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3 years ago

2 math questions they can you guys help me

Mathematics

1 answer:

BaLLatris [955]3 years ago

3 0

Answer: 1. The answer is A. 2. The answer is C again

Step-by-step explanation:

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In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there

Elis [28]

Answer:

a) 150 pounds

b) 6.75

c) 156.25

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.

a) expected value of the sample mean of their weights

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

b) standard deviation of the sampling distribution

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

c) average weight for these 16 people will result in the total weight exceeding the weight limit of 2500 points

$\dfrac{\text{Limit}}{\text{Number of people}} = \dfrac{2500}{16} = 156.25$

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,

$P(x > 610) = 1 - 0.823 = 0.177 = 17.7\%$

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

Identify the type of slope each line has. Place your answer under each graph.

mel-nik [20]

-3, 0, 1/2, undefined

if it is going down its negative if it goes up its positive

first one you can tell because each one to the right it goes 3 down

2nd is 0 because there is no slope to it, last one is undefined because it cant be all the numbers when x is -4

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