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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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Zigmanuir [339]
P = 2(L + W)
P = 14
W = L - 5

14 = 2(L + L - 5)
14 = 2(2L - 5)
14 = 4L - 10
14 + 10 = 4L
24 = 4L
24/4 = L
6 = L.......the length is 6 inches

W = L - 5
W = 6 - 5
W = 1 <=== the width is 1 inch
7 0
3 years ago
Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212
Elden [556K]

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells.

Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells

<em><u>Answer:</u></em>

Kathie needs more than 5 days to get over 100 shells

The required inequality is 34 + 12d > 100

<em><u>Solution:</u></em>

Given that,

Katie wants to collect over 100 seashells.

She already has 34 seashells in her collection.

Each day, she finds 12 more seashells on the beach

Let "d" be the number of days she takes to cover 100 sea shells

From given statement,

She finds 12 seashells each day

Then for "d" days, the number of sea shells she collected is 12d

She already had = 34

So, the equation can be framed as:

34 + 12d > 100

Here we used "greater than" symbol, since she wants to collect over 100 seashells

Solve the inequality

12d >100-34\\\\12d>66\\\\d>\frac{66}{12}\\\\d>5.5

This means she won't have more than  100 shells until the 6th day

Thus she needs more than 5 days to get over 100 shells

8 0
3 years ago
Read 2 more answers
Bobby makes trail mix for his hiking group. He mixes 1 and one eighth pounds of​ peanuts, 12 ounces of​ raisins, 11 ounces of​ w
KiRa [710]

Answer:

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Step-by-step explanation:

He makes a trail mix . He mixed 1 1/8 pounds of peanuts , 12 ounces of raisins, 11 ounces of walnuts and 7 ounces of pretzels. Notice the weight units are not equal to we have to convert the pounds to ounces so all the weight will be in ounces.

1 pound  = 16 ounces

1 1/8 pounds = ? ounces

cross multiply

1 1/8 × 16

9/8 × 16 = 18 ounces

Therefore,

His trail mix are

18 ounces of peanuts

12 ounces of raisins

11 ounces of walnuts

7 ounces of pretzels

The total weight = 18 + 12 + 11 + 7 = 48 ounces

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If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

4 0
2 years ago
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Hope this helps! Any questions let me know :)
7 0
3 years ago
A dozen box of bagels costs $4.98. Because of inflation the price increases by 4% a year.
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7.50=4.98 (1.04)^t
Solve for t
T=log(7.50÷4.98)÷log(1.04)
T=10 years

Hope it helps:-)
3 0
3 years ago
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