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3 years ago

I tried finding this one earlier and it didn’t work , so please help again !

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

5 0

Answer:

C. 62

Step-by-step explanation:

All angles in a triangle are equivalent to 180. First find angle C. Which is 64. then subtract that by 180, which is 116. after that we combine like terms then solve for X. Combine like terms: 5x-9=116 X=25 We plug X into angle's A equation. And you get 62. hope this helps :)

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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:

$\sqrt{n} = 1.96*7$

$(\sqrt{n})^2 = (1.96*7)^2$

$n = 188.2$

Rounding up:

She needs to sample 189 trees.

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3 years ago

Each gallon of paint covers 400 square feet. i have to paint one side of a wall that is 8 meters tall and 40 meters long. if a f

tresset_1 [31]

1. You have that:

- Each gallon of paint covers 400 ft².
- One side of a wall must be painted and its dimensions are :is 8 meters tall and 40 meters long.

1 ft=0.3048 m
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2. Each gallon of paint covers 400 ft², then:

400 ft²x0.09290=37.16 m²

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A=8 mx40 m
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4. Therefore, you have:

1 gallon-----37.16 m²
x-----320 m²

x=320x1/37.16
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