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hichkok12 [17]
2 years ago
11

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.
Mathematics
2 answers:
enot [183]2 years ago
5 0
\mathbb P(X>37)=\mathbb P\left(\dfrac{X-25}6>\dfrac{37-25}6\right)=\mathbb P(Z>2)

Since roughly 95% of a normal distribution lies within two standard deviations of the mean, you know that about 5% lies without, and since the distribution is symmetric, you can expect about 2.5% of the distribution to lie above two standard deviations from the mean. So the probability is about 0.025

If you want more precision, the actual value is closer to 0.0228.
bogdanovich [222]2 years ago
3 0

Answer:

its C 2.3

Step-by-step explanation:

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiii iiiiiiiiiii i i i i ii i i i

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Which statement correctly names the congruent triangles and justifies the reason for congruence? ΔABC ≅ ΔFDE by HL ΔABC ≅ ΔFED b
pishuonlain [190]

Answer: The correct option is ΔABC ≅ ΔFED by SAS

Step-by-step explanation:

Looking at the given diagram,

Side AC = Side DF = 3.2

Side AB = Side FE = 4 units

Angle A = angle F = 72 degrees

Since two sides and one angle are equal, then triangle FED = triangle ABC by SAS(side angle side)

This makes the ratios possible

AB/FE = AC/DF

The HL given means hypotenuse leg. It will not hold because the triangles are not right angle triangles.

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2 years ago
The frequency of a wave traveling through the air of a hot, dry desert is 1,200 hertz. Its wavelength is 0.300 meters. What is t
nekit [7.7K]
speed=frequency*wavelength

Given
frequency=1200\ Hz
and
wavelength=0.300\ m
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speed=1200\ Hz*0.300\ m=360\ m/s
8 0
2 years ago
Write an equation perpendicular to x-4y=20 that passes through the point 2,-5
marshall27 [118]

Answer:

  4x +y = 3

Step-by-step explanation:

Perpendicular lines have slopes that are the negative reciprocals of one another. When the equation of the line is written in standard form like this, the equation of the perpendicular line can be written by swapping the x- and y-coefficients and negating one of them. Doing this much would give you ...

  4x +y = (constant)

Note that we have chosen to make the equation read 4x+y, not -4x-y. The reason is that "standard form" requires the leading coefficient to be positive.

Now, you just need to make sure the constant is appropriate for the point you want the line to go through. So, it needs to be ...

  4(2) +(-5) = constant = 3

The line of interest has equation ...

  4x + y = 3

3 0
2 years ago
Write an addition equation that can help you find 9-6. Explain your answer.
iren [92.7K]
9+(-6) I think that this might work.
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2 years ago
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Answer:

85

Step-by-step explanation:

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2 years ago
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