A sociologist polled a random sample of people and asked them their age and annual income. The two-way frequency table below shows the results. Annual income vs. age group Less than $50,000 At least $50,000 Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132 Total 186 162 348 Which of the following statements is true of those polled? Choose 1 answer: А A person with an annual income of less than $50,000 is more likely to be 45 years old or above. B A person in the 44 and under age group is more likely to to have an annual income of at least $50,000​

Answers

Answer 1

Answer:

C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above

Answer 2

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​ is a correct statement.

We have given that,

A sociologist polled a random sample of people and asked them their age and annual income.

What is the annual income?

annual income is the amount of money you receive during the year into your bank account, before any deductions.

The two-way frequency table below shows the results.

Annual income vs. age group Less than $50,000 At least $50,000

Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132

Total 186 162 348

A person with an annual income of at least

[tex]=\$50000\\=$50,000dollar[/tex]

Therefore statement b is true.

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​.

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Related Questions

Simplify 1/3(6x+3) -4(3x-2)

Answers

Answer: -10x+9

Step-by-step explanation:

PLEASE ANSWER ASAP

If f(x)= 5x-8 which of the following is the inverse of f(x)?

A. F^1(x) = x-5/8
B. F^1(x) =x-8/5
C. F^1(x) = x+8/5
D. F^1(x)= x+5/8

Answers

Answer:

c

Step-by-step explanation:

For an inverse function you take f(x) and turn that to y then you switch x and y. So you should start off with y= 5x -8. so then you switch x and y so x= 5y - 8. So then you solve. You subtract 8 from both sides and divide by 5 and you get F(x) inverse = x + 8/5

represent the following sentence as an algebraic expression , where '' a number '' is the letter x . you do not need to simplify
7 lesss than the product of 5 and a number

Answers

5x -7
That’s the expression, I believe

Answer:

5x-7

Step-by-step explanation:

5x-7

Product=multiply so 5x and less than is minus so 5x-7.

Hope this helps :D

can someone please help im lost

Answers

Answer:

-146

Step-by-step explanation:

Step-by-step explanation:

putting the value f(-9) in expression

= -(-9)^2-7×(-9)-2

= 81+63-2

=142

i need help to solve this please

Answers

Answer:

hahahaha qiau181e81 8qy28e82

A pure green beetle is crossed with a pure brown beetle. All of the offspring are green. Which explanation below, correctly explains this phenomenon?

A.Green and brown are equally expressed so they are both dominant.


B.Green is more common than brown so more green genes are passed on.


C.The gene for green color is dominant over the gene for brown color.



D.The gene for brown color is dominant over the gene for green color.

Answers

Answer:

C.

The green color gene is more dominant over the gene for brown color.

Step-by-step explanation:

Whichever gene is dominant is the one that will be applied to the organism.

Decide which type of graph will best represent the fact
that the majority of students like pepperoni pizza.

Answers

Answer:

Bar graph

Step-by-step explanation:

Have a good day!

How many solutions does this equation have?
-4 + 19 - 7f = -15 - 7f
no solution
one solution
infinitely many solutions

Answers

Answer:

No solution

Explanation:

-4+19-7f = -15-7

cancel terms on both sides ( add 7f on both sides)

Calculate the sum

-4+19= -15

-4+19=15

15 = -15

The statement 15 = -15 is false so there is no solution :)

Willy Wonka has x chocolate bars in his factory. He gives one third of the chocolate bars to Charlie, and eats one half of the remaining chocolate bars. If he is left with 90 chocolate bars in the factory, what is the value of x?

Answers

Answer: The value of x= 270

Step-by-step explanation:

Given: Willy Wonka has x chocolate bars in his factory.

