Please help me compute standard deviation! Here is the problem, as written.
what is the income distribution of super shoppers. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoint are given to the nearest thousand dollars. Income range: 5-15, 15-25, 25-35, 35-45, 45-55, 55 or more. Next line is Midpoint x: 10, 20, 30, 40, 50, 60. Last line is percent of super shoppers: 21%, 14%, 22%, 15%, 20%, 8%. Part (d): Compute the standard deviation for the income of super shopers

Answers

Answer 1

Answer:

The standard deviation for the income of super shoppers is 76.12.

Step-by-step explanation:

The formula to compute the standard deviation for the grouped data probability distribution is:

\(\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}\)

Here,

x = midpoints

\(\mu=\sum x\cdot P(x)\)

Consider the Excel table attached below.

The mean is:

\(\mu=\sum x\cdot P(x)=32.3\)

Compute the standard deviation as follows:

\(\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}\)

   \(=\sqrt{259.71}\\\\=76.1155204\\\\\approx 76.12\)

Thus, the standard deviation for the income of super shoppers is 76.12.

Please Help Me Compute Standard Deviation! Here Is The Problem, As Written.what Is The Income Distribution

Related Questions

i will give Brainiest if you are right

i will give Brainiest if you are right

Answers

Answer:

19.5º

Step-by-step explanation:

Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.

33.5 + 127= 160.5

180- 160.5 = 19.5

So, the angle F is 19.5º

Hope this helps !!

-Ketifa

Answer:

look at the picture I sent

i will give Brainiest if you are right

Which statement describes what these four powers have in common?

Answers

Answer:rrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

yhrrrrrrrrrrrrrrrrrrrrrrrrrr

How to calculate Standard Error of the Y intercept and standard error of the slope, given the table below, without the SE coefficient given.

How to calculate Standard Error of the Y intercept and standard error of the slope, given the table below,

Answers

Answer:

Step-by-step explanation:

the stabdard error is given with the se coefficient snf the y slope

Can someone please help, ty!!

Can someone please help, ty!!

Answers

the answer would be -2 :)

Let B be a 2 ×2 matrix such that
7B^2 −5B + 3I = 0.
Is B invertible? It so, what are the eigenvalues of B−1? Justify your answer.

Answers

Yes, Matrix B is invertible.

And, The eigenvalues of B−1 are;

⇒ (5 ± 7.68) / 14 - 1

What is mean by Matrix invertibility?

An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.

Given that;

B be a 2 ×2 matrix such that;

⇒ 7B² −5B + 3I = 0

Now,

Since, B be a 2 ×2 matrix.

And, The expression is,

⇒ 7B² −5B + 3I = 0

⇒ B² −5/7B + 3I/7 = 0

Multiply by B⁻¹, we get;

⇒ B - 5/7 + 3B⁻¹ = 0

Solve for B⁻¹;

⇒ 3B⁻¹ = - B + 5/7

⇒ B⁻¹ = - B/3 + 5/21

Thus, The matrix B is invertible.

And, The eigen value of B are;

⇒ 7B² −5B + 3I = 0

⇒ 7B² −5B + 3I = 0

⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7

⇒ B = 5 ± √25 - 84/14

⇒ B = 5 ± √- 59 / 14

⇒ B = 5 ± 7.68 i / 14

⇒ B - 1 = (5 ± 7.68) / 14 - 1

Thus, Matrix B is invertible.

The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1

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Need a answer someone helps me

Need a answer someone helps me

Answers

Answer: 3x - 2 + 7x - 6 + x, 46°, 118°, 16° in that order

Step-by-step explanation:

We know that the sum of the angles in a triangle is 180° so we can write the equation

(3x - 2) + (7x + 6) + x = 180

3x + 7x + x - 2 + 6 = 180

11x + 4 = 180

11x + 4 - 4 = 180 - 4

11x = 176

x = 176 ÷ 11 = 16 meaning that angle N = x = 16°

From here we can work out angle L = 3x - 2 = 3 × 16 - 2 = 48 - 2 = 46°

And angle M = 7x + 6 = 7 × 16 + 6 = 118°

I don't have enough time to do this because I have plans​

I don't have enough time to do this because I have plans

Answers

326 divided by 0.24 to the nearest hundredth is 1358.33

How to  divide 326 by 0.24

To divide 326 by 0.24 and round the result to the nearest hundredth, we can perform the following calculation:

326 ÷ 0.24 = 1358.3333

Rounding to the nearest hundredth means we need to look at the third decimal place.

So 326 divided by 0.24 to the nearest hundredth is 1358.33.

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You roll a fair 6-sided die.
You might need:
What is P(not 5)?
If necessary, round your answer to 2 decimal places.

Answers

Answer:Step-by-step explanation:

the dice has one five, so the answer is 5/6

Step-by-step explanation:

Answer:

the answer is 5/6

Step-by-step explanation:

its the right answer

what percent of the population has an IQ score between 115 and 130?

what percent of the population has an IQ score between 115 and 130?

Answers

Answer:

68% of the individuals in the population have an IQ between 85 and 115.  95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.

Step-by-step explanation:

Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?

Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?

Answers

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

What is a reflection over the y-axis?

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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7 to the power of -3

Answers

Answer:

one over 343 hope this helps

Step-by-step explanation:

3•f(-4)-3•g(-2)=?
Help please

Answers

Answer:

-27

Step-by-step explanation:

Whats the ratio of 40 to 30 I need help

Answers

Answer:

Answer: 75%

Step-by-step explanation:

I’m confused, how do I create a dot-plot with only one number in the tens?

Im confused, how do I create a dot-plot with only one number in the tens?

Answers

The dot represents the data point of 5, and there are no other data points to include on the dot plot.

You can still make a dot plot even if you just have one number in the tens by placing a dot on a number line above the number. If your data point is 5, for instance, you can represent it by placing a dot above the tick mark for 5 on a number line that has tick marks for each integer from 0 to 9. Here is an illustration of how the dot plot might appear:

  |      

5  •      

  |      

  |      

  |      

  |      

  |      

  |      

  |      

  |      

  +   -   -    -   -   -   -   -

  0  1   2   3  4  5  6  7

 

There are no additional data points to place on the dot plot because the dot in this illustration represents the data point of 5.

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What number must be multiplied on both sides in order to isolate x on the left side of the equation?
2
²x=5
Do not actually solve the equation.
...

Answers

No number needs to be multiplied on both sides of the equation to isolate x, we can instead take the square root of both sides and then divide by 2.

How to isolate x

To isolate x on the left side of the equation, we need to get rid of the exponent 2.

To do this, take the square root of both sides of the equation

√(2²x) = √5

2x = √5²

2x = 5

divide both sides by 2:

2x/2 = 5/2

x = 5/2

Thus, no number needs to be multiplied on both sides of the equation to isolate x, we can instead take the square root of both sides and then divide by 2.

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Jacqueline took out a personal line of credit in her senior year of college with an annual simple interest rate of 4%.she takes 51 months to pay off the loan in full and pays 1530 in interest. A. How much was the original line of credit amount.B. How much did Jacqueline pay in total.

Answers

Given data:

The given annual interest is r=4%.

The given time is t=51 months= 4 year+3 months=4.25 years.

The interest ammount is i=1530.

A)

The expression for the simple innterest is,

i=(Prt)/100

Substitute the given values in the above expression.

1530=P(4)(4.25)/100

P=9000.

Thus, the original amount credit is 9000.

B)

The expression for the total amount is,

A=P+i

Substitute the above calculated values.

A=9000+1530

=10530

Thus, the total amount is 10530.

Which triangle is ​△ABC​ similar to and why?

Answers

Answer:

can we get a picture

Step-by-step explanation:

5
10
Joe borrowed $7,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay
in 3 years?
In 3 years, Joe pays $
in interest.

510Joe borrowed $7,000 from the bank at a rate of 7% simple interest per year. How much interest did

Answers

Answer:

f h f

Step-by-step explanation:

jikdmj n

Hi! You would firstly find 7% of $7000
7%=7000/100x7=490
$490 per year.

In 3 years: 490x3=1470

Total=$7000+$1470=$8470

I hope this helped!

Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of revoltuion (found using the shell method) is given by the integral.

π
2π∫ xsinx dx
0

Answers

Answer:

See attached picture.

Step-by-step explanation:

The idea of the shell method is to find the volume of a differential shell by using the formula:

\(V=2\pi\int\limits^a_b {rh} \, dr\)

in the drawing we can see that r=x, h=sin x and dr=dx. The area is revolving about the y-axis from x=0 to \(x=\pi\). So the volume is found by using the following integral:

\(V=2\pi\int\limits^\pi_0 {xsin x} \, dx \)

Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of

Please simplify 6p-2q+4r-2p+3s+5q

Answers

Answer:

\(6p - 2q + 4r - 2p + 3s + 5q\)

group the like terms together:

\( = (6p - 2p) + ( - 2q + 5q) + 4r + 3s\)

simplify:

\( = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}\)

Put the following equation of a line into slope-intercept form, simplifying all fractions.
2x-12y=12

Answers

Answer:

\(y=\frac{1}{6}x-1\)

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope of the line and b is the y-intercept.

For this problem, the equation can be manipulated into the desired form:

\(2x-12y=12\\2(x-6y)=12\\\frac{2(x-6y)}{2}=\frac{12}{2}\\x-6y=6\\(x-6y)+6y=(6)+6y\\x=6+6y\\x=6(1+y)\\(\frac{1}{6})x=\frac{6(1+y)}{6}\\\frac{1}{6}x=1+y\\(\frac{1}{6}x)-1=(1+y)-1\\y=\frac{1}{6}x-1\)

Q2) What are the rules for probability distributions ? I​

Answers

Answer:

Probability Distributions

A listing of all the values the random variable can assume with their corresponding probabilities make a probability distribution.

A note about random variables. A random variable does not mean that the values can be anything (a random number). Random variables have a well defined set of outcomes and well defined probabilities for the occurrence of each outcome. The random refers to the fact that the outcomes happen by chance -- that is, you don't know which outcome will occur next.

