Researchers studied the role that the age of workers has in determining the hours per month spent on personal tasks. A sample of 1,686 adults were observed for one month. The data are:

Answers

Answer 1

The 98 percent confidence interval for the mean hours spent on personal tasks for 25-44 years olds will be (3.97, 4.11).

How to calculate the confidence interval?

From the complete information, it should be noted that the mean is 4.04, the standard deviation is 0.81 and the number is 708.

Since the sample size is large, so the z-critical will be used. In this case, the critical value is 2.33.

The 98% confidence interval will be:

= 4.04 + 2.33(0.81/✓768)

= 4.11

Also, 4.04 - 2.33(0.81/✓768)

= 3.97

Therefore, the 98% confidence interval is (3.97, 4.11).

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Related Questions

Quadrilateral ABCD has vertices at A(-4,5) B(-1,9) C(7,3) and D(4,-1). What is the most precise name for a quadrilateral ABCD?

Answers

Answer:

Rectangle

Step-by-step explanation:

The answer you put was a rhombus , which is wrong . if you put the coordinates in you would see that its a rectangle slightly tilted instead of  rhombus , a rectangle has more of a wider side than a rhombus does . please change your answer!


500ml of milk for 60p
4 litres for £3.20
Which bottle is better value for money?

Answers

Answer:

4 liters for £3.20

Step-by-step explanation:

we want to maximize quantity for each unit of money spent. if we use mL and p, we want to maximize mL/p

500 mL = 60 p

divide both sides by 60p to get a mL/p value

500 mL/60 p = 50/6 p ≈ 8.3 mL per pence

4 L = £3.20

note:

1000 mL = 1L

divide both sides by 1 L/ 1000 mL

1000 mL / 1 L = 1

1 L / 1000 mL = 1

100 p = £1

divide both sides by 100p / £1

100p / £1 = 1 = £1 / 100p

convert everything to the same units (mL and p) to accurately compare

4 L = £3.20

4L  = 4L * 1 = 4L * 1000 mL / 1 L = 4000 mL. Note that we have two options to choose from -- 1000 mL / 1 L and 1 L / 1000 mL. We choose the first one here because we want the 4L to cancel out with the 1 L

£3.20 = £3.20 * 1 = £3.20  * 100p / £1 = 320 p. note we put the £1 on the bottom so the euros cancel out.

thus,

4 L = £3.20

= 4000 mL = 320p

divide both sides by 320p to get a mL / p value

4000 mL / 320 p = 12.5 mL/p

8.3 mL per pence in the first one

12.5 mL per pence in the second one

the second one has a higher mL per pence, so that is a better value

Answer number 11 please thank you

Answers

Answer:

A. No

B. No

C. Yes

D. No

jfzisossyokszkvgtis

PLEASE help me
this is a 45°-45°-90° triangle.
solve for a.

Answers

Answer:

a = 8

Step-by-step explanation:

45° - 45° - 90° triangle

1 - 1 - √2

8 - 8 - √8

PLEASE HELP!!!!
What is the area of the picture below?

Answers

you either multipy or add all of the numbers and find the perimeter

the answer to your question is 16.5

50 POINTS

What is the value represented by the letter E on the box plot of the data?

45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90

Answers

Answer:

90

Step-by-step explanation:

In a box plot, the point farthest to the line is the greatest or maximum number of the problem(in this case E). You look for the greatest number out of them all and that would be your answer(90).

Can i pretty please with a cherry on top get brainliest??

:>

90 because E is the maximum value

Find the area of the figure. Use 3.14 for 77.
in
7 in
A. 56.13 in2
B. 35.13 in2
C. 70.26 in2
D. 49,26 in2

Answers

Answer:

C 70.26 in2

Step-by-step explanation:

6 = D

R = D/2

R = 3

A = 3.14 x 3 x 3

A = 3.14 x 9

A = 28.26

The area of the triangle is

A = 6 x 7

A = 42

So

42 + 28.26

70.26 in2

Miss David's birthday is in April, and she is going to have a party. She is
looking to buy a bag of decorations. Each bag has two different types of
decorations: balloons and streamers. The first bag has 10 balloons and 4
streamers. The second bag has 12 balloons and 5 streamers. The last bag
has 8 balloons and 10 streamers. Bag 1 costs $82, bag 2 costs $100, and
bag 3 costs $120.