Chocolates he gave = [tex]\dfrac13 x[/tex]

Remaining chocolates =  [tex]x-\dfrac{x}{3}=\dfrac{2x}{3}[/tex]

Half of the remaining chocolate bars = [tex]\dfrac12\times\dfrac{2x}{3}=\dfrac{x}{3}[/tex]

Now , Chocolate left [tex]x-\dfrac{x}{3}-\dfrac{x}{3}=\dfrac{3x-2x}{3}=\dfrac{x}{3}[/tex]

As per given , [tex]\dfrac x3=90[/tex]

[tex]\Rightarrow\ x=90\times3=270[/tex]

Hence, the value of x= 270

Maya estimates that the wait time for her favorite roller coaster is 35 minutes. The actual wait time is 55.5 minutes. What is the percent error of Maya's estimate? Round the percent to the nearest tenth if necessary.

Answers

Answer:

36.9%

Step-by-step explanation:

The formula for Percent Error =

[|Approximate value - Actual value|/ Actual value ] × 100

Approximate value = 35 minutes

Actual value = 55.5 minutes

Percent Error =[ |35 - 55.5|/55.5] × 100

Percent Error = |-20.5|/55.5 × 100

Percent Error = 20.5/55.5 × 100

Percent Error = 36.936936937%

Approximately to the nearest tenth = 36.9%

Miguel drives 220 meters up a hill that makes an angle of 4o with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? Only round your answer once.

Answers

Answer:

168.5 meters is the horizontal distance covered

Step-by-step explanation:

Here, we simply want to calculate the value of the horizontal distance traveled

This is same as calculating the horizontal component

What we have here will be a right-angled triangle with 220 as the hypotenuse and the horizontal distance as the adjacent

So we make use of cos

cos 40 = x/220

x = 220 cos 40

x = 168.53 meters

To the nearest tenth, this is 168.5 meters

3. + (-2) + (-24 )
Please help this question is worth a lot of points ( math question) help please:)

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{ - 26}}}}[/tex]

☄ Question : Simplify[tex] \sf{ + ( - 2) + ( - 24)}[/tex]☄ Step - by - step explanation : [tex] \sf{ + ( - 2) + ( - 24)}[/tex]

Remember : [tex] \sf{( + ) \times ( - ) = ( - )} [/tex]

[tex] \dashrightarrow{ \sf{ - 2 - 24}}[/tex]

Remember : The negative integers are always added but posses the negative ( - ) sign.

[tex] \dashrightarrow{ \boxed{ \sf{ - 26}}}[/tex]

--------------------------------------------------------------

† Remember :

Sign rules of addition and subtraction of integers :

The positive integers are always added but posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.

Sign rules of multiplication and division :

[tex] \sf{( + ) \times ( + ) = ( + )}[/tex][tex] \sf{( + ) \times ( - ) = ( - )}[/tex][tex] \sf{( - ) \times ( + ) = ( - ) }[/tex][tex] \sf{( - ) \times ( - ) = ( + ) }[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Hope I helped!

Have a wonderful time ! ツ

Which table represents this function?
y=5x-2

A.
x y
1 4
2 5
3 6
4 7
B.
x y
1 3
2 6
3 9
4 12
C.
x y
1 3
2 5
3 7
4 9
D.
x y
1 3
2 8
3 13
4 18

Answers

Answer:

D.

Step-by-step explanation:

What is the circumference if we use 3.14
for pi?

Answers

Answer:

50.24m

Step-by-step explanation:

3.14 x 16 = 50.24

What’s the correct answer?

Answers

Answer:

B

Step-by-step explanation:

The question said the person bought a shirt which means 1 and 3 pairs of pants which means multiple but we don’t know how many so we substitute that ? for a x so 15 + 3x =117

Answer:

B

Step-by-step explanation:

It is B because we do not know the price of the three pants but know that the total is 117 and the price of the t-shirt is $15

check if given set of numbers 6,8,10 forms pythagorean triplet or not?​

Answers

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

We know that,

Pythagoras theoram is given by : p² + b² = h²

In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.

Then,

We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.

Sum of squares of smaller sides:

= 6² + 8²

= 36 + 64

= 100

Square of longer side:

= 10²

= 100

Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.

And we are done! :D

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]

A chef uses 2 tablespoons of olive oil for every 3 tablespoons of butter. How much olive oil is needed for each tablespoon of butter?

