JK and LM are perpendicular diameters of a circle. They are each 12 inches long. What is the approximate length of chord LK?

Which of the following can be used to find the volume of a rectangular prism with length 7.5 centimeters, width 2 centimeters, a

mart [117]

Answer:

C. V = 15 x 4.2
D. V = 7.5 x 2 x 4.2

Step-by-step explanation:

The volume is the product of the three dimensions, so can be figured as ...

7.5 × 2 × 4.2 . . . . choice D

Carrying out the first multiplication, this will be equivalent to ...

15 × 4.2 . . . . . . . . choice C

8 0

2 years ago

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

2 years ago

Number 3 please!!! Best answer I will mark as brainliest

wolverine [178]

A real world problem is considered a problem that can either be A: Solved in any method. B:has words and numbers So you would write for instant Charlie went to the store he bought 7 items that costed 21.99 how much money does he have left after spending it on the items? Can you solve it no you cannot why? Because it doesnt have the amount of money he was allowed to spend thats what missing information is. Now extra information is when there is something in the problem you DO NOT NEED to solve. Hope that helps you out.

3 0

2 years ago

Which of the following Roots would be between 8 and 7

azamat

To find which of the following roots is between "8" and "7" we can calculate the root of which numbers result in 8 and 7. To do this we will power them by 2, this is done because power is the oposite operation to the root. Doing this gives us:

$\begin{gathered} 8^2=64 \\ 7^2=49 \end{gathered}$

So the root of 64 is 8 and the root of 49 is 7. We need to find the number that is between 49 and 64.

From the options the only one that qualifies is 52. The correct option is b.

3 0

7 months ago

What is -64/5 as a mixed number

Slav-nsk [51]

Your answer to the question:

-12 4/5

And then decimal form:

-12.8

8 0

2 years ago