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iragen [17]
3 years ago
7

In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviatio

n of 3 inches. What is the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth?
Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

0.010

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = 63 inches

μ is the population mean = 70 inches

σ is the population standard deviation = 3 inches

For x shorter than 63 inches = x < 63

Z score = x - μ/σ

= 63 - 70/3

= -2.33333

Probability value from Z-Table:

P(x<63) = 0.0098153

Approximately to the nearest thousandth = 0.010

Therefore, the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth is 0.010.

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25 pts to who ever can help with this question:
pentagon [3]

Answer:

A. 5s+2

B. 8s+8

C. 75

D. 27

Step-by-step explanation:

Is difficult to read the exact expressions. If a mistake is present then fix the number and use the same method.

A. The perimeter of the square is all 4 equal sides added together. The length of a side is \frac{5s+2}{4}. Since there are four sides then:

P= \frac{5s+2}{4}+\frac{5s+2}{4}+\frac{5s+2}{4}+\frac{5s+2}{4} = 5s+2

Adding 1/4+1/4+1/4+1/4=1. This applies here leaving 5s+2 as the answer.

B. The perimeter of the rectangle is all four sides added together. A rectangle has two pairs of equal side so P = 2l+2w.

P = 2(s+9) + 2(3s-5)\\P = 2s+18 +6s-10\\P=8s+8

C. If s=5 then the sum of the two perimeters is:

5s+2+8s+8

5(5)+2+8(5)+8

25+2+40+8

75

D. Subtract the two perimeters by computing s=7:

8s+8 -(5s+2)

8s+8-5s-2

8(7)+8-5(7)-2

56+8-35-2

64-35-2

29-2

27


3 0
3 years ago
Marnie purchased a dining room table and 6 chairs for $1,860.00 before discount and taxes. Kristen purchased a queen bed, dresse
seropon [69]
Add your two totals together,
1860 + 5775 = 7635, next we multiply our answer by 1.082,
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4 0
3 years ago
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Triangle ABC has side length of 8 inches 12 inches and 15 inches which of the following could be the side lengths of a triangle
Step2247 [10]

Answer:

D is the answer

Step-by-step explanation:

3 0
3 years ago
two bike riders ride around in a circular path. The first rider completes one round in 15 minutes and the second rider completes
katrin2010 [14]

Answer:

Rider 1 does one round in 15 min, and will complete another in each consecutive multiple of 15 min

Rider 2 does one round in 18 min, and will complete another in each consecutive multiple of 18 min

Assuming that they start together, they will complete another round together in a time that is both multiples of 15min and 18 min.

Then we need to find the smallest common multiple between 15 and 18.

To smallest common multiple between two numbers, a and b, is equal to:

a*b/(greatest common factor between a and b).

Now, the greatest common factor between 15 and 18 can be found if we write those numbers as a product of prime numbers, such as:

15 = 3*5

18 = 2*3*3

The greatest common factor is 3.

Then the smallest common multiple will be:

(15*18)/3 = 90

This means that after 90 mins, they will meet again at the starting place.

3 0
3 years ago
Please only answer if you 100% sure! Giving brainliest!!
makvit [3.9K]
I believe the first question is B:advertisement

I believe the second question is C: mass-media

I believe the third question is D: all of these are correct

I believe the fourth question is D: incentive

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Hope this helps you have a great day!!!!!!
3 0
2 years ago
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