Let there be 14x boys and 17x girls. Then there are 31x total students. Since 31x = 7626, x = 246. Then there are 14(246) = 3444 boys and 17(246) = 4182 girls.

i hope this was helpful! :D

6 0

3 years ago

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. A discount brokerage selected a random sample of 64 customers and reviewed the value of their accounts. The mean was $32,000 w

koban [17]

Answer:

The 90% confidence interval is $\$ \ 30313.9< \mu < \$ \ 33686.13$

Step-by-step explanation:

From the question we are told that

The sample size is n = 64

The sample mean is $\= x = \$ 32, 000$

The standard deviation is $\sigma= \$ 8, 200$

Given that the confidence interval is 90% then the level of significance is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha = 10 \%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{ \sigma }{ \sqrt{n} }$

=> $E = 1.645 * \frac{ 8200 }{ \sqrt{64} }$

=> $E = 1686.13$

The 90% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $32000 - 1689.13 < \mu < 32000 + 1689.13$

=> $\$ \ 30313.9< \mu < \$ \ 33686.13$

5 0

4 years ago

Andy has won 12 out of the last 24 tennis matches he has played. If he wants to improve his win record to 70%, which equation co

Vinvika [58]

Answer is A

12+x

____. =0.70

24+x

8 0

4 years ago

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I am not sure how to divide this problem a^3+8/a+2

Lisa [10]

a3+8a+2=a4+2a+8a

There you go ;)

6 0

3 years ago