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Cloud [144]
2 years ago
5

What is 24^3 - 9 + 8? Factorize if possible please!

Mathematics
2 answers:
Ahat [919]2 years ago
5 0

Answer:

13,823

Step-by-step explanation:

laiz [17]2 years ago
3 0

Answer:

13,823

Step-by-step explanation:

24{}^{3} - 9 + 8

=> 13,824-9 +8

=> 13,815 + 8

=> 13,823

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A square field has an area of 479 A2. What is the approximate length of a side of the field? Give your answer to the nearest foo
wariber [46]

Answer:

Step-by-step explanation:

Area of square  = 479

Side² = 479

Take square root both sides

\sqrt{Side^{2}}=\sqrt{479}\\\\Side = 21.88\\\\Side = 22 ft

7 0
2 years ago
Find the sum 112.1+ 1.2
ozzi
112.1 plus 1.2 is 113.3
7 0
2 years ago
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Bob has to pack 192 boxes. This morning, he packed 84 boxes in 312 hours. If Bob continues at the same rate, how long will it ta
kondor19780726 [428]

Answer:

51.69 hours (see explanation)

Step-by-step explanation:

This question is simple once you break it down:

84 boxes in 312 hours is a rate, so it can be shown in fraction form:

84 boxes / 312 hours

Now to figure out how long it takes to unpack those 192 boxes, just multiply:

192 x 84/312

(192 x 84) / 312

16128 / 312

Now, just divide the numbers:

16128 ÷ 312 = 51.69 hours

6 0
3 years ago
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Determine which polynomial is a perfect square trinomial. (5 points)
Pachacha [2.7K]

Answer:

It is 9a2 − 30a + 25 The other answer is a prime number.

( 3a −5)^2

Step-by-step explanation:

8 0
3 years ago
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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
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