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hammer [34]
2 years ago
7

Find x when 3^x-1=27

Mathematics
1 answer:
beks73 [17]2 years ago
8 0

Answer:

x=4

Step-by-step explanation:

3^(x-1)=27

=>3^(x-1)=3³

=>(x-1)=3

=>x=4

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate
Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.                          

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

\sigma^2 = 484\\\sigma =\sqrt{484} = 22

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get

E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0
2 years ago
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sasho [114]

11. -1

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14. -15

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3 0
2 years ago
Find 1.47 divided by 3.5. Does the answer change if you use a different power of 10 to multiply the dividend and the divisor bef
MrRa [10]
<span>the answer to 1.47 divided by 3.5 is 0.42. When you use different power of 10 to multiply the dividend and the divisor, the answer changes to different multiples of 0.42 in terms of 10. The answer could be 0.042 or 4.2 etc depending on the power of 10 used to multiply the dividend and divisor.</span>
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vladimir1956 [14]
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AveGali [126]

Answer:

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Step-by-step explanation:

Factor the following:

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Factor 2 y^2 out of 6 y^4 + 14 y^3 - 10 y^2:

Answer: 2 y^2 (3 y^2 + 7 y - 5)

5 0
3 years ago
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