How much does each type of decoration cost?

How did you get your answer?

what equation did you use?

Answers

Answer:

120

Step-by-step explanation:u need to add it all and divide 4

What is the percent of change 30in to 24in

Answers

Answer:

1/5

Step-by-step explanation:

30 - 24 = 6

6 = 6/30

6/30 = 1/5

Answer: 20%

Step-by-step explanation: 30- 24 = 6

6/30 × 100/ 1 = 20%

Draw the circle with equation x² + y² = 16

Answers

Answer:

Below.

Step-by-step explanation:

The center of the circle is at the origin and its radius is √16 = 4.

So set a compass to 4 and draw a circle with the compass point at the origin.

Please help!! Will mark brainlyest.

Answers

Answer:

1 and 2

Step-by-step explanation:

Jacob is twice as heavy as Ken Linda is half as heavy as Ken Giver 3 children is at least 35 kg. a By letting Linda's mass be x, write an inequality for the total mass of the 3 children b. Hence, find the minimum mass of Ken Monica wanted to buy x notebooks at $3.50 each and 15 rulers at $(x+0.20) each She had a budget of $105 only c. Write an inequality for Monica's total expenditure . Hence, how many notebooks can she buy at most? ​

Answers

==> she can buy 45 notebooks at most.

[tex] \: \: \: \: [/tex]

1
1. The measure of 2G is 82º. What is the
measure of its supplement?

Answers

A supplement adds to 180°, or a straight line..

So the supplement is 98°

Answer:

98º

Step-by-step explanation:

Since a supplementary angle is 2 angles which equal 180 degrees we would have this angle and 1 more angle that add up to 180:

[tex]82+x=180[/tex]

subtract 82 from both sides

[tex]x=98[/tex]

TIME SENSITIVE I REALLY NEED HELP
Which function is continuous at x = 18?

Answers

Answer:

The answer is D.

Step-by-step explanation:

a) Plugging x = 18 gets numerator 0^2/18 = 0 that not continuous.

b) Plugging x = 18 the denomiator becomes a value/0 making it undefined.

c) Plugging x = 18 gets tan(2pi) = 0/1 which is 0

d) f(x) = 36 is should be a straight lines at y =36. I think. Best option is D.

Researchers capture and mark 43 squirrels in a park. The next week, researchers capture 50 squirrels and 38 of them are marked from the previous month. Estimate the squirrel population in the park.

Answers

The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55

How to determine the population of squirrel?

The given parameters are:

Marked squirrels = 43

Captured squirrels = 50

Of the 50 captured squirrels, 38 are from the marked squirrels.

This means that the number of unmarked squirrels is:

Unmarked = 50 - 38

Evaluate

Unmarked = 12

The population of the squirrel is then calculated using:

Population = Marked + Unmarked

So, we have:

Population = 43 + 12

Evaluate the sum

Population = 55

Hence, the estimate of the population of squirrel in the park is 55

Read more about population at:

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#SPJ1

Tell me the answer and show work pls

Answers

Answer: a12 = 1/5120

Step-by-step explanation:

geometric sequence formula: an = a1*r^(n-1)

a1 = 2/5, r= 1/2, n= 12

a12 = 2/5*r^11

a12 = 2/5*1/2048

a12 = 1/5120

Look at
Which of the following is the best description for this type pair of angles?

Answers

Answer:

Complementary angles

Step-by-step explanation:

Complementary angles because the two angles is shared on a same line as each others.

Eddie drew a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 6 feet. If the actual width of the porch is 18 feet, how wide is the porch in the drawing?

Answers

Answer:

3 inches

Step-by-step explanation:

18/6=3

Each day, a salesperson earns $25 plus 5% of their total sales for the day. The salesperson's goal is to earn more than $50 on Thursday. Which statements are true? Select all that apply.​

Answers

The true statement about the inequality is that Total sales per day is greater than $250

How to write and solve inequality equation?

Total sales per day = x

Amount earned per day = 25 + 5% of x

= 25 + 0.05x

Thursday = 4th day of the week

The inequality:

4(25 + 0.05x) > 50

100 + 0.2x > 50

100 - 50 > 0.2x

50 > 0.2x

x > 50/0.2

x > $250

Learn more about inequality:

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the table below shows the length of the hiking trails at a local park. Aaron hikes half of the blue trail. what distance did he hike?

