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3 years ago

Evaluate (solve) the power: 2^9

Mathematics

2 answers:

Gnesinka [82]3 years ago

4 0

Answer:

$512$

Step-by-step explanation:

${2}^{9} \\ 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ 4 \times 4 \times 4 \times 4 \times 2 \\ 16 \times 16 \times 2 \\ 256 \times 2 \\ 512$

Hope this helps you

Can I have the brainliest please?

german3 years ago

3 0

Answer:

The corrext answer is, 512.

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The surface area of what?

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3 years ago

A student council has nine officers, of which six are girls and three are boys. If two officers are chosen at random to attend a

Effectus [21]

Answer: $\frac{1}{4}$

Step-by-step explanation:

Given

Student council has 6 girls and 3 boys

If two person chosen at random

Probability that first officer is girl and second is a boy

$=\text{Probability of choosing a girl officer}\times \text{Probability of choosing a boy officer}$

$=\frac{^6C_1}{^9C_1}\times \frac{^3C_1}{^8C_1}$

$=\frac{6}{9}\times \frac{3}{8}$

$=\frac{1}{4}$

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3 years ago

Three more than the product of two and a number x

Nonamiya [84]

$2x+3$

You are taking two times a number, which is defined as x. That is equivalent to 2x. Then, you are adding three more to that product.

3 0

4 years ago

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The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. T

Anit [1.1K]

Answer:

a) 25

b) 67

c) 97

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. In this problem, $\sigma = 0.25$

(a) The desired margin of error is $0.10.

This is n when M = 0.1. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.1\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.1}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.1})^{2}$

$n = 24.01$

Rounding up to the nearest whole number, 25.

(b) The desired margin of error is $0.06.

This is n when M = 0.06. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.06 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.06\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.06}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.06})^{2}$

$n = 66.7$

Rounding up, 67

(c) The desired margin of error is $0.05.

This is n when M = 0.05. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.05 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.05\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.05}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.05})^{2}$

$n = 96.04$

Rounding up, 97

8 0

3 years ago

The length of a rectangle is 12 in. more than its width. The perimeter is 64 in. Determine the length of the rectangle in inches

Margarita [4]

P = 2(L+W)
L = 12+W
P = 64 inches
64 = 2(12+W+W)
64 = 2(12+2W)
64 = 24+4W
64-24 = 4W
40 = 4W
W = 10 inches
L = 12+W
L = 12+10
L = 22 inches

7 0

3 years ago

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