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nekit [7.7K]
3 years ago
9

Write the absolute value and the opposite values of the numbers listed in the table. 15,-93,56,-87

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

initial value         opposite value             absolute value

15                                -15                                   |15|

-93                                93                                 |93|

56                                 -56                                 |56|

-87                                87                                   |87|

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

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We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

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Step 2

Find the Probability of X ≤ 56

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Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

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We find the Probability of Z = 0.5 from Z-Table:

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Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

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