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dem82 [27]
3 years ago
9

The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.

Mathematics
1 answer:
jekas [21]3 years ago
7 0
Let w won games, t tied games, s lose games

s=4w

t=w-5

s+t+w=43

4w+(w-5)+w=43

6w=48

w=7

s=4*7=21 games lost
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When testing hypothesis to make a conclusion, you must find sufficient evident to reject the null hypothesis in favor of the alternative hypothesis. The null hypothesis must fail in order to accept the alternative. Failing to reject is not enough information. Since this is the case then options C and D are false statements and cannot be true. Both state that if you reject the null then the alternative is false or can't be supported. The opposite is true. Option A is also false since you cannot accept the null. You can only fail to reject it. If this is true then the alternative certainly cannot be accepted. Option B must be correct and the statement (thought not listed here) must be true.

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3 years ago
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Suppose you and a friend each choose at random an integer between 1 and 8, inclusive. For example, some possibilities are (3,7),
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Answer and explanation:

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(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)   (2,7) (2,8)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)   (3,7) (3,8)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)   (4,7) (4,8)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)   (5,7) (5,8)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)   (6,7) (6,8)

(7,1) (7,2) (7,3) (7,4) (7,5) (7,6)   (7,7) (7,8)

(8,1) (8,2) (8,3) (8,4) (8,5) (8,6)   (8,7) (8,8)

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The probability is given by,

\text{Probability}=\frac{\text{Favorable outcome }}{\text{Total outcome}}

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b) p(sum of the two numbers picked is < 4)

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The favorable outcome is (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (8,8) = 8

\text{Probability}=\frac{8}{64}

\text{Probability}=\frac{1}{8}

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