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motikmotik
3 years ago
9

Compare 8 ⋅ 107 to 2 ⋅ 104. Plz Answer 25 Points!!!

Mathematics
2 answers:
Ivahew [28]3 years ago
5 0
8*107 > 2*104  IT'S KINDA LOGIC HERE 8 = 2^3
so 2^3 * 107 > 2*104

for the rest we can divide the two
<u>8*10^7</u>     =    <u> 2^3*10^7</u>     
2*10^4               2*10^4

after simplification we will have  2^2 * 10^3 = 4*1000 = 4000 true
so 8*10^8 is 4 000 times larger than 2*10^4

Shalnov [3]3 years ago
3 0
The answer is the first row.

Explanation:

8 * 10^7 = 80,000,000 -- 2 * 10^4 = 20,000

80,000,000 divided by 20,000 = 4,000, so it is 4,000 times larger

Therefore, the first answer is correct.

Hope I helped and good luck!
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3 years ago
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Factor completely x2 + 20x + 99​
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6 0
3 years ago
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro
Gnom [1K]

Answer:

A sample of 1068 is needed.

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

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

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

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.

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of \pi, so we use the worst case scenario, which is \pi = 0.5

Then

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

0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.03}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}

n = 1067.11

Rounding up

A sample of 1068 is needed.

8 0
3 years ago
Solve the equation. Can you please answer as soon as you can? Thanks!
nikitadnepr [17]

Answer:

Step-by-step explanation:

It’s zero

4 0
3 years ago
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antoniya [11.8K]

Answer:

30°

Step-by-step explanation:

4 0
3 years ago
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