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Alexxandr [17]
3 years ago
7

Solve for x. Write your answer as “x=__”

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

Answer:

9x+3x=12x

180/12=15

9 x 15= 135

3 x 15= 45

135+45=180

x=15

Step-by-step explanation:

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3 years ago
Given two independent random samples with the following results: n1=8x‾1=186s1=33 n2=7x‾2=171s2=23 Use this data to find the 90%
KonstantinChe [14]

Answer:

The point of estimate for the true difference would be:

186-171= 15

And the confidence interval is given by:

(186-171) -1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= -10.753

(186-171) +1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= 40.753

Step-by-step explanation:

For this case we have the following info given:

\bar X_1 = 186 the sample mean for the first sample

\bar X_2 = 171 the sample mean for the second sample

s_1 =33 the sample deviation for the first sample

s_2 =23 the sample deviation for the second sample

n_1 = 8 the sample size for the first group

n_2 = 7 the sample size for the second group

The confidence interval for the true difference is given by:

(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}

We can find the degrees of freedom are given:

df = n_1 +n_2 -2 =8+7-2= 13

The confidence level is given by 90% so then the significance would be \alpha=1-0.9=0.1 and \alpha/2=0.05 we can find the critical value with the degrees of freedom given and we got:

t_{\alpha/2}= \pm 1.77

The point of estimate for the true difference would be:

186-171= 15

And replacing into the formula for the confidence interval we got:

(186-171) -1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= -10.753

(186-171) +1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= 40.753

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3 years ago
If 16 to the power of x = 1/64. what is the value of x?
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Answer:

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Mkey [24]

Answer:

It would be 10 dollars

Step-by-step explanation:

6x8=48

58-48=10

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8 - 3(7-4y)
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