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NeTakaya
3 years ago
13

Box A contains 7 items of which 2 are defective, and box B contains 6 items of which 1 is defective. If an item is drawn at rand

om from each box. Find the probability that both items are non-defective.
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Answer:

P = 25/42

Step-by-step explanation:

We are asked to calculate the probability that if two items are selected from two different boxes, what is the probability that bought are non-defective.

In the first box A, the probability of selecting a non-defective item is 5/7

In the second box B, the probability of selecting a non-defective item is 5/6

Now the probability of selecting 2 items, one from each of the boxes and both are non-defective are as follows;

5/6 * 5/7 = 25/42

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Solve - 3/5 x + 1/5 > 7/20
shusha [124]

Answer:

x< -1/4

Step-by-step explanation:

- 3/5 x + 1/5 > 7/20

Subtract 1/5 from each side

- 3/5 x + 1/5-1/5 > 7/20-1/5

-3/5x > 7/20 -1/5

Get a common denominator

-3/5x > 7/20 -1/5*4/4

-3/5x > 7/20 -4/20

-3/5x> 3/20

Multiply by -5/3 to isolate x

Remember that flips the inequality

-5/3* -3/5 x < 3/20*-5/3

x < -1/4

3 0
3 years ago
Read 2 more answers
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Answer:

y=-x-4

Step-by-step explanation:

y-3=-1(x+1)

y=-x-1-3

y=-x-4

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3 years ago
A baker took 9 hours to bake 6 cakes how long does it take him to bake 1 cake?
AlexFokin [52]

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1.5 hours

Step-by-step explanation:

5 0
3 years ago
Venn diagram ( attached image )
alexandr402 [8]

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

Learn more about Venn Diagrams at

brainly.com/question/24713052

#SPJ10

7 0
2 years ago
Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She
Ghella [55]

Answer:

The correct answer is option (E)

Step-by-step explanation:

Solution to the question

Let us recall from given question that,

H0:p=0.80

Ha:p≠0.80 (which is the two tailed test)

For the p-value we have,

P-value: Let us assume that the null hypothesis is true, then the probability of observing the sample statistics or the  more extreme,

Therefore if p= 0.80, the probability of observing or detecting proportion of samples is of at least 0.84 or at most 0.76 is 0.273.

8 0
3 years ago
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