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aleksandr82 [10.1K]
3 years ago
9

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. Wh

at is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters? Use the portion of the standard normal table given to help answer the question.
z. Probability
0.00. 0.5000
0.50. 0.6915
1.00. 0.8413
2.00. 0.9772
3.00. 0.9987

0.13%
0.26%
2.3%
4.6%
Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

2.3%

Step-by-step explanation:

The formula to convert x into z distribution is

z=\frac{x-\mu}{\sigma}

Where z is the test statistic

x is what we are looking for (in this case 37)

\mu is the mean (in this case, it is 25)

\sigma is the standard deviation (we have 6)

<em>Plugging these into the formula, we get:</em>

z=\frac{x-\mu}{\sigma}\\z=\frac{37-25}{6}\\z=2

Thus we can say we want P(z\geq 2)

<u>Note: </u> P(z\geq a)=1-P(z\leq a)

The table given is for any  z where P(z\leq a)

Thus, now we have:

P(z\geq 2)\\=1-P(z\leq 2)\\=1-0.9772\\=0.0228\\

0.0228 into percentage is 0.0228 * 100 = 2.28%

Rounded, we get 2.3%

Third answer choice is right.

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Nimfa-mama [501]

Answer:

185/24

Step-by-step explanation:

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105/24+80/24

= 185/24

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A road sign gives drivers information about traffic on busy highways. One sign shows 15 miles in 20 minutes. What is this speed
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Step-by-step explanation:

Since we have given that

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The point (–3, –5) is on the graph of a function. What equation must be true regarding the function?
Komok [63]

The equation that must be true regarding the function is a. f(–3) = –5

<h3>How to explain the information?</h3>

The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?

a. f(–3) = –5

b. f(–3, –5) = –8

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d. f(–5, –3) = –2

The question is what does the point (-3, -5) correspond to on the graph of the function.

If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.

Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.

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Step-by-step explanation:

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Add both numbers and there you have your answer!

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