Answers

Answer: 2/3

Step-by-step explanation: You take the 2 and divided it by 3 but your going to get a long decimal so you can put it into a fraction of 2/3

Answer:

2/3

Step-by-step explanation:

2 divided by 3

What is the least number of congruency statements needed to be stated in a triangle congruency proof to prove triangles are congruent?


really not sure what the answer is

Answers

Answer:

3

Step-by-step explanation:

The answer should be 3? Geometry.

Andrea ordered a computer on the Internet. The computer cost $1399 plus 6 1/2% sales tax. What was the total amount Andrea paid for her computer?

Answers

Answer:

$1,489.94

Step-by-step explanation:

Answer:

1,489.94

Step-by-step explanation:

6.5% = 0.065

1399x 0.065= 90.935

1399 + 90.935 = 1,489.94

. Bella makes $7.50 an hour working at her job at the movie theater. If she worked 12 hours last week and 15.5 hours the week before, how much did she make total for the two weeks? (3pts – 1pt each for setting up equation, correct answer, correct label)

Answers

She made 206.25$
(7.50x12)+(7.50x15.5)= 206.25

How many groups of 3/4's are in 9

Answers

Answer:

3

The three regions of Latin America are:

Answer:

12

Step-by-step explanation:

All you have to do is divide 3/4 into 9

when dividing fractions you do the process (kcf) keep change flip

you keep the first fraction change the division sign to multiplication then flip your 2nd fraction

9/1 divided by 3/4

keep the first fraction

change the division to multiplication

flip the 2nd fraction which is 3/4 flip it and make it 4/3

now you multiply 9/1 * 4/3

9 times 4 is 36

1 times 3 is 3

36/3 is an improper fraction so you can change it to a whole number because 36 divided by 3 is 12.

the radius of the small circle is 0.5 millimeters the area of the large circle is 28.26 squared millimeters calculate the area of the state of region​

Answers

There is a typo in the question. Where it reads 'state of' should read 'shaded'

Answer:

[tex]A=27.47\ mm^2[/tex]

Step-by-step explanation:

Area of a Circle

Given a circle of radius r, its area can be calculated as follows:

[tex]A=\pi r^2[/tex]

The area of the shaded region can be found by subtracting the area of the large circle minus the area of the small circle.

We already know the area of the large circle:

[tex]A_l=28.26\ mm^2[/tex]

Now we calculate the area of the small circle of radius r=0.5 mm:

[tex]A_s=\pi\cdot 0.5^2[/tex]

Calculating:

[tex]A_s=0.79\ mm^2[/tex]

The area of the shaded region is:

[tex]A=A_l-A_s=28.26\ mm^2-0.79\ mm^2[/tex]

[tex]\mathbf{A=27.47\ mm^2}[/tex]

Find the value of x that will make A||B.
5x + 9
A
D
B
3x + 11

Answers

Answer:

x = 20

Step-by-step explanation:

5x + 9 + 3x + 11 = 180

Combine like terms

8x + 20 = 180

Subtract 20 from both sides

8x = 160

Divide both sides by 8

x = 20

Please help me!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer

Answers

Answer:

[tex]m=-\frac{3}{2}[/tex]

Step-by-step explanation:

First, look at the graph and pick out two points that we can use for the slope equation. I see (0,2) and (-2,5) as two possibilities. Now, we just plug them into the slope equation. Remember that the slope equation is

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

(the '2' and '1' are subscripts, not exponents)

Let's call our first point (0,2) x1 and y1. (-2,5) can be the second point.

If we plug this into the equation:

[tex]m=\frac{5-2}{-2-0}[/tex]

Now we just simplify and get

[tex]m=\frac{3}{-2}[/tex]

Our slope is [tex]-\frac{3}{2}[/tex].

I hope this helps!

