Answer this. It's the area of a trapezoid

The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribut

Iteru [2.4K]

Answer:

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 49

Standard deviation = 9

Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 58?

22 = 49 - 3*9

So 22 is three standard deviations below the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above the mean.

Of those 50% which are below the mean, 99.7% of those are within 3 standard deviations of the mean, that is, greater than 22.

58 = 49 + 9

So 58 is one standard deviation of the mean.

Of those which are above the mean, 68% are within 1 standard deviation of the mean, that is, lesser than 58.

Then

0.997*0.5 + 0.68*0.5 = 0.8385 = 83.85%

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

5 0

3 years ago

a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made

Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

So, The length of box = L' = (L - 6 - 6)

i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

4 0

3 years ago

For the following questions find the other half of the fraction.

valentina_108 [34]

Answer:

1) 3/5= 6/10

2) 3/6= 6/12

3) 4/10= 2/5

4) 3/4= 6/8

5) 5/10 = 1/2

6) 4/6= 8/12

7) 5/5= 10/10

8) 1/2= 6/12

4 0

2 years ago

4 Which of the following is a composite number between 80 ard 100?

Firlakuza [10]

Answer: 90

90 is a composite number because:

4 x 15 = 90

10 x 9 = 90

A composite number has more than two factors.

Hope this helps!

8 0

3 years ago

HELP please I’ll post a picture to make it easier to look at (I made it to get 20 points)!!!

Trava [24]

Answer:

Both expressions are = to 11 when x is 2.

Therefore, the expressions are equivalent.

6 0

3 years ago