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Solve x+7 <4 with a line under the less sign

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Danny is 603/4 inches tall . His twin sister is 58 1/8 inches tall.How much taller is Danny than his twin sister.

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Answer:

2 5/8 inches

Step-by-step explanation:

This is a subtraction problem.

You must subtract 58 1/8 inches from 60 3/4 inches.

We need a common denominator for the fractions.

The LCD of 4 and 8 is 8.

60 3/4 = 60 6/8

58 1/8 = 58 1/8

60 3/4 - 58 1/8 = 60 6/8 - 58 1/8 = 2 5/8

Answer: 2 5/8 inches

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A multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered b

yaroslaw [1]

Answer:

Therefore, the probability is P=0.0084.

Step-by-step explanation:

We know that a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.

Because we have 4 choices only one of which is correct, we get that p=0.25 and q=0.75.

We calculate the probability of getting exactly 6 correct answers.

n=9 and k=6.

$P=C_k^n\cdot p^k\cdot q^{n-k}\\\\P=C_6^9\cdot 0.25^6\cdot 0.75^3\\\\P=84\cdot 0.0001\\\\P=0.0084$

Therefore, the probability is P=0.0084.

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