What is 92.96 in standerd form and scientific notation??

Example 1: Calculation of Normal Probabilities Using ????????-Scores and Tables of Standard Normal Areas The U.S. Department of

Molodets [167]

Answer:

i) 0.872

ii) 0.300

iii) 0.76

iv) 0.704

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $261.50 per month

Standard Deviation, σ = $16.25

We are given that the distribution of monthly food cost for a 14- to 18-year-old male is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(Less than $280)

$P( x < 280) = P( z < \displaystyle\frac{280 - 261.50}{16.25}) = P(z< 1.138)$

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

$P(x < 280) = 0.872 = 87.2\%$

b) P(More than $270)

P(x > 270)

$P( x > 270) = P( z > \displaystyle\frac{270 - 261.50}{16.25}) = P(z > 0.523)$

$= 1 - P(z \leq 0.523)$

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

$P(x > 270) = 1 - 0.700 = 0.300 = 30.0\%$

c) P(More than $250)

P(x > 250)

$P( x > 250) = P( z > \displaystyle\frac{250 - 261.50}{16.25}) = P(z > -0.707)$

$= 1 - P(z \leq -0.707)$

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

$P(x > 250) = 1 - 0.240 = 0.76 = 76.0\%$

d) P(Between $240 and $275)

$P(240 \leq x \leq 275) = P(\displaystyle\frac{240 - 261.50}{16.25} \leq z \leq \displaystyle\frac{275-261.50}{16.25}) = P(-1.323 \leq z \leq 0.8307)\\\\= P(z \leq 0.8307) - P(z < -1.323)\\= 0.797 - 0.093 = 0.704 = 70.4\%$

$P(240 \leq x \leq 275) = 70.4\%$

e) Thus, 0.704 is the probability that the monthly food cost for a randomly selected 14- to 18-year-old male is between $240 and $275.

5 0

3 years ago

which inequality best represents the statement. reduced movie price tickets are available for the following ages (a): children 1

Angelina_Jolie [31]

Answer:

13≥x U x≥65

Step-by-step explanation:

For a customer to have the reduced movie price tickets, they have to be 13 or younger, or 65 or older so I made the inequality, (X is less than or equal to 13) Union (X is greater than or equal to 65)

5 0

3 years ago

Read 2 more answers

A college student is moving onto campus. The student rents a moving truck for $19.95 plus $0.99 per mile. Before returning the t

Lady bird [3.3K]

What is the cost of renting the truck is driven 190 miles? 406 miles?
C(190) = 22 + 0.1*190 = 22 + 19 = $41
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C(406) = 22 + 0.1*406 = 22+40.6 = $62.60
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6 0

4 years ago

*when a very low mental stability and exhaustion makes you forget to put the question

Tamiku [17]

Answer:

5

Step-by-step explanation:

Think of 5 positive things and 9 negative things.

O O O O O

P P P P P P P P P

5 of the positive things will cancel out 5 of the negative things, leaving behind 4 negative things.

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