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olganol [36]
3 years ago
7

(b12)3 The simplified expression is

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

b^36

Step-by-step explanation:

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Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?
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Use the Pythagorean theorem:
(\hbox{one leg})^2+(\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\
6^2+6^2=x^2 \\
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\sqrt{6^2 \times 2}=x \\ \sqrt{6^2} \times \sqrt{2}=x \\ 6\sqrt{2}=x

 
The length of the hypotenuse is 6√2 units.
5 0
3 years ago
Jim has to choose between two gym membership plans. Plan a: $50 monthly membership fee and $10 per visit. Plan B: costs $25 mont
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Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46
JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

M = \frac{50463-38737}{2} = 5863

Relating the margin of error with the sample size:

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 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.64.

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.

For this problem, we have that \sigma = 14300, M = 5863. So

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

5863 = 1.645\frac{14300}{\sqrt{n}}

5863\sqrt{n} = 1.645*14300

\sqrt{n} = \frac{1.645*14300}{5863}

(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2

n = 16

The sample size was of 16.

7 0
3 years ago
What is the value of 6 times 7 - 3^2 times 9 + 4^3<br> show work..THX
Kitty [74]

Step-by-step explanation:

6 times7-3^2 times 9+4^3=

(6*(7-3^2))*(9+4^3) =

(6(7-9)) *(9+64) =

(6*-2) (73) =

-12*73

3 0
3 years ago
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