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MissTica
3 years ago
14

3/4 of a class are girls. 1/3 of the girls wear bows in their hair. What fraction of the class are girls with bows in her hair

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer:

Step-by-step explanation:

1/3 * 3/4 = 1/4

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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
Write an expression from the description. Then
vodka [1.7K]

(-36 ÷ -4) + 9

The expression equals 18.

4 0
3 years ago
StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x minus 1.(x + 12) = 4x – 1
Alika [10]

Answer:

1/2.(x+12)=4x-1

x+12=2(4x-1)

x+12=8x-2

Group like terms

12+2=8x-x

14=7x

Divide both sides by 7

x=2

Step-by-step explanation:

3 0
3 years ago
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in one day a movie rented out 35 comedies. If the ratio of comedies rented action movies rented was 5:2 how many action movies w
aksik [14]
14 35/7 equals 5 so 7x2 equals 14
7 0
2 years ago
Pleaseeeeee help me pleasee
Nikitich [7]

Lol I just needed help with this kinda stuff...

I’m not very caught up with this stuff I feel your pain I’m very sorry if I’m wrong =/

10?

6 0
3 years ago
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