I think it’s M=-3/2 have a great day

Educators in Michigan have been trying to raising math achievement scores for several years without success. Results from the state assessment test given in fourth grade show that 52% of all fourth graders cannot subtract when borrowing from zero (regrouping with zero in the subtrahend). Two new techniques for teaching this concept have been developed by teachers who belong to the Michigan Council of Teachers of Mathematics. It is decided that each technique be used in randomly selected classrooms throughout the state. Sixty third-grade classrooms are selected to try each of the techniques. Results from the state assessment test will then be monitored for each of the next two years to see whether either of the two techniques will be effective in teaching subtraction from zero. Sixty-three percent of the students who were taught with first technique passed the objective. Only 32% of students who were taught with the second technique passed the objective.
1. The population is:______.
A. All fourth graders in Michigan.
B. All third graders in Michigan.
C. The students who were in the 60 third-grade classrooms that used each technique.
D. All students in fourth grade who were taught with one of the techniques.
2. The sample is:______.
A. All fourth graders in Michigan.
B. All third graders in Michigan.
C. The students who were in the 60 third-grade classrooms that used each technique.
D. All students in fourth grade who were taught with one of the techniques.
3. An example of a parameter in the study is:______.
A. 63% of the students taught using technique 1 achieved the objective of subtracting from zero.
B. 32% of the students taught using technique 2 passed the state objective test.
C. 52% of all fourth graders in Michigan cannot subtract from zero.
D. 52% of all fourth graders in Michigan cannot pass the fourth-grade mathematics state assessment test.
4. An example of a statistic in the study is:_______.
a. 63% of the students taught using technique 1 achieved the objective of subtracting from zero.
b. 32% of the students taught using technique 2 passed the state objective test.
c. 52% of all fourth graders in Michigan cannot subtract from zero.
d. both a & b.
e. all of the above.
5. The dependent variable is the:______.
A. Results from the fourth-grade state assessment test in mathematics state assessment.
B. Instruction in math in third grade.
C. Two new techniques for teaching subtraction from zero.
D. Percentage of children who passed the objective subtraction from zero.
6. The independent variable is the:______.
A. Results from the fourth-grade state assessment test in mathematics state assessment.
B. Instruction in math in third grade.
C. Two new techniques for teaching subtraction from zero.
D. Percentage of children who passed the objective subtraction from zero.

Answers

Answer:

1. A. All fourth graders in Michigan.

2. C. The students who were in the 60 third-grade classrooms that used each technique.

3. C. 52% of all fourth graders in Michigan cannot subtract from zero.

4. d. both a & b.

5. D. Percentage of children who passed the objective subtraction from zero.

6. C. Two new techniques for teaching subtraction from zero.

Step-by-step explanation:

1. We can make this conclusion since an assessment test often comes after students undergo the required lessons (that is using taught the new techniques, so when they entered the fourth grade the assessment would be taken to determine their performance. Hence, the population of the study is the entire fourth-graders in Michigan.

2. The sample includes only students who made up the "60 third-grade classrooms that used each technique". In other words, they were the subject of the study.

3. Remember, a parameter often refers to numbers that summarize the entire data of a particular population. So we could say, that 52% of all fourth graders in Michigan that cannot subtract from zero make up the parameter.

4. A statistic is usually any resulting values gotten from a sample. Hence, both statements a and b are statistics from the sample.

5. Remember, the dependent variable is a variable that can be influenced by another variable; the independent variable. In other words, the percentage of children who passed the objective subtraction from zero could be affected by the independent variable.

6. The independent variable is the variable that could influence the dependent variable. In other words, the two new techniques for teaching subtraction from zero could influence "the percentage of children who passed the objective subtraction from zero."  

PLease answer the slope
!!!!!!!!!!!!!!!!!!!

Answers

-2/1 or -2

Ignore this, Brainly be saying my answer should have more words-_-

FRQ 1

Amusement parks sell day passes and season passes. A day pass to Fun World costs $41 and provides admittance to the amusement park for one day. A season pass to Fun World costs $100 and provides unlimited admittance to the amusement park all season.

