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tatiyna
3 years ago
13

The value of y varies directly with x.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0
12

y=kx
3=k1
3=3 x 1
k=3

y=3x4
y=12
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A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the averag
ahrayia [7]

Answer:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(ZStep-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:

X \sim N(M,4)  

Where \mu=M and \sigma=4

We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(Z

8 0
3 years ago
PLEASE HELP!!!!! I DON'T UNDERSTAND!!
Roman55 [17]

Answer: Pool Size

(in feet) 3.5 ft

Avg Depth 4 ft

Avg Depth 4.5 ft

Avg Depth 5 ft

Avg Depth

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14x28 10,300 11,800 13,200 14,700

15x30 11,800 13,500 15,200 16,900

16x32 13,400 15,400 17,300 19,200

18x36 17,000 19,400 21,900 24,300

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20x40 21,000 24,000 27,000 30,000

22x44 25,400 29,000 32,700 36,300

25x45 29,531 33,750 37,968 42,187

25x50 32,800 37,500 42,200 46,900

30x50 39,375 45,000 50,525 56,250

Step-by-step explanation:I made this chart for you so you can know actually how to multiply the width of the pool.

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3 years ago
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