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Mumz [18]
3 years ago
5

I dont understand this can someone help me

Mathematics
2 answers:
LiRa [457]3 years ago
8 0

Answer:

B

Step-by-step explanation:

kobusy [5.1K]3 years ago
8 0
The answer is B (10'12)
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The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 5
Karolina [17]

a. The probability that on a randomly selected day, the jail population

is greater than 750,000 is 20.1%

b. The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Step-by-step explanation:

The given is:

1. The average daily jail population in the United States is 706,242

2. The distribution is normal and the standard deviation is 52,145

3. We need to find the probability that on a randomly selected day,

    the jail population is greater than 750,000

4. We need to find the probability that on a randomly selected day,

    the jail population is between 600,000 and 700,000

a.

At first find z-score

∵ z = (x - μ)/σ, where x is the score, μ is the mean and σ is the standard

   deviation

∵  x = 750,000 , μ = 706,242 and σ = 52,145

∴ z = \frac{750,000-706,242}{52,145} ≅ 0.84

Use the normal distribution table of z to find the area to the right of

the z-value

∵ The corresponding area to z-score of 0.84 is 0.79955

- But we are interested in x > 750,000, we need the area to the

  right of z-score

∴ P(x > 750,000) = 1 - 0.79955 = 0.2005

∴ P(x > 750,000) = 0.2005 × 100% = 20.1%

The probability that on a randomly selected day, the jail population is

greater than 750,000 is 20.1%

b.

We will find z-score for 600,000 < x < 700,000

∵ z = \frac{600,000-706,242}{52,145} ≅ -2.04

∵ z = \frac{700,000-706,242}{52,145} ≅ -0.12

Use the normal distribution table of z to find the area between

the two z-values

∵ The corresponding area to z-score of -2.04 is 0.02068

∵ The corresponding area to z-score of -0.12 is 0.45224

- To find P(600,000 < x < 700,000) subtract the two values above

∴ P(600,000 < x < 700,000) = 0.45224 - 0.02068 = 0.4316

∴ P(600,000 < x < 700,000) = 0.4316 × 100% = 43.2%

The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

5 0
3 years ago
If EFGH is a parallelogram, what is the value of x?
Leokris [45]
To be a parallogram the 2 angles shown need to equal 180 degrees
 
so we have: 34 + (4x-2) = 180

 now we can solve for x

34 + 4x -2 = 180

simplify the left side by subtracting 2 from 34

32+4x =180

subtract 32 from each side:

4x = 148

divide both sides by 4 to get x

x = 148 / 4 

x = 37 

The answer is B





5 0
3 years ago
Tomas drew a rectangle with an area of 6 square centimeters. What is the greatest possible perimeter for this rectangle.
Delvig [45]
6 by 1.

This is the greatest because it makes 14 (6+6+1+1), which is greater than 3 by 2, which is only 10. (3+3+2+2)

Hope this helps!
8 0
3 years ago
Evaluate 4r(t – v) if r = 3, t = 5, and v = 2.
V125BC [204]
4r(t-v) r=3, t=5, and v=2
4*3(5-2)
12(3)
36
7 0
3 years ago
Read 2 more answers
Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the b
Aneli [31]

Answer:

The volume is 2140.98 inches³

Step-by-step explanation

The basketballs are spherical, and it is known that the volume of a sphere is

V = \frac{4}{3}\pi r^{3}

Where V is the volume of the ball and r is its radius


They tell us that the ball measures 8.8 inches wide. This means that its diameter is 8.8 inches.

It is known that the radius of a sphere is equal to half its diameter.

Therefore, the radius r of the ball is:

r = \frac{8.8}{2}

r = 4.4 inches.

Then, they tell us to consider that the walls of the ball are infinitely thin, which means that we should not take into account their thickness in the calculation of the volume.

We already have all the data we need, now we proceed to calculate the volume.

V = \frac{4}{3}\pi(4.4)^{3}\\V = 356.83 inches^{3}

Where V is the volume of only one of the balls

The volume of the six balls is V = 6 * 356.83 = 2140.98 inches³

Finally the volume is 2140.98 inches³

4 0
2 years ago
Read 2 more answers
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