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snow_lady [41]
2 years ago
11

The solution set of an inequality is shown below.

Mathematics
1 answer:
DENIUS [597]2 years ago
3 0
B is the correct answer because it shows the solution set of an inequality
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A box contains 11 red chips and 4 blue chips. We perform the following two-step experiment: (1) First, a chip is selected at ran
Scilla [17]

Answer:

P(B1) = (11/15)

P(B2) = (4/15)

P(A) = (11/15)

P(B1|A) = (5/7)

P(B2|A) = (2/7)

Step-by-step explanation:

There are 11 red chips and 4 blue chips in a box. Two chips are selected one after the other at random and without replacement from the box.

B1 is the event that the chip removed from the box at the first step of the experiment is red.

B2 is the event that the chip removed from the box at the first step of the experiment is blue. A is the event that the chip selected from the box at the second step of the experiment is red.

Note that the probability of an event is the number of elements in that event divided by the Total number of elements in the sample space.

P(E) = n(E) ÷ n(S)

P(B1) = probability that the first chip selected is a red chip = (11/15)

P(B2) = probability that the first chip selected is a blue chip = (4/15)

P(A) = probability that the second chip selected is a red chip

P(A) = P(B1 n A) + P(B2 n A) (Since events B1 and B2 are mutually exclusive)

P(B1 n A) = (11/15) × (10/14) = (11/21)

P(B2 n A) = (4/15) × (11/14) = (22/105)

P(A) = (11/21) + (22/105) = (77/105) = (11/15)

P(B1|A) = probability that the first chip selected is a red chip given that the second chip selected is a red chip

The conditional probability, P(X|Y) is given mathematically as

P(X|Y) = P(X n Y) ÷ P(Y)

So, P(B1|A) = P(B1 n A) ÷ P(A)

P(B1 n A) = (11/15) × (10/14) = (11/21)

P(A) = (11/15)

P(B1|A) = (11/21) ÷ (11/15) = (15/21) = (5/7)

P(B2|A) = probability that the first chip selected is a blue chip given that the second chip selected is a red chip

P(B2|A) = P(B2 n A) ÷ P(A)

P(B2 n A) = (4/15) × (11/14) = (22/105)

P(A) = (11/15)

P(B2|A) = (22/105) ÷ (11/15) = (2/7)

Hope this Helps!!!

5 0
3 years ago
Bryan's monthly Netflix subscription costs $10. If he charges it
sergij07 [2.7K]

Answer:

$50

Step-by-step explanation:

If he pays $10 every month, and he pays for 5 months, it would be 10 x 5, which means he would be $50 in debt.

4 0
3 years ago
3/7 + 1/3 is equivalent to
cestrela7 [59]

Answer:

7/21+9/21=16/21

Hope it helps

Have a good day

8 0
3 years ago
Read 2 more answers
I am very confused plz help
prohojiy [21]

Answer:

a  26

b  8  2/3

Step-by-step explanation:

a)  4 1/3 * 6

Change the mixed number to an improper fraction

(3*4+1)/3 *6

13/3 *6

= 78/3

= 26


b)  2 3/5 * 3 1/3

Change the mixed numbers to  improper fractions

(5*2+3)/5   * (3*3+1)/3

13/5 *  10/3

130/15

Top and bottom divide by 5

26/3

Change back to a mixed number

3 goes into 26  8  times  (3*8 =24)   with 2 left over

8 2/3

6 0
3 years ago
What type of number is v5?
scoundrel [369]
The square root 5 is irrational because a square root of a positive number is either an integer or irrational number. Therefore it is irrational.
7 0
3 years ago
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