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3 years ago

Function 1: y = 4x + 5

Mathematics

2 answers:

Dovator [93]3 years ago

6 0

Answer:

The Constant rate of change is 2

Step-by-step explanation:

Evgen [1.6K]3 years ago

4 0

Hey Firestorm1345
function one has a greater rate of change
because function one rate of change is 4 and function 2 rate of change is 2 <span />

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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.

3 0

3 years ago

5 women and 7 men are eligible to serve on a committee. If a committee of 4 is randomly selected, what is the probability that i

rosijanka [135]

Answer:

The required probability is $\frac{14}{33}$ .

Step-by-step explanation:

Probability:

The ratio of the favorable outcomes to the all possible outcomes.

Given that, 5 women and 7 men are eligible to serve on a committee.

A committee of 4 is randomly selected.

Choosing 2 women out of 5 women is

$=^5C_2$

$=\frac{5!}{2!(5-2)!}$

$=\frac{5!}{2!3!}$

=10

Choosing 2 men out of 7 men is

$=^7C_2$

$=\frac{7!}{2!(7-2)!}$

$=\frac{7!}{2!5!}$

=21

Total number of eligible person is = (5+7)=12

Choosing 4 member out of 12 member is

= $^{12}C_4$

$=\frac{12!}{4!(12-4)!}$

=495

The required probability is

$=\frac{10\times 21}{495}$

$=\frac{14}{33}$

7 0

3 years ago

What is 1.4808827 rounded fourdecimal places

tino4ka555 [31]

Answer:

the answer is 1.4809 because you count 4 numbers after the decimal place and the fifth number influences the fourth. remember, if its 4 or below you round down and if its 5 or higher you round up.

4 0

3 years ago

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Aimi is making Valentine’s Day cards for everyone in her class. She plans to use a whole sheet of paper for each of her 6 closes

DaniilM [7]

34 - 6 = 28
28 x 8 = 224

After making the 6 whole sheet of paper cards for her closest friends Aimi will have 28 pieces of paper left.

Since she wants to use 1/8 of a sheet per valentine (think of it as one piece of paper can make 8 valentines) you can do 28 pieces of paper multiplied by 8 which gives you 224 valentines.

8 0

3 years ago

Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsi

AURORKA [14]

Answer:

C -20 -15 -5

F(C) -4 5 23

Step-by-step explanation:

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3 years ago

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