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Luda [366]
2 years ago
11

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fai

l on a one-hour flight is .02. a) What is the probability that both will fail?b) Neither will fail?c) One or the other will fail? Show all steps carefully.
Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
3 0

Answer:

a) 0.0004

b) 0.9604

c) 0.02

Step-by-step explanation:

When trying to find the probability of a sequence occurring you would simply need to multiply the probability of both of those things occurring together. Since the probability of an alternator failing is 0.02 then the probability of both failing would be...

0.02 * 0.02 = 0.0004

Now the probability of an alternator not failing is 0.98 (100% or 1 minus 0.02) therefore, the probability of both failing would be...

0.98 * 0.98 = 0.9604

Finally, the probability of one or the other failing would simply be the same as the probability of a single alternator failing which is 0.02

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1. 3 7/12 (decimal: 3.583333)

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3 years ago
Which ratio is equivalent to the rate<br> 8 meters<br> 1 second<br> ?
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A unit rate where one is in the Denometer, so you would want to divide the bottom by 10.
5 0
2 years ago
A marching band wants to line up for their performance. When they line up in threes there are 2 left over. When they line up in
aliina [53]

Answer:

59 students

Step-by-step explanation:

<em><u>3s+2</u></em>

5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59

<em><u>4s+3</u></em>

7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59

<em><u>5s+4</u></em>

9, 14, 19, 24, 29, 34, 39, 44, 49, 54, 59

<em><u>6s+5</u></em>

11, 17, 23, 29, 35, 41, 47, 53, 59

The smallest number of students there could have been is 59.

4 0
3 years ago
Triangle ABC is similar to triangle WYZ.
LenaWriter [7]

Answer:

∠B

∠Y

Step-by-step explanation:

we know that

In the right triangle ABC

----> opposite side to angle B divided by the adjacent side to angle B

substitute the values

Remember that

If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent

so

∠A=∠W

∠B=∠Y

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4 0
2 years ago
Suppose you are covering your desk (shape below) with paper and want to know how many square inches of paper you need.
zavuch27 [327]

Answer:

a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).

b. 279\ in^2

c. The total area of the figure is 279 square inches.

Step-by-step explanation:

a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,

b. The area of a rectangle can be found using this formula:

A=lw

Where "l" is lenght  and "w" is the width.

 Area of Rectangle A

You can identify that:

l_A=19\ in\\\\w_A=11\ in

Then, its area is:

A_A=(19\ in)(11\ in)=209\ in^2

Area of Rectangle B

You can identify that:

l_B=10\ in\\\\w_B=18\ in-11\ in=7\ in

Then, its area is:

A_B=(10\ in)(7\ in)=70\ in^2

Total area

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c. The total area of the figure is 279 square inches.

3 0
3 years ago
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