Sunshine City was designed to attract retired people. Its current population of 75,000 residents has a mean age of 63 years and a standard deviation of 17 years. The distribution of ages is skewed to the left. A random sample of 250 residents of the city had a mean of 61.4 and a standard deviation of 19. Show work for any necessary calculations. (6 pts) a) Identify the variable of interest. b) Describe the center and spread of the population of Sunshine City. c) Describe the center and spread of the random sample of Sunshine City residents taken. What shape does it probably have

Answers

Answer 1

Answer:

a) Identify the variable of interest.

Ages of the residents

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

Step-by-step explanation:

a) Identify the variable of interest.

Ages of the residents

The center of a distribution tells us about the Mean or Median of the distribution

The spread of a distribution tells us about the standard deviation of the population

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = Mean of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = Standard Deviation of the population = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

This is because the mean is farther out to the left side of the tail of the distribution.


Related Questions

V = 5x + 2y
X = 3
y = -4
a) Work out the value of V.

Answers

V= 5(3)+2(-4)
V= 15-8
V=7

Picture attached below. Please help.

Answers

There isnt a picturee but when you add another question I will hep you the best I can :)

What’s the picture? You didn’t put one I wish to Help ya.

please help me with functions​

Answers

Answer:

1.) Domain: [-2, 1] Range: [1, 2] 2.) Domain: [-1, 2] Range: [-2, 2]

Step-by-step explanation:

Two points that are on the same line are called what?


A
coplanar
B
collinear
C
supplementary
D
parallel

Answers

Answer:

That would be B Collinear

Answer:

B: Collinear

Step-by-step explanation:

Let's look at the answer choices, shall we?

-Coplanar is two lines or points on the same plane.

-Supplementary is where two angles measure to 180 degrees

- Parallel lines are where two lines have the same slope and will never intersect

The only other option is collinear, which happens to have the definition of two points on the same line.

You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $9 for heads and $21 for tails. Your mother says she wants you to roll a six-sided die. She will give you $5 times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.

Answers

$30 for the flip a coin game.
$105 for the dice game.
- > heads = $9
-> tails = $21
^ $9+$21=$30

dice game-
6 sides of a dice, she doubles it by 5.
1*5 + 2*5 + 3*5 + 4*5 + 5*5 + 6*5
^ 5+10+15+20+25+30= 105.
-> $105 for dice game.

you can easily get $9/$21 from your sister, but it won’t be as much from the dice, but you have more risk going with the dice since there’s 6 sides. the highest to get from your mother is $30 and the highest from your sister is $21, but the dice is the better deal.

The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value of X is:

[tex]E(X) = np\\[/tex]

You need to borrow money for gas, so you ask your mother and your sister.

You can only borrow money from one of them.

Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin.

She will give you $9 for heads and $21 for tails.

Your mother says she wants you to roll a six-sided die.

She will give you $5 times the number that appears on the die.

The expected value for a coin will be

[tex]E(X) = 1 \times 0.5 = 0.5[/tex]

The expected value for a dice will be

[tex]E(X) = 1 \times \dfrac{1}{6} = 0.1667[/tex]

You can easily receive $9/$21 from your sister, but it won't be as much as the dice, and you'll take a bigger risk with the dice because it has six sides.

The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.

Learn more about binomial distribution here:

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What are the coordinates of the y-intercept of the function y=|6x-5|-4

Answers

Answer: (0,1)

Step-by-step explanation:

Hope this helps

The retail price of a smartphone is $600. You purchase the phone by making 24 equal monthly payments. How much is the amount of each payment.

Answers

Answer:

$25

Step-by-step explanation:

Answer:

You will be making 25$ payments each month

Step-by-step explanation:

600/24 = 25

Which expression does not belong with the other three?

Answers

Answer:

I think is the one with parenthesis

A selective college would like to have an entering class of 1200. Because not all students who are offered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students will accept. The college decides to admit 1500 students. Assuming that students make their decision independently, the number who accept, X, has the Bin(1500, 0.70) distribution. If this number is lower than 1200, the college will admit students from its waiting list.What is the mean of the distribution of X - that is, the expected number of students who will accept admission

Answers

Answer:

The value is [tex]\mu = 1050 [/tex]

Step-by-step explanation:

From the question we are told that

The sample size is n = 1500

The probability of a student accepting the admission is p = 0.70

Generally the mean off the distribution of X is mathematically represented as

[tex]\mu = np[/tex]

=>    [tex]\mu  =  1500 *  0.70 [/tex]

=>    [tex]\mu  =  1050 [/tex]

What Expression is equivalent to *

-1/2 (4x + 12)

Answers

Answer. -2 (-2x -6)
Explanation. An expression equivalent to -1/3 (4x + 12) would be -2 (-2x - 6) if we solve for both, we find that the answers are the same. let me know if i’m correct so others can use this answer as well :)
good luck.

A mug of coffee cools down
1/2
of a degree in
1/5
of an hour. At what rate is the coffee cooling?

