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Mathematics

1 answer:

Daniel [21]3 years ago

4 0

Answer:

I'm pretty sure you can find the whole answer book online

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Katrina wants to estimate the proportion of adults who read at least 10 books last year. to do so, she obtains a simple random

Vaselesa [24]

E=Z*sqrt (p(1-p)/N), where E= error margin, p=proportion, N=sample size

Katrina's margin error at 85% confidence interval: E=1.96*sqrt (p(1-p)/100) = 0.196 sqrt (1(1-p))

Mathew's margin error at 99% confidence interval: E= 2.58*sqrt (p(1-p)/400) = 0.129 sqrt (p(1-p))

Since both obtained same estimate of proportion (that is, value of p), it can be seen that Mathew's estimate will have a small error (That is, 0.129 is smaller than 0.196). This can be attributed to larger sample size although a wider confidence (99%) interval was considered.

3 0

3 years ago

Lisa paid $43.95 for 16.1 gallons of gasoline.What was the cost per gallon,rounded to the nearest hundreth?Show your work

Rashid [163]

2.73

You need to divide 43.95 by 16.1 then round it off. That is how you get 2.73. I hope this helps and good luck!

8 0

3 years ago

Identify the Type II error if the null hypothesis, H0, is: The capacity of Anna's car gas tank is 10 gallons. And, the alternati

Elina [12.6K]

Answer:

20gallons

Step-by-step explanation:

6 0

3 years ago

An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a

belka [17]

Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds <span>it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s
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4 0

3 years ago

Read 2 more answers

Please help me id really appreciate it

loris [4]

Answer:

Step-by-step explanation:

1. 2/5

2. 9/20

3. 0.43

4. 40.2%

5. 42%

6. 0.403

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I truely hope this is right & i hope this helps you ! <3

5 0

3 years ago