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3 years ago

11

Round 2.,............................................

1 answer:

Ipatiy [6.2K]3 years ago

3 0

Flip the second fraction and change the fraction into multiplication

Also, change 2 1/2 into a improper fraction

2 1/2 = 5/2

(5/2)/(5/8) becomes 5/2 x 8/5

Multiply across

5 x 8 = 40
------- -----
2 x 5 = 10

Simplify 40/10

40/10 = 4

4 is your answer

hope this helps

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3 years ago

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d) 0.177

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 150 pounds

Standard Deviation, σ = 27 pounds

We are given that the distribution of weight of persons on campus is a bell shaped distribution that is a normal distribution.

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$\bar{x} = \mu = 150\text{ pounds}$

b) standard deviation of the sampling distribution

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{27}{\sqrt{16}} = 6.75$

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d) P(sample of 16 persons on the elevator will exceed the weight limit)

Formula:

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

P(x > 156.25)

$P( x > 156.25) = P( z > \displaystyle\frac{156.25 - 150}{6.75}) = P(z > 0.9259)$

$= 1 - P(z \leq 0.9259)$

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

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0.177 is the probability that a random sample of 16 persons on the elevator will exceed the weight limit.

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3 years ago