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3 years ago

Find the value of x in the equation 9 – 4x = 57.

1 answer:

8 0

9 - 4x = 57
first u would take away 9 on both sides
9-9 - 4x = 57 -9
-4x = 48
then u would divide 4 on both sides
-4x/4 = 48/4
-x = 12
so if negative x (-x) is 12 then positive x will be -12
x = - 12 is ur answer

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4 years ago

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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

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

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

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

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