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LenaWriter [7]
2 years ago
8

Find the dimensions of a rectangle

Mathematics
1 answer:
gayaneshka [121]2 years ago
4 0
The length of the shorter side is 7 longer side is 12 7+7+12+12 is 38 and 7x12 is 84
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The data given to the right includes data from ​candies, and of them are red. The company that makes the candy claims that ​% of
Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

n = 39, \pi = \frac{8}{39} = 0.2051

Hence the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0
2 years ago
What percentage of the total hours was spent jogging
hammer [34]

Answer:

Where's the question?

Step-by-step explanation:

6 0
3 years ago
The formula for the area of a triangle is A = W. Shannon is trying to find the
Rashid [163]

Answer:

Did u find the answer for this

Step-by-step explanation:

4 0
3 years ago
The sum of two consecutive odd integers is 236. What is smaller integers
evablogger [386]
I'll say the first integer is x.  The next consecutive odd number would be x+2.  If the sum of the odd integers is 236, the equation would be
x + (x + 2) = 236
solve for x
2x + 2 = 236    
subtract 2 from each side of the equation
2x = 234
divide both sides by 2
x = 117
117 is the first odd integer.  to find the other integer (x + 2), substitute 117 for x, and you have 117 + 2, which equals 119
The two consecutive odd integers that add up to 236 are 117 and 119.
6 0
3 years ago
Miranda bought 6 pounds of almonds. If she puts 3/4 pound of almonds in each bag for a daily snack how many bags can she make?
tatuchka [14]
If Miranda had 6 pounds she would be able to make 8 3/4 bags of almonds.
8 0
3 years ago
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