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Orlov [11]
2 years ago
11

If 9^(1 - x) =27^Y and x-y equals to -11 / 2 find the value of x + y​

Mathematics
1 answer:
777dan777 [17]2 years ago
8 0

Answer:

x = -2.9

y = 2.6

x+y = -2.9+2.6

= -0.3

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A line segment has a midpoint of (7, 1/2) <br> If one endpoint is (5,3), what is the other endpoint?
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So if 7 is the middle x-value, you calculate how far it is from the given endpoint in order to determine how far it is from the other endpoint. So,

7 -5 =2, so the other endpoint must be 2 away from 7 in the opposite direction, 7+2=9

Then repeat with y,

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

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This means that \pi = 0.25

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

What is the required sample size for the new study?

This is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}

\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2

n = 800.3

Rounding up:

The required sample size for the new study is 801.

4 0
2 years ago
Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours
klasskru [66]

Answer:

If Andrew works for 30 for $4 he will have a total wage of 30×4=$120

And gets additional $5for every hr worked beyond 30hrs in that week

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120+50=$170

If he works for 50 hours he gets Total wage of

5(50-30)=100

120+100=$220

4 0
3 years ago
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