I need it now pleaseeee

Answers

Answer:

2 1/2

ggez

Step-by-step explanation:

write down the two irrational number​

Answers

Answer:

Square root of 2

Pi

Step-by-step explanation:

Answer:

square root of 5 pi sq root of -11

Step-by-step explanation:

You find 1/6 of a case of
batteries. You to divide this
equally between 6 people. How
much of a case does each person
receive?

Answers

Each person receives 1/36th of a case.

Four years ago, you started a job with an annual salary of $40,000. At the end of each year on the job, you received a raise of 4.8%. The table shows your salary after each of your four annual raises.

Number of Years
Annual Salary
1
$41,920.00
2
$43,932.16
3
$46,040.90
4
$48,250.87

Answers

Answer:

the third one

Step-by-step explanation:

Suppose that you are interested in estimating the average impact a job training program has on wages. After controlling for observed factors that influence wages, participation in the training program, you find that the coefficient for the training is 0.55 and the standard error is 1.06. Thus, we can infer that the training program has a positive and statistically significant impact on wages at a 95% confidence level.
a) true
b) false

Answers

Answer:

False

Step-by-step explanation:

From the question we are told that

The coefficient for the training is [tex]r = 0.55[/tex]

The standard error is [tex]SE = 1.06[/tex]

The confidence level is 95%

Generally the level of significant is mathematically represented as

[tex]\alpha =( 100 -95)\%[/tex]

=> [tex]\alpha = 0.05 [/tex]

Generally the critical value of [tex]\alpha = 0.05 [/tex] obtained from the normal distribution table is [tex]Z_{0.05} = 1.645[/tex]

Generally the test statistics is mathematically represented as

[tex]t = \frac{r }{SE}[/tex]

=> [tex]t = \frac{0.55}{1.06}[/tex]

=> [tex]t = 0.5189 [/tex]

Generally given that the [tex]t < Z_{\alpha }[/tex]

Hence  there is no sufficient evidence to conclude that the program has a positive and statistically significant impact on wages at a 95% confidence level.

So the answer is False

Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.


Please hurry I need this answer ASAP

Answers

Answer:

The correct alternatives

This is a subtraction expression

The correct expression is n minus 31

To evaluate the expression, subtract 31 from 29.

Step-by-step explanation:

Rafael writes an expression to represent “a number, n, decreased by thirty-one.”

First you gotta know what means "decreased by thirty-one". It means that

there exist two numbers where the difference between them is 31.

The number [tex]n[/tex] decreased by 31 can be writen as

[tex]n-31[/tex]

The expression is therefore

[tex]n-x=31 \implies \boxed{x=n-31}, n, m \in \mathbb{R}[/tex]

Rafael evaluates the expression [tex](n-31)[/tex] for [tex]n=29[/tex]

[tex]n-31 = 29-31 = -2[/tex]

Answer:

A. B. G. H

Step-by-step explanation:

“Jessica has $300 to buy supplies for her painting. 
The canvas is $50 the set of brushes is $32, and every tube of paint is $15.
She wants to buy as many tubes of paint as possible.
A) write an inequality for the scenario
B) what is the maximum number of tubes of paint she can buy?”

Answers

Answer:

24

Step-by-step explanation:

50+32=82

300-82=218

218÷15=24

Solve the equation for all values of x in simplest form (x + 3)^2 = -16

Answers

Answer:

x = -7 or  x = 1

Step-by-step explanation:

Given expression:

    (x + 3)²  = -16

 

Problem;

   Solve for x;

Solution:

 To solve for x; we use the factorization method;

     Take -16 to the left of the equation;

      (x + 3)²  = -16

         (x + 3)² + 16 = 0

       (x+ 3)² + 4²  = 0

if    x² + y²  = (x + y)(x - y)

     So;

       (x + 3 + 4) (x + 3 - 4) = 0

       (x + 7)(x - 1) = 0

       x + 7  = 0 or x - 1 = 0

      x = -7 or  x = 1

why is (4,1) not a solution to the equation y=3x+1

Answers

Answer:

When you plug in the coordinate into the equation, the equation becomes false.

Step-by-step explanation:

Step 1: Define

y = 3x + 1

(4, 1)

Step 2: Substitute and Evaluate

1 = 3(4) + 1

1 = 12 + 1

1 ≠ 13

Answer: plus x and y into the formula

Step-by-step explanation:

3^10 + 3^10 + 3^10=
a)9^30
b)3^30
c)9^10
d3^11

Answers

Answer:

As a^m+a^m+a^m=a^m+m+m or (a+a+a)^m {WHEN BASES ARE SAME WE CAN ADD THE BASES TOGETHER AND PUT THE POWER (IN CASE OF ADDITION) AND WHEN POWERS ARE SAME WE CAN ADD THE POWERS AND LET THE BASE REMAIN SAME}

So,

(3+3+3)^10 and 3^10+10+10 is also true (only because both the basesa nd the powers here are the same)

So,

9^10 and 3^30

So option b and c are correct

HELP!!! WILL MARK BRAINLIEST!
SHOW YOUR WORK OR I WILL NOT GIVE BRAINLIEST

Answers

Answer:

4 inches

Step-by-step explanation:

hi! so there are 64 cubes with 1 inch side lengths. if we are trying to fill a container which is the size of a cube, we must take the cube root of 64, which is 4. this is because 4*4*4 is 64, and we are using cubes to fill up a larger cube. this means that there are going to be 4 1-inch cubes on each side of the larger cube. when filling this up, the volume is 64 cubic inches, which makes sense because of the 64 smaller 1-inch cubes. im not 100% sure by what you mean by "edge length", but if it is the normal length of the cube, the answer is 4 inches because the cube root of 64 is 4. however, if you are talking about the diagonal from edge to edge, you have to split up a 4 by 4 square into two congruent triangles by putting a diagonal line down the middle, and use the pythagorean theorem to find the length of the diagonal.

