Write an equivalent expression in standard form by

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

8 0

The Standard form: 74

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Suppose the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months. W

rusak2 [61]

Answer:

Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

Z = $\frac{ X - \mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 60 months

$\sigma$ = standard deviation = 8 months

Probability that the calculator works properly for 74 months or more is given by = P(X $\geq$ 74 months)

P(X $\geq$ 74) = P( $\frac{ X - \mu}{\sigma}$ $\geq$ $\frac{74-60}{8}$ ) = P(Z $\geq$ 1.75) = 1 - P(Z < 1.75)

= 1 - 0.95994 = 0.04

Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

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2 years ago

The angle of elevation to the top of a 30-story skyscraper is measured to be 2 degrees from a point on the ground 5,280 feet fro

sammy [17]

We are given an angle of elevation of 2 degrees and distance in the x axis of 5280 feet and we are asked in the problem to determine the height of the building. We use the tangent function to determine the height: that is tan 2 = h / 5280; h is equal then to 184 ft.

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2 years ago

Read 2 more answers

P = Ok ty please please

Mars2501 [29]

Answer:

p = -15

Step-by-step explanation:

-2 = (p+9)/3 multiply both sides by 3 to get rid of fraction

-6 = p + 9 subtract 9 from both sides

-15 = p

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