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3 years ago

The following data show the weight, in ounces, of 10 different bags of candy:

Mathematics

2 answers:

Elden [556K]3 years ago

5 0

Answer:

On average, the weight of a bag of candy varies 2.6 ounces from the mean of 5 ounces.

Step-by-step explanation:

LuckyWell [14K]3 years ago

4 0

B) is correct; on average, each bag of candy has a weight that is 2.6 oz different than the mean weight of 5 oz.

To find the mean absolute deviation, we first find the mean. Find the sum of the data points and divide by the number of data points (without the outlier, 21, in it):
(10+3+7+3+4+6+10+1+2+4)/10 = 50/10 = 5

Now we find the difference between each data point and the mean, take its absolute value, and find their sum:
|10-5|+|3-5|+|7-5|+|3-5|+|4-5|+|6-5|+|10-5|+|1-5|+|2-5|+|4-5| =
5+2+2+2+1+1+5+4+3+1 = 26

We now divide this by the number of data points:
26/10 = 2.6

This is a measure of how much each bag of candy varies from the mean.

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Need help graphing the equation

grandymaker [24]

Answer:

You actually can use Desmos for this

Step-by-step explanation:

1.)Go to Desmos through google

2.) The website is free and you don't need an account

3.) enter in your equation

4.) If it acts up (never has for me) just ask me for help by question :)

6 0

3 years ago

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Alekssandra [29.7K]

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so $z = 1.645$ .

Item a:

The estimate is $\pi = 0.213 - 0.195 = 0.018$ .

The sample size is <u>n for which M = 0.03</u>, hence:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}$

$\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2$

$n = 53.1$

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence $\pi = 0.05$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2$

$n = 751.7$

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

5 0

2 years ago

F(x) = 5x<br> G(x) = 3x + 5

Alja [10]

Answer:

f(g(x)) = 5(3x + 5) = 15x + 25

g(f(x)) = 3(5x) + 5 = 15x + 5

Step-by-step explanation:

Since you didn't say what you were trying to find, I'll give you a couple things you may have been trying to find.

f(g(x)) = 5(3x + 5) = 15x + 25

g(f(x)) = 3(5x) + 5 = 15x + 5

3 0

3 years ago

One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How ma

ankoles [38]

If you already have 4% then that means that the other 48 grams is 96%.
So if you make a proportion with 96/100 and 48/x (x being a stand-in for the answer) you can cross multiply 48 and 100 and divide the end result by 96, which equals 50.
So that means that the answer is 50 grams of protein. Hope this helped!

8 0

3 years ago

Read 2 more answers

What is the factored form of x2 − 4x − 5?

LekaFEV [45]

Factors of -5 are -5 and 1 or 5 and -1

-5 + 1 = -4 so D is the correct answer.

6 0

3 years ago

Read 2 more answers