Find the measure of each exterior angle for a regular pentagon. Round to the nearest tenth if necessary.

If the equation of the line is y=-5.9x+91.9 . Which statement is false?

solong [7]

Answer:

. The slope of the line indicates that test score and the time spent watching tv are negatively correlated

5 0

3 years ago

A utility line runs underground through Shayne's rectangular backyard. Shayne is not allowed to dig within 3 feet of the utility

STALIN [3.7K]

Its 272ft sq because if it is the area you can dig then you have to take away the No digging part and multiply the parts where you can dig.

7 0

3 years ago

50 POINTS! + BRAINLIEST! ANSWER ASAP

Llana [10]

C it is 1,-6 jjjjjjjjj

5 0

3 years ago

Read 2 more answers

Consider a parent population with mean 75 and a standard deviation 7. The population doesn’t appear to have extreme skewness or

Aleks04 [339]

Answer:

a) $\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)$

b) Since the sample size is large enough n>30 and the original distribution for the random variable X doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

c) $P(\bar X \leq 77)=P(Z$

d) See figure attached

Step-by-step explanation:

Previous concepts

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".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable of interest. We know from the problem that the distribution for the random variable X is given by:

$E(X) = 75$

$sd(X) = 7$

We take a sample of n=40 . That represent the sample size

Part a

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is also normal and is given by:

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

$\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)$

Part b

Since the sample size is large enough n>30 and the original distribution for the random variable X doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

Part c

In order to answer this question we can use the z score in order to find the probabilities, the formula given by:

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

And we want to find this probability:

$P(\bar X \leq 77)=P(Z$

We can us the following excel code: "=NORM.DIST(1.807,0,1,TRUE)"

Part d

See the figure attached.

8 0

3 years ago

You must reverse the inequality sign when solving this inequality: x + 7 < 4

SSSSS [86.1K]

I'm not 100% sure what you want me to do with this but i hope this helps:

x < -3

or if you want me to flip the sign then the solution becomes

x > -3

7 0

3 years ago