HELP

100% ©<br> A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The re

Svetradugi [14.3K]

Answer: 35%

Step-by-step explanation:

8 0

2 years ago

A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

Ratling [72]

Answer:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(10.5,0.3)$

Where $\mu=10.5$ and $\sigma=0.3$

We are interested on this probability

$P(X>10.983)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

8 0

2 years ago

In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the s

Law Incorporation [45]

The line is positive because it is going upwards. The y-intercept is positive 3. It can be found by seeing where the line intercepts the y-axis. The slope of the line is 2 and it can be found by using "rise over run."

(I saw the image on another question you had asked. Have a nice day!)

5 0

2 years ago

How do i find out a

drek231 [11]

Answer:

it must be

$\frac{c}{8\pi \: b}$

7 0

2 years ago

What is the best approximation for the circumference of a circle with a diameter of 300 feet

garri49 [273]

Answer:

The answer is C=942.48

Step-by-step explanation:

You would figure this out by using the formula C=2πr.

So let's break this down.

Circumference (C) equals (=) pi (π) times 2 times the radius of the circle.

Since the problem gave you the diameter which is the length from one side of the circle to the other, you have to divide the diameter in half. Which would give you a radius of 150.

Taking the 150 you would multiply 10*2*π.

Which would give you....(drumrollllll)

C=942.48

I hope this helps!!

p.s. have any more questions? Post them and comment the link!♥, Sadie

3 0

2 years ago

Read 2 more answers