Answer:
Step-by-step explanation:
The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.
The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get
and use this to find the variance in the formula:
it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:
![s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}](https://tex.z-dn.net/?f=s%5E2%3D%5Cfrac%7B%288-14%29%5E2%2B%2812-14%29%5E2%2B%2815-14%29%5E2%2B%2817-14%29%5E2%2B%2818-14%29%5E2%7D%7B5%7D)
Squaring this ensures us that we don't end up with zero, which would be useless.
so
which means that the standard deviation is
s = 3.633
(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)
The number of classes Anna can take so the total cost for the month will be the same is 5.
The monthly cost would be $37.50.
<h3>When would the total cost be the same?</h3>
When the monthly cost is equal, both equations would be equal: 7.5x = 5.5x + 10
In order to determine the value of x, take the following steps:
- Combine similar terms: 7.5x - 5.5x = 10
- Add similar terms: 2x = 10
- Divide both sides by 2 : 10 /2 = 5
Monthly cost when the cost is the same: 7.5 x 5 = $37.50
To learn more about cost, please check: brainly.com/question/25711114
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Answer:
The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 35 - 1 = 34
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0322
The margin of error is:
![M = T\frac{s}{\sqrt{n}} = 2.0322\frac{17}{\sqrt{35}} = 5.84](https://tex.z-dn.net/?f=M%20%3D%20T%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%202.0322%5Cfrac%7B17%7D%7B%5Csqrt%7B35%7D%7D%20%3D%205.84)
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 134 - 5.84 = 128.16 calories
The upper end of the interval is the sample mean added to M. So it is 134 + 5.84 = 139.84 calories
The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.
Answer:
Each will receive
of the cake.
Step-by-step explanation:
Let the amount of cake = c
Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.
Number of persons = 3
Part of the cake shared = ![\frac{c}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7B2%7D)
Fraction of the cake shared by each = ![\frac{\text{Amount of cake shared}}{\text{Number of persons who shared}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAmount%20of%20cake%20shared%7D%7D%7B%5Ctext%7BNumber%20of%20persons%20who%20shared%7D%7D)
=
= ![\frac{1}{6}c](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7Dc)
Therefore, fraction of total cake shared by each member will be
of the total amount of cake.
Based on the fact that the snake was placing the mice one - by - one into a jar, this is A. Combining sets.
<h3>What does combining sets entail?</h3>
When sets are combined, it means that numbers from a certain set of variables are combined with those from another set.
The snake had captured the mice separately which means they were in different sets. Putting them into one jar means they are being combined so this is combining sets.
Find out more on number and operations standards at brainly.com/question/20628271.
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