The manager of Fun World would likely be able to understand how frequently patrons visit the park. At the end of the season he selects two separate random samples: one of 30 patrons that did not buy a season pass and one of 30 patrons that did buy a season pass. The parallel boxplots show the distribution of number of visits per patron for the most recent season for these two samples.



A) Write a few sentences comparing the distributions of number of visits for the sample of patrons that did and did not buy a season pass.




B) The mean number of visits per patron among those that did not buy a season pass is 1.7 visits per patron. The mean number of visits per patron among those that did buy a season pass is 2.967 visits per patron. Are these values parameters or statistics? Explain.




C) The number of visits for the 30 patrons that bought season passes are:

1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 7 9 10

What proportion of these patrons would have paid less if they bought day passes rather than a season pass? Explain.

Answers

Answer:

a) The number of visits between the patrons who buys the season passes shows higher frequency than those who did not buy season passes, in general. However, the minimum value of 1 visit is present for both cases.

b) The mean visits of the patrons are just PARAMETERS. If you want to test your hypothesis using hypothesis testing, the statistics are the z or t scores comparing the parameters (means).

c) The proportion who would have paid less are those with 2 or fewer visits because they would only just paid $82 instead of $100.

Number of patrons with 2 or fewer visits: 16

Total number of patrons who bought season passes: 30

Proportion who would've paid less = 16/30 = 0.5333

Step-by-step explanation:

I just did it

Boxplots gives diagrammatic representation of a distribution using box and whiskers.

Statistical values derived form a sample are called statistic while those obtained from population are called parameter.

The proportion of patrons who would have paid less is 0.533

We can briefly describe the distribution represented by the boxplot thus :

Minimum visit for those who purchased season ticket and those who didn't is the same with a value of 1. Maximum visit for those who purchased season ticket is 7 ; while the maximum visit for those who didn't is 3Both distributions have two outlier values each.

B.)

The mean values for the number of visits per patron are statistic. This is because the mean values are derived from a sample.

Statistical values derived from the population are called parameters.

C.)

Day pass = $41

Season pass = $100

In other to pay less by purchasing a day pass :

Number of visits must be ≤ 2

This means total amount paid = $(41 × 2) = $82

Number of patrons who had ≤ 2 visits = 16

Total Number of patrons = 30

Proportion who would have paid less :

Number of patrons who had ≤ 2 visits ÷ Total Number of patrons16 ÷ 30 = 0.533

Therefore, the proportion of patrons who would have paid less is 0.533.

Learn more :

https://brainly.com/question/13218948

https://brainly.com/question/24582786

a slope
5 and passes through the point (3, -7)

Answers

Answer:

y = 5x - 22 is the answery - intercept is -22.

Step-by-step explanation:

Given:

Slope: 5

Point: (3, -7)

Unknown:

Equation = ? = y = mx + b

y - intercept = ?

Step 1. Input the coordinates into the equation of y = mx + b.

y = 5x + b

y-coordinate = -7

x-coordinate = 3

-7 = 5(3)+b

Step 2. Solve for b.

-7 = 15 + b

-15  -15

b = -33

Step 3. Make the y equation.

y = mx + b

mx = 5x

b = -22

y = 5x - 22

y = 5x - 22 is the answery - intercept is -22.

Hope it helped,

Kavitha Banarjee

3. LOOK FOR THE KEY WORD!
A music recording company recently released 49 nd Ds. Of
the new CDs, 2/7 are by country artist. How many
country CDs were released by the music company?
A. 14 CDs
C. 63 CDs
B. 35 CDs
D. 18 CDS
А
B
OD

Answers

Answer:

A. 14 CDs

Step-by-step explanation:

Divide by 7 to get the unit rate, then multiply by 2 to get your answer

(4x+8)+(2x+20)=90 help me solve this and draw a diagram

Answers

Answer:

x = 31/3

Step-by-step explanation:

4x+8+2x+20=90

4x+2x+8+20=90

4x+2x+8+20=90

6x+28=90

6x+28-28=90-28

6x=62

x = 31/3

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