 19, 30, ______

Answers

Answer: 44

Step-by-step explanation:

Can someone please help me with these 2 problems

Answers

Answer:

uhururfjfhfufjfjfjfjfjfif

Answer:

I believe the first one is 250

the second one I haven't got a clue

The Hiking Club is taking another trip. The hike leader's watch shows that they gained 296 feet in altitude from their starting position.
Their altitude is now 285 feet, but there is no record of their starting altitude.
Write and solve an equation to represent this situation and find their starting altitude.

Answers

Answer: altitude at starting point is -11ft or 11ft below sea level
Step-by-step explanation:
Equation for this situation will be
A = Ag - 11
A = actual altitude
Ag = altitude gained.
At starting point, altitude gained is zero, therefore;
A = 0 - 11
A = -11ft

Answer:

Step-by-step explanation:

The required equation is x+295=285 , where x= starting altitude( in feet).

The starting altitude is -11 feet.

Let x be the starting altitude( in feet) .

Given: The Hiking Club is taking another trip. The hike leader's watch shows that they gained 296 feet in altitude from their starting position.

Then, the altitude is now = x+ 296

Since their altitude is now 285 feet.

So the required equation is x+296=285

Subtract 296 from both sides, we get

x= -11

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