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3241004551 [841]
3 years ago
9

The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 91 inches, and a standard d

eviation of 14 inches. what is the probability that the mean annual precipitation during 49 randomly picked years will be less than 93.8 inches?
Mathematics
1 answer:
Vesna [10]3 years ago
4 0
The sample std. dev. will be (14 inches) / sqrt(49), or (14 inches) / 7, or 2 inches.

Find the z score for 93.8 inches:
       93.8 inches - 91.0 inches          2.8 inches
z = ------------------------------------- = ----------------- = 1.4
                    2 inches                         2 inches

Now find the area under the standard normal curve to the left of z = +1.4.

My calculator returns the following:

normalcdf(-100,1.4) = 0.919.  This is the probability that the mean annual precipitation during those 49 years will be less than 93.8 inches.
 
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Alg I Sem 2 Final Comp South Panola MS 2021-2022
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The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let f and g representing the approximate number of viewers, in millions,  x weeks after the tracking begins.

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

Find out more on exponential function at: brainly.com/question/12940982

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What is 347,492 rounded to the nearest ten thousand
34kurt

Answer:350,000

Step-by-step explanation:

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3 years ago
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3 0
3 years ago
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Determine the equation of the line that passes through A(2,-5) and B(6,-3).
yaroslaw [1]

Answer:

y = 1/2x - 6

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - (-5) / 6 - 2

2/4

= 1/2

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-3 = 1/2(6) + b

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5 0
3 years ago
The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.
REY [17]

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

<u>Method 1</u>

From the figure, we can see that:

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  • The dimensions of the cubes are equal
  • The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

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<u>Method 2</u>

From the figure, we can see that:

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  • 2 cubes at the top and 4 at the bottom
  • The dimensions of the cubes are equal
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So, the volume of the shape is

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This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units

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