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dusya [7]
3 years ago
14

Find the area of a square with a side measure of 3x − 6 feet. Question 5 options: 9x2−36x+36 sq. ft. 9x2−6 sq. ft. 9x2+36x+36 sq

. ft. 9x2+36 sq. ft.
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0

Answer:

9x^2 - 36x + 36 sq. ft.   (the first option).

Step-by-step explanation:

Area of a square of side  d = d^2.

So area of this square = (3x - 6)^2

=  (3x - 6)(3x - 6)

= 3x(3x - 6) - 6(3x - 6)

= 9x^2 - 18x - 18x + 36

= 9x^2 - 36x + 36 sq ft.

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6 0
3 years ago
A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70
TEA [102]

Answer:

She needs to sample 189 trees.

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.

That 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.

The standard deviation of the population is 70 peaches per tree.

This means that \sigma = 70

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

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

10 = 1.96\frac{70}{\sqrt{n}}

10\sqrt{n} = 1.96*70

Dividing both sides by 10:

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n = 188.2

Rounding up:

She needs to sample 189 trees.

3 0
3 years ago
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