Complete the algebra tile grid to model the product of (x + 2)(x – 3).

Answers

Answer: x^2 -x-6

Step-by-step explanation:

Mat

The product of  (x + 2)(x - 3) is x² - x - 6

What is algebraic expression?

"It is a mathematical statement which consists of constants, variables and mathematical operations."

For given question,

We have been given an algebraic expression (x + 2)(x - 3)

We need to find the product of (x + 2)(x - 3).

(x + 2)(x - 3)

= x (x - 3) + 2(x - 3)

= x² - 3x + 2x - 6

= x² - x - 6

Therefore, the product of  (x + 2)(x - 3) is x² - x - 6

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N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?​

Answers

Heracio used the computer 4 more hours to do homework than shop online.

How to solve the proportion

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

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Please answer the question in the photo :)

Please answer the question in the photo :)

Answers

Answer:

it is correct I think it's right

Step-by-step explanation:

Which congruency statement is correct based on the diagram?

O ¤PQN = ¤TSR
Ο ¤PQN = ¤STR
O ¤NQP = ¤STR
O ¤NQP = ¤RST ​

Which congruency statement is correct based on the diagram? O PQN = TSR PQN = STR O NQP = STR O NQP =

Answers

Answer:

pqn = str

it is option B

hope it helps

Solve the equation. Please help

Solve the equation. Please help

Answers

\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

So, to solve the equation we want to isolate y or in other words, have y (alone) on one side so that we can find out what y should have as a value.

Step 1: Add 3/4 on both sides
We get
2y/3 = 1/12+3/4
We add fractions by calculating a common denominator, adjusting the numerators accordingly and adding them. See this in action below:
12 and 4 have a common multiple in 12 which will be our common denominator. Now, 1/12 does not need to be adjusted, but 3/4 becomes 3*3 / 3*4 = 9/12.
In total 1/12 + 9/12 = 10/12

So, we have 2y/3 = 10/12

Now we multiply both sides by 3, so that the 3 will cancel out the 3 in the denominator on the left side:
2y =30/12

Now we just need to divide by 2 and get the solution:
y = 15/12 = 3*5 / 3*4 = 5/4

Therefore the final answer is A:
The solution set is {5/4}

PLZ HELP ITS DUE IN 28 MINUTES

PLZ HELP ITS DUE IN 28 MINUTES

Answers

Answer:

I think y and z = 45

in a certain school there are 180 pupils in the year7,110 pupils study french,88 study German , and 65 indonesian.40 pupils study both french and German,38study German and Indonesian,and 26 study both french and Indonesian,while 19 study German only.find the number of pupils who study
a)All three languages
b) Indonesian only
c)none of the languages
d)at least one language
e) either one or two of the three languages​

Answers

Answer:

(a) All three languages  - 9

(b) Indonesian only  - 10

(c) none of the languages - 12

(d) At least one language  - 168

(e) Either one or two of the three languages - 159​

Step-by-step explanation:

The question require the knowledge of Set theory and its Formulas.

Total pupils = 180

French (Let F) = 110  

German (Let G) = 88

Indonesian (Let I) =  65

French and German (F intersection G) =  40

German and Indonesian (G intersection I) =  38

French and Indonesian (F intersection I)  = 26

German only  = 19

(a) All three languages

We are given only German speaking people are 19

Only German = n(G) - n( F intersection G) - n(G intersection I) + n(F intersection G intersection I)

 19 = 88 - 40-38 + n(G intersection I) + n(F intersection G intersection I)

n(G intersection I) + n(F intersection G intersection I) = 9

n(G intersection I) + n(F intersection G intersection I) represents the number of pupils speaking who study all the three languages.

(b)Indonesian only

   n( I) - n(G intersection I) + n(F intersection I) + n(G intersection I) + n(F intersection G intersection I)

65 - 38 - 26 + 9 = 10

So 10 pupils speak Indonesian only

(c)none of the languages

It will be equal to Total - pupils speaking any of the three languages

Any of the three languages = (F union G union I)

  = n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)

    +  n(F intersection G intersection I)

n(G intersection I)

  = 110 + 88 + 65 -40 -38-26 + 9

  = 263 - 95

   = 168

So 168 pupils speak any of the three languages

None speakers = 180 - 168 = 12 pupils

So 12 pupils do not speak any of the three languages.

(d)at least one language

At least one language has the meaning that the person can either speak one two or all three languages, so it will be same as we proceeded above

Any of the three languages = (F union G union I)

  = n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)

    +  n(F intersection G intersection I)

n(G intersection I)

  = 110 + 88 + 65 -40 -38-26 + 9

  = 263 - 95

   = 168

(e) either one or two of the three languages​

Pupils can speak one or two language but not all the three so will subtract all the three language speaker from the total.

  Total speaker = 168

 All three languages speaker  = 9

 Either one or two of the three languages​ speaker = 168 - 9 = 159

Sheila counted 9 blue jays and 21 sparrows at the bird feeder. What was the ratio of blue jays to sparrows?

Answers

Answer:

9/21

= 1/7

Step-by-step explanation:

ratio means the comparison of two things

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