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2 years ago

A basketball team played 32 games and won 4 more games than it lost. find the number of games the team won.

1 answer:

8 0

So wins = losses + 4, so losses + losses + 4 = 32. Or 2L + 4 = 32; which solved is 28/2 = 14 losses. And 14 + 4 = 18 wins. And 14+18 = 32

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(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0

Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

$P(A)+P(B)+P(A\cap B)=P(A\cup B)$

We know that

Maximum value of $P(A\cup B)$ =1 and minimum value of $P(A\cup B)$ =0

$0\leq P(A\cup B )\leq 1$

$0\leq P(A)+P(B)-P(A\cap B)\leq 1$

$0\leq 0.4+0.7-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)$

$P(A\cap B)\leq 1.1$

It is not possible that $P(A\cap B)$ is equal to 1.1

$1.1-P(A\cap B)\leq 1$

$-P(A\cap B)\leq 1-1.1=-0.1$

Multiply by (-1) on both sides

$P(A\cap B)\geq 0.1$

Again, $P(A\cup B)\geq P(B)$

$0.4+0.7-P(A\cap B)\geq 0.7$

$1.1-P(A\cap B)\geq 0.7$

$-P(A\cap B)\geq -1.1+0.7=-0.4$

Multiply by (-1) on both sides

$P(A\cap B)\leq 0.4$

Hence, $0.1\leq P(A\cap B)\leq 0.4$

3 0

3 years ago

The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)

svet-max [94.6K]

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

3 0

2 years ago

Dan has a favorite number. His number has the digit 8 in the ones place and 5 in tens place. What is Dan's favorite number.

tino4ka555 [31]

Wouldn't it be 58 or 8.5?

4 0

2 years ago

Read 2 more answers

If X is to 9 as eight is to 12 then x is equal to what'

Tems11 [23]

Answer:

X is 6.

Step-by-step explanation:

What we know:

There's a ratio between 8 and 12, which simplifies to 2/3.

So, to find what x is, just multiply 2/3 times 9, to get 6 as x.

4 0

3 years ago

the corresponding side of two rectangular swimming pools are 66 feet and 44 feet if the perimeter of the larger pool is 198 feet

morpeh [17]

Add them together p= a+b=c

5 0

2 years ago