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Fantom [35]
2 years ago
14

Help me with my math

Mathematics
1 answer:
kumpel [21]2 years ago
3 0

Answer:

in order:

Step-by-step explanation:

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A set of final examination grades in an introductory statistics course is normally​ distributed, with a mean of 77 and a standar
Shalnov [3]

Answer:

0.9007 is the probability that a student scored below 86 on this​ exam.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 77

Standard Deviation, σ = 7

We are given that the distribution of examination grades is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(student scored below 86)

P(x < 86)

P( x < 86) = P( z < \displaystyle\frac{86 - 77}{7}) = P(z < 1.2857)

Calculation the value from standard normal z table, we have,  

P(x < 1.2857) = 0.9007 = 90.07\%

0.9007 is the probability that a student scored below 86 on this​ exam.

7 0
3 years ago
what is the value of the reciprocal of $\frac{-2}{5}$? express your answer as a decimal to the nearest tenth.
olga2289 [7]

The reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.

<h3>What is the Reciprocal of a Number?</h3>

The reciprocal of a number can be described as the inverse of that number. For example, if a is given as a real number, therefore, the reciprocal of a would be 1/a.

Another example is a/b. The reciprocal of a/b is b/a.

Thus, the reciprocal of -2/5 is -5/2.

Expressing this as a decimal, we would have:

-5/2 = 2.5 (nearest tenth).

Therefore, the reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.

Learn more about the reciprocal of a number on:

brainly.com/question/20896748

#SPJ1

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