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2 years ago

The ratio of boys to girls in the gym was 4 to 5. How many boys were in the gym if there were 125 girls in the gym?

Mathematics

1 answer:

Anna007 [38]2 years ago

8 0

Answer:

If there are 125 girls, and the ratio is boys to girls, then you can divide 125 by 5 to get the multiplication factor. This would be 25. Now you can multiply 25 by 4 to get how many boys were in the gym, which would be 100. To get back to your original ratio, you can divide 100/125 by 25 on top and bottom to get 4:5, or 4/5. :)

Step-by-step explanation:

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Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The sta

Nonamiya [84]

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

Sample mean of $\overline{x} = 146$ .

Population standard deviation of $\sigma = 12$ .

Sample size of $n = 65$ .

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:

$\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143$

$\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149$

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at brainly.com/question/16807970

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