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3 years ago

Two thirds of the money in my pocket is 50 cents. a, what is one third of the money in my pocket

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

Answer:

25 cents

Step-by-step explanation:

1.) Set up an equation you can solve from the wording of the question:

(2/3)*m = 50, where "m" represents the money in your pocket.

2.) Solve for that equation:

m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents

3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:

75*(1/3) = 25

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Answer:

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Step-by-step explanation:

$p_1$ represent the real population proportion for 1

$\hat p_1 =\frac{22}{165}=0.13$ represent the estimated proportion for 1

$n_1=165$ is the sample size required for 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =\frac{14}{140}=0.10$ represent the estimated proportion for 2

$n_2=140$ is the sample size required for 2

$z$ represent the critical value for the margin of error

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For the 99% confidence interval the significance is $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , and the critical value using the normal standard distribution.