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Helen [10]
3 years ago
12

The ratio of girls to boys in a lunchroom is 3 to 4. There are 48 boys. How many girls are there?

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:

there are 36 girls

Step-by-step explanation:

ratio is 3 to 4

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Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of
maksim [4K]

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Out of 100 people sampled, 42 had kids.

This means that n = 100, \pi = \frac{42}{100} = 0.42

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

7 0
3 years ago
Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lage
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Answer:

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Step-by-step explanation:

Let the larger number be represented by x

Let the smaller number be represented by y

from the question, the next equations can be gotten :

x - y = 9  equation 1

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Substitute for x in equation 1

1 + 2y - y = 9

1 + y = 9

Collect like terms

y = 9 - 1

y = 8

Substitute for y in equation 1 and solve for x (the larger number)

x - 8 = 9

x = 9 + 8

x = 17

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Answer:

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Step-by-step explanation:

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3 years ago
Which number is an irrational number?
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The square root of eight 
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