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ollegr [7]
2 years ago
15

What is the value of 5^3i^9

Mathematics
1 answer:
Tema [17]2 years ago
4 0

Answer:

5^(3)i^(9)= five cubes times i to the power of 9=125i

Step-by-step explanation:

Raise 5 to the power of 3

rewrite i9 as (i^4)2^i

so, you get 125((i^4)^2i)

i^4=1

125(1^2i)

125i

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What is the measure of the missing angle in the figure below?
Aleks [24]
Sum of all interior angles in a triangle = 180
let missing angle = x

x + 144 + 13 = 180
x + 157 = 180
x = 23

answer
23 degrees
7 0
2 years ago
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A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c
Lana71 [14]

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

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{1-0.99}{2} = 0.005

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 1-0.005 = 0.995, so z = 2.575

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.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.06, \sigma = 1.1

0.06 = 2.575*\frac{1.1}{\sqrt{n}}

0.06\sqrt{n} = 2.575*1.1

\sqrt{n} = \frac{2.575*1.1}{0.06}

(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}

n = 2228.6

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

7 0
3 years ago
Dylan has a 32-ounce coffee.He drinks 4 ounces. What is the percentage of ounces left of his coffee?
Semenov [28]

32 \div 100 = 3.125 \\  \\ 3.125 \times 4 = 12.5 \\  \\ 100 - 12.5 = 87.5 \\  \\ 87.5
8 0
3 years ago
What is the area of the wall that will be painted
svp [43]

Answer:

B. 104

Step-by-step explanation:

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6 0
2 years ago
Cora uses 6.2 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is
zhenek [66]

Answer:She used 3.72 pints of blue paints for the wall

Step-by-step explanation:

Total Quantity of Blue and white paint =6.2 pints

Quantity  of White paint =2/ 5 x 6.2 pints = 2.48 pints

Quantity of blue paint =Total Quantity -Quantity  of White paint

=6.2 pints-2.48 pints

=3.72 pints

5 0
2 years ago
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