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3 years ago

Please help! If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?

Mathematics

1 answer:

Neko [114]3 years ago

3 0

The slope would be 1/3 because it’s intersecting line A :)

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Student scores on exams given by a certain instructor have mean 74 and standard deviation 14. This instructor is about to give t

Lapatulllka [165]

Answer:

$P(\bar X >80)=P(Z>2.143)=1-P(z$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let X the random variable that represent the Student scores on exams given by a certain instructor, we know that X have the following distribution:

$X \sim N(\mu=74, \sigma=14)$

The sampling distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

The deduction is explained below we have this:

$E(\bar X)= E(\sum_{i=1}^{n}\frac{x_i}{n})= \sum_{i=1}^n \frac{E(x_i)}{n}= \frac{n\mu}{n}=\mu$

$Var(\bar X)=Var(\sum_{i=1}^{n}\frac{x_i}{n})= \frac{1}{n^2}\sum_{i=1}^n Var(x_i)$

Since the variance for each individual observation is $Var(x_i)=\sigma^2$ then:

$Var(\bar X)=\frac{n \sigma^2}{n^2}=\frac{\sigma}{n}$

And then for this special case:

$\bar X \sim N(74,\frac{14}{\sqrt{25}}=2.8)$

We are interested on this probability:

$P(\bar X >80)$

And we have already found the probability distribution for the sample mean on part a. So on this case we can use the z score formula given by:

$z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

Applying this we have the following result:

$P(\bar X >80)=P(Z>\frac{80-74}{\frac{14}{\sqrt{25}}})=P(Z>2.143)$

And using the normal standard distribution, Excel or a calculator we find this:

$P(Z>2.143)=1-P(z$

6 0

4 years ago

What is the value of the digit 5 in the number 4,578.364

hichkok12 [17]

Answer:

500

have a nice day!

4 0

3 years ago

Read 2 more answers

Please help for a brainlist ;))

Nuetrik [128]

The answer is option A.

The $50 initial membership fee represents the y-intercept (b), while the $20 monthly membership fee represents the slope (m) of the equation.

6 0

3 years ago

London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie w

juin [17]

Answer:

Plan A is $3 cheaper can Plan B.

Step-by-step explanation:

first equation: 1.5t+9

second equation: .50t+38

Then substiute the 26 for x. So you get 48 for Plan A and 51 for Plan B. Then subtract so you can get 3, for Plan A is three dollars cheaper than Plan B.

7 0

2 years ago

a girl showing half her body gets answered quicker then a math post. all I want is the answer to this and no one helps me sooooo

Gre4nikov [31]

The percent error would be 5.8%.

3 0

3 years ago