Answers

Answer:

The answer is B.

Step-by-step explanation:

I was trying to answer ur question a little bit ago, where it had multiple quesitons, but it had gotten deleted. I saved the answers for you

1st one- B(This question lol) , second one- C, third one- ?, fourth one- C, Fifth one- A.

I wasnt sure about the third one but i got the others...

Hope it helps you :)

Pls mark brainleist :P

`

`

`

w/ <3...

Tori

Answer:

Its 0.5 miles

Step-by-step explanation:

can someone pls help me !!

Answers

Answer:

I am not sure

Step-by-step explanation:

I believe if you take and break down what you paid and then it will be easier to figure out the interest

Joe, a plumber, charges $45 per hour plus
$100 for making an in-home visit. Write
and solve an equation to find out how
many hours of plumbing work are needed

Answers

Answer: The answer is five

Step-by-step explanation:

Set y = z

50x + 75 = 65x

Subtract 50x from both sides

50x (-50x) + 75 = 65x (-50x)

75 = 15x

Divide both sides by 15

75 (/15) = 15x (/15)

5 = x

And there we have it, x = 5! So it takes 5 hours of work for each to cost the same.

Answer: (Y - 100)/ 45 =No of hours

where y is the full payment

Step-by-step explanation:

Charges per hour plus visit is 45+100 where 100 Is fixed

2hr is (45 × 2) +100

Payment y for Xhrs= 45X + 100

Y =45X + 100

Y -100 =45X

Y -100/45 = X

Michael's total sales last month
was $12,000. If he earned $480 in
commission, what was his
commission rate?

Answers

His commission rate would be 4%
480/12000=.04

A 15kg bag of strawberry for $8

Answers

Answer:

see below

Step-by-step explanation:

Not sure what you are looking for :

15 kg / $8    = 1.875   kg  per dollar

$8 / 15 kg =  .533  dollars per kilogram

Find the midpoint of CD.
C = (-3,4) and D = (5,-8)

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 5 -3}{2}~~~ ,~~~ \cfrac{ -8 + 4}{2} \right)\implies \left(\cfrac{2}{2}~~,~~\cfrac{-4}{2} \right)\implies (1~~,~~-2)[/tex]

which expressions are equivalent to 4^-2*7^-2

Answers

Answer:

[tex]\textsf{B)}\quad \dfrac{1}{28^2}[/tex]

[tex]\textsf{C)} \quad \dfrac{7^{-2}}{4^2}[/tex]

Step-by-step explanation:

[tex]4^{-2} \cdot 7^{-2}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b \cdot c^b)=(ac)^b:[/tex]

[tex]\implies (4 \cdot 7)^{-2}[/tex]

[tex]\implies (28)^{-2}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{28^2}[/tex]

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

Also,

[tex]4^{-2} \cdot 7^{-2}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{7^{-2}}{4^2}[/tex]

[tex]\\ \rm\Rrightarrow 4^{-2}7^{-2}[/tex]

a^{-n}=1/a^n

[tex]\\ \rm\Rrightarrow \dfrac{1}{4^2.7^2}[/tex]

a^n×b^n=(ab)^n

[tex]\\ \rm\Rrightarrow \dfrac{1}{(4.7)^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{28^2}[/tex]

If we break only 4

[tex]\\ \rm\Rrightarrow \dfrac{7^{-2}}{4^2}[/tex]

Option B and C

The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?

Answers

The answer to your question is 36%

I think it’s
True
False
True
False
True

Answers

Answer:

False

False

True

True

True

Step-by-step explanation:

Answer:

False

False

True

True

True

Step-by-step explanation:

up ;)

suppose felino deposited $1500 in the bank for 3 years. he makes $112.50 in simple interest at the end of the 3 years. find the annual interest rate

Answers

Answer:
2.5%
Step-by-step explanation:
Simple interest=Deposit×Rate/100×Time
112.50=1500×R/100×3
112.50/45=45R/45
R=2.5%

which of the following is an example of the atmosphere inracting with the biosphere

Answers

Answer:

rain (hydrosphere) falls from clouds in the atmosphere to the lithosphere and forms streams and rivers that provide drinking water for wildlife and humans as well as water for plant growth (biosphere)

Step-by-step explanation:

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