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yarga [219]
3 years ago
10

A rectangle has a perimeter of 204 feet

Mathematics
1 answer:
zepelin [54]3 years ago
8 0
If you trying to answer what would be on all the sides if it were to be equal then 51 would be the answer if it's not what the question seems I will try and answer, but be more explanatory.
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Anas wants to build a one-sample z interval with 85% confidence to estimate what proportion of users will click an advertisement
klasskru [66]

Answer:

See below

Step-by-step explanation:

<u>Check One Sample Z-Interval Conditions</u>

Simple Random Sample? √

np≥10? √

n(1-p)≥10? √

<u>One-Sample Z-Interval Information</u>

  • Formula --> CI=\hat{p}\pm z^*\biggr(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\biggr)
  • Sample Proportion --> \hat{p}=\frac{54}{250}=0.216
  • Critical Value --> z^*=1.4395 (for a 85% confidence level)
  • Sample Size --> n=250
  • Margin of Error (MOE) --> \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

<u>Problem 1</u>

As stated previously, Anas should use the critical value z^*=1.4395 to construct the 85% confidence interval

<u>Problem 2</u>

Given our formula for the margin of error (MOE), the value is MOE=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\sqrt{\frac{0.216(1-0.216)}{250}}\approx0.026

<u>Problem 3</u>

The 85% confidence interval would be CI=\hat{p}\pm z^*\biggr(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\biggr)=CI=0.216\pm 1.4395(0.026)\appro=\{0.1786,0.2534\}, which means that we are 85% confident that the true proportion of people that clicked on the advertisement is between 0.1786 (~45 people) and 0.2534 (~63 people)

<u>Problem 4</u>

Increasing the sample size to n=500 is going to decrease the margin of error because it is a closer representation of the population, but, alas, requires more time, energy, and resources to observe.

8 0
3 years ago
Find the length of an arc of an 8" radius circle if the arc measures 45°.
kirza4 [7]
The area of  sector is calculated by the product of area of the circle and the sector angle. It is expressed as follows:

Area = πr² (α/360)
Area = π(8)²(45/360)
Area = 8π in²

Hope this answers the question. Have a nice day. Feel free to ask more questions.
4 0
3 years ago
Read 2 more answers
Which expression can be used to fine the slope of a line containing the points (-3,2) and (7,-1)
Charra [1.4K]

Hello there! you can use the expression \frac{ y_{1}-y_{2}}{x_{1}-x_{2} }!

To find slope, subtract the y values over the x values.

In this case:

2 - - 1 / - 3 - 7

3 / -10

So, -3/10 would be the slope of these points.

Hope this helps, have a great day!

7 0
4 years ago
Sharon earns $25 per item she sales plus a base salary of $100 per week. Write and solve an inequality to find how many items sh
artcher [175]
$25 per item sold + $100 per week = 700 total goal in 1 week

X is our items sold variable. We only use 100 since our goal is for only one week.
25x + 100 = 700

Subtract 100 from each side.
25x = 600

Divide by 25.
x = 24

HOPE THIS HELPS!!
5 0
4 years ago
"a computer system requires that passwords contain at least one digit. if "seven" characters are generated at random, and each i
PtichkaEL [24]

There are 36^7 different passwords available, incluiding ones that have repeated characters, are sequential characters, or are all the same letter or digit. Of these 26^7 are invalid. the probability of obtaining a valid password is

... 1 - 26^7/36^7 ≈ 0.8975

5 0
3 years ago
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