4^2+4^2=c^2

16+16=sqrt 32

sqrt 32

if this is the case, sqrt 32 inches is the answer.

hope this helps!

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

[tex]\boxed{4}[/tex] 4 inches is the edge length of the container.

[tex]a = 1[/tex] inch

[tex]v = a^3 = (1inch)^3 = 1inchs^3[/tex]

➷ Length of the big cube = A

Volume of the big cube = V

[tex]V = A^3[/tex]

✽ he uses 64 cubes with side lengths of 1 inch to completely fill the container.

[tex]V = 64 \times v = 64 \times 1inches^3[/tex]

[tex]A^3 = 64 \times 1inches^3[/tex]

[tex]A = 4inch[/tex]

Hence, The edge length of the container is 4.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Let ​f(x)=x2−16 and ​g(x)=15−x. Perform the composition or operation indicated.
​(fg)(7​)

Answers

Answer:

[tex](2x - 16)(15 - x) \\ (2(7) - 16)(15 - 7) \\ (14 - 16)(8) \\ ( - 2)(8) \\ = - 16[/tex]

One difference between obtaining a car with a lease or a loan is that _____.


a. a loan will not have any additional fees or payments that need to be considered while a lease comes with a handful of additional charges


b. a lease will not have any additional fees or payments that need to be considered while a loan comes with a handful of additional charges


c. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees


d. a loan finances the depreciated value of the car with related fees while a lease finances the total purchase price of the car


THE ANSWER IS: C. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees

Answers

Answer:

C. A loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees

Step-by-step explanation:

He legit said it. (Just writing this for those who are blind)

One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.

What is the difference between a Loan and a Lease?

A loan is suitable for a property that you wish to possess at the maturity date, i.e. anything with long-term worth.

On the other hand, a lease is ideal for items that deteriorate gradually and will not retain their worth beyond the period.

The most significant contrast between a lease and a loan is the manner in which the finance costs are paid.

The interest on a loan is amortized throughout the period. i.e. your consumer pays more interest at the start and more principal in the end.

Although leasing is not free, the financing charges are predetermined all through the period and are not deducted from the borrowed amount.

From the information given:

One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.

Learn more about Loan and lease here:

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-2^2= 4 or -4??

i will give brainly ​

Answers

Answer:

4

Step-by-step explanation:

I am assuming you mean (-2)^2 and not -(2)^2, correct.

If i m wrong in the assumption and its the latter one, then it is -4 since you are taking the - of 4

Answer:

-4

Step-by-step explanation:

[tex]-2^2=-4\ \text{because}\ -2^2=-(2\cdot2)=-4\\\\(-2)^2=4\ \text{because}\ (-2)^2=(-2)(-2)=4[/tex]

The parentheses are very important here.

The same in

[tex]\dfrac{2}{3}^2=\dfrac{4}{3}\\\\\left(\dfrac{2}{3}\right)^2=\dfrac{4}{9}[/tex]

i’ll mark brainliest!!

Answers

The answer is 50

Hope this helps!

find x and y (Please answer)​

Answers

Answer:

X=58

Y=32

Step-by-step explanation:

Right angle is 90°

90-58=32

The one thats 58° is opposite on x so they are th same what means y is 32°

Two angles of a triangle measure 53. What is the measure of an exterior angle at each vertex of the triangle?

Answers

Answer:

53+53=106

180-106=74

74 + 53= 127 (answer 1)

53+53=106 (answer 2)

74+53=127 9answer 3)

The measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Two angles of a triangle measure 53:

The measure of the angles of a triangle:

53, 53, (180-53-53)

53, 53, 74 in degrees

As we know,

The sum of the two interior angles of a triangle is equal to the exterior angle:

Exterior angle(1st vertex) = 53 + 53 = 106 degrees

Exterior angle(2nd vertex) = 53 + 74 = 127 degrees

Exterior angle(3rd vertex) = 74 + 53 = 127 degrees

Thus, the measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.

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What is the answer to 6.59+(-7.8)-(2.41)=

Answers

The answer is -3.62... hope it helps! :)

Plz help me find what ∠2 is measured to.

Answers

Answer:

73

Step-by-step explanation:

180-107=73

angle 1 is congruent to angle 3 which is 107 degrees

Find the rate of change.

Answers

Answer:

2

Step-by-step explanation:

Because it goes up 1 and a half and over 1 which equals 2?

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