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3 years ago

Solve for x: (5 points)

Mathematics

1 answer:

stiv31 [10]3 years ago

3 0

Answer:

Ima geuss B bec there is no image

Step-by-step explanation:

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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

Help ASAP! I will give brainliest

Neko [114]

Answer: A)1/2

Step-by-step explanation: m = y2-y1/x2-x1

I will use the values (1,2) and (3,3) from the table

1=x1, 2=y1, 3=x2, 3=y2

m = 3-2/3-1

m=1/2

7 0

3 years ago

Is it true that any fraction is in its simplest form if and only if the only common factor of the numerator and denominator is 1

fomenos

Answer:

Yes

Step-by-step explanation:

When the greatest common factor of two numbers is 1 or -1, the numbers are known as relatively prime. This means there are no numbers that can be factored out of both of the numbers, meaning if the numerator and denominator are relatively prime, they can not be simplified any further.

8 0

3 years ago

Multiply. multiply 1 1/2·8 4 1/2 8 1/2 1/2 24

slava [35]

Answer:

Step-by-step explanation:

1 1/2·8 =

3/2*8/1

3/1*4/1=12

7 0

3 years ago

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