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Eva8 [605]
2 years ago
8

A locker requires a three-digit code to open the lock. The code must contain one letter and two numbers, and no letter or number

can be repeated. You can choose from among four letters, A, B, C, and D, and two numbers, 5 and 6.
The size of the sample space is


If a code is chosen at random, the probability that it has a letter that immediately follows an odd number is


If a code is chosen at random, the probability that D is in the code but is not in the first position is
Mathematics
2 answers:
mixas84 [53]2 years ago
5 0

A locker requires a three-digit code to open the lock. The code must contain one letter and two numbers, and no letter or number can be repeated. You can choose from among four letters, A, B, C, and D, and two numbers, 5 and 6.

The size of the sample space is: (8, 16, 20, 24)

If a code is chosen at random, the probability that it has a letter that immediately follows an odd number is: (1/8, 1/6, 1/3, 2/5, 2/3)

If a code is chosen at random, the probability that D is in the code but is not in the first position is: (1/8, 1/6, 1/3, 2/5, 2/3)

yanalaym [24]2 years ago
5 0

Answer:

B56 or D65 or B65 or D56

Step-by-step explanation:

a. 36, 26letters + 10 numbers

b. 1/2

c. 1/4

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A basket has y+10 apples, they are divided equally between 5 kids. How many apples did every kid get?​
mezya [45]

Answer:

15+10=15

Step-by-step explanation:

6 0
3 years ago
Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair
umka2103 [35]

Incomplete question. However, let's assume this are feasible regions to consider:

Points:

- (0, 100)

- (0, 125)

- (0, 325)

- (1, 200)

Answer:

<u>Maximum value occurs at 325 at the point (0, 325)</u>

<u>Step-by-step explanation:</u>

Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.

- For point (0, 100): P= 2(0) + 1.5 (100) =150

- For point (0, 125): P= 2(0) + 1.5 (125) =187.5

For point (0, 325): P= 2(0) + 1.5 (325) = 487.5

For point (1, 200): P= 2(1) + 1.5 (200) = 302

Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.

7 0
3 years ago
What is the approximate volume of the cylinder? Use 3.14 for
dlinn [17]

Step-by-step explanation:

it's 452.16 because it's the closest estimate

8 0
3 years ago
The total area of both plots of land is?
VikaD [51]

You have 2x^2 + 9x -9 and 3x^2 -2x +14

To find total area add the two polynomials together by combining the like terms.


2x^2 + 3x^2 = 5x^2

9x + -2x = 9x-2x = 7x

-9 + 14 = 5


Total area = 5x^2 + 7x + 5

7 0
3 years ago
Find the width of a cereal box that has a volume of 2,112 cm^3 and is 22 cm long and 24 cm high.
allochka39001 [22]
Divide 2112 by 24 and 22 to find your answer.

the answer is 4.

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