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Anastaziya [24]
3 years ago
13

A shipment of 24 electric typewriters are rejected if 3 are checked for defects and at least 1 is found to be defective. Find th

e probability that the shipment will be returned if there are actually 6 typewriters that are defective.
Mathematics
1 answer:
Maslowich3 years ago
8 0

Answer:

You keep them if you test 3 and all pass.

There are 18 good ones and 6 bad (making 24)

Chance of first passing is 18/24

If it passes, there are now one less good and one less total.

Chance of second passing is 17/23

If it passes, there are now one less good and one less total.

Chance of second passing is 16/22

Total is (16 x 17 x 18) / (22 x 23 x 24) = about 0.4 (0.403162055 is you really want to know).

So probability all are ok is 0.4

Thus probability you find at least one bad one is 0.6

Hope this helps you out!

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Answer:

3/8

Step-by-step explanation

Convert 3/4 to 6/8 to make it easier subract since this problem asks how much he has left.

So 6/8-3/8=3/8

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hope this helps you dear friend.

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Solve for b, then solve for each angle in the triangle
lesya692 [45]

We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

b+2b+(b+16)=180

then, solving for b, we get:

\begin{gathered} b+2b+(b+16)=180 \\ \Rightarrow4b+16=180 \\ \Rightarrow4b=180-16=164 \\ \Rightarrow b=\frac{164}{4}=41 \\ b=41 \end{gathered}

now that we have that b = 41, we can find the measure of each angle:

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7 0
8 months ago
Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same ro
nydimaria [60]
The key is Esther travelled the same distance - x - in both her morning and evening commute.

45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x

Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.

Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.

Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.

45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.

<span>Hope that makes a little sense. And I also hope it's right</span>
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Find the value of two numbers if their sum is 12 and their difference is 4.
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Answer:

8 and 4

Step-by-step explanation:

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