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melomori [17]
3 years ago
15

NO LINKS - PLEASE!

Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

b. 2/15

c. 7/15

Step-by-step explanation:

total frequency = 45

X 0 1 2 3 4 5 6 7

P(x) 1/45 7/45 2/45 1/15 4/45 1/9 2/15 7/45

b. P(≥4) = 18/45 = 2/5

c. P(<3) = 21/45 = 7/15

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Rewrite the expression below.<br><br> -2a( a + b - 5)+ 3 (-5a + 2b) +b (6a + b - 8)
Paul [167]

Answer:

b^2 + 4 a b - 2 b - 2 a^2 + -5 a

Step-by-step explanation:

Simplify the following:

-2 a (a + b - 5) + 3 (2 b - 5 a) + b (6 a + b - 8)

-2 a (-5 + a + b) = 10 a - 2 a^2 - 2 a b:

10 a - 2 a^2 - 2 a b + 3 (2 b - 5 a) + b (6 a + b - 8)

3 (2 b - 5 a) = 6 b - 15 a:

10 a - 2 a^2 - 2 a b + 6 b - 15 a + b (6 a + b - 8)

b (-8 + 6 a + b) = -8 b + 6 a b + b^2:

10 a - 2 a^2 - 2 a b - 15 a + 6 b + -8 b + 6 a b + b^2

Grouping like terms, 10 a - 2 a^2 - 2 a b - 15 a + 6 b - 8 b + 6 a b + b^2 = b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a):

b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)

a b 6 + a b (-2) = 4 a b:

b^2 + 4 a b + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)

6 b - 8 b = -2 b:

b^2 + 4 a b + -2 b - 2 a^2 + (10 a - 15 a)

10 a - 15 a = -5 a:

Answer:  b^2 + 4 a b - 2 b - 2 a^2 + -5 a

8 0
3 years ago
If point B is the midpoint of points A and C, find the value of x and AC. AB= 5x - 2, BC= 9x -10
mars1129 [50]

9514 1404 393

Answer:

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Step-by-step explanation:

The midpoint divides the segment into two equal lengths:

  AB = BC

  5x -2 = 9x -10

  8 = 4x

  2 = x

  AB = 5(2) -2 = 8

  AC = 2AB = 2(8) = 16

8 0
3 years ago
Deshaun started baking at 9:25 AM and finished at 10:41 AM How long did it take him? Give your answer in hours and minutes​
Zepler [3.9K]

Answer:

1 hour and 16 minutes

Step-by-step explanation:

you just have to count up from 9:25 to 10:41 and translate the amount of minutes you counted into hours

7 0
3 years ago
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4 years ago
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How many times does 4 go into 25
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6 times with a remainder of 1 
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