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Ymorist [56]
2 years ago
9

The probability of an engine's failing during a 30 day acceptance test is 0.3 under adverse environmental conditions. Eight engi

nes are included in such a test. What is the probability of the following?
a) None will fail

b)All will fail
Mathematics
1 answer:
NNADVOKAT [17]2 years ago
6 0
This is an example of binomial probability (pass/fail), with n=8 and p(failure)=0.3.

The probability that none will fail is binompdf(8,0.3,0) = 0.0576.
The prob. that all will fail is found by subtracting this result from 1.0000, and is 1.0000-0.0576=0.9424.  "All" is the "complement" of "None."

I used my TI-83 Plus calculator's probability distribution functions to calculate the probability that none will fail.
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Brooke is making a c cylindrical bolster pillow for her couch. The pillow is 18 inches long and has a radius of 5 inches. Determ
gtnhenbr [62]

Answer:

Step-by-step explanation:

The pillow is cylindrical. To determine the amount of fabric needed for the pillow, we would apply the formula for determining the total surface area of a cylinder which is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

radius = 5 inches

Height = 18 inches

Therefore,

Area = (2 × 3.14 × 5²) + 2 × 3.14 × 5 × 18

Area = 157 + 565.2 = 722.2

Amount of fabric needed is

722.2 square inches

7 0
2 years ago
What is the correct answer?
soldier1979 [14.2K]

Answer:

4.5 or 4 1/2

Step-by-step explanation:

First, you multiply 3 * 3

Second, you divide 9 / 2 = 4.5

Lastly, have a beautiful day! :)

6 0
3 years ago
Take the numbers to their prime factorization. Write the final answer in exponential form. (SHOW YOUR WORK)
emmainna [20.7K]

1. 2² times 7¹

2. 2² times 3²

3. 29 is a prime number already

4. 2¹ times 5¹ times 7¹

5. 5¹ times 11¹

6. 3⁴

7. 2³ times 3¹ times 7¹

8. 3² times 11¹

9. 3¹ times 5²

10. 2⁶

4 0
3 years ago
Group Tens as Hundreds
IrinaK [193]

Answer:

Write how many groups of tens there are

Circle groups where there are ten groups of tens

Write how many hundreds there are

Write the total number of tens and hundreds there are

3 0
3 years ago
A square has a perimeter of 8 and one vertex at (2, 2). What could be the location of another vertex of this shape? A) (1, 5) B)
Lunna [17]

Answer:

D) (0,0)

Step-by-step explanation:

It is a square so each side is 2 units because

8/4 = 2

If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.

We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.

So the other point is (0,0)

5 0
3 years ago
Read 2 more answers
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