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Dvinal [7]
3 years ago
9

Monthly sales of water heaters are normally distributed with a mean of 21 and a standard deviation of 5. What is the probability

of selling 12 water heaters or
less?
a) 3.59%
Ob) 1.8096
O c) 96.41%
O d) 8.45%
Mathematics
1 answer:
mina [271]3 years ago
4 0

Answer:

Option A: 3.59% is the correct answer

Step-by-step explanation:

Z-score is used to calculate the probabilities when mean and standard deviation is given.

Given

Mean = μ = 21

SD = σ = 5

We have to find the probability of selling 12 or less water heaters so our x value is 12

x = 12

The z-score of a value is calculated as:

z-score = (x-μ)/σ

Putting the values

z-score=\frac{12-21}{5} \\=\frac{-9}{5}\\=-1.8

Now z-score table will be used to calculate the probability for z= -1.8

So we will go for the row with -1.8 and column 0, which gives us: 0.03593

As we have to calculate the probability in percentage

=0.03593*100\\= 3.593\%

Hence,

Option A: 3.59% is the correct answer

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frosja888 [35]

Answer:

20-3=17

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17/3 is... 5 and 2/3

Step-by-step explanation:

3 0
3 years ago
The triangle below is equilateral. Find the length of side x in simplist radical form with a rational denominator.
Stolb23 [73]

The most appropriate choice for equilateral triangle will be given by

Value of x = \frac{9\sqrt{3}}{2}

What is equilateral triangle?

A closed two dimensional figure with three sides and three angles is called triangle.

Based on sides of triangle, triangle can be classified as equilateral, isosceles and scalene

The triangle whose all sides and all angles are equal is called equilateral triangle. All the angles of equilateral triangle  are 60°

Here,

Since the triangle is equilateral, angle of triangle is 60°

sin 60° = \frac{x}{9}

\frac{\sqrt{3}}{2} = \frac{x}{9}

x = \frac{9\sqrt{3}}{2}

To learn more about equilateral triangle, refer to the link:

brainly.com/question/2351368

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5 0
1 year ago
The length of a rectangle is four times its width. If the area of the rectangle is 100 ft?, find its perimeter
Sphinxa [80]

Answer:

P = 50 ft

Step-by-step explanation:

A = L*W

If

L = 4W

then

100 = 4W*W

100 = 4W^2

W^2 = 100/4

W^2 = 25

W = 5 ft

Then

L= 4(5)

L= 20 ft

P = 2L + 2W

Then

P = 2(20) + 2(5)

P = 40 + 10

P = 50 ft

Best regards

4 0
3 years ago
A swimming pool at a park measures 8.75 meters by 6.2 . Find the area of the swimming pool.
marissa [1.9K]
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{(12*3)+6}-3^2 divided by (9-6)
Mrac [35]
33. 12*3=36 the u add 6 so it becomes 42. 3^2 is 9 so if u subtract 9 from 42 it becomes 33. 
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3 years ago
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