Answer:
Step-by-step explanation:
2.788 x 10^7
so 2.788 x 10 to the power of 7 = 1 mile
Using the t-distribution, it is found that the 95% confidence interval for the mean number of people the houses were shown is (20.1, 27.9).
We have the <u>standard deviation for the sample</u>, hence the t-distribution is used to build the confidence interval. Important information are given by:
- Sample mean of
. - Sample standard deviation of
. - Sample size of
![n = 23](https://tex.z-dn.net/?f=n%20%3D%2023)
The confidence interval is:
![\overline{x} \pm t\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
In which t is the critical value for a <u>95% confidence interval with 23 - 1 = 22 df</u>, thus, looking at a calculator or at the t-table, it is found that t = 2.0739.
Then:
![\overline{x} - t\frac{s}{\sqrt{n}} = 24 - 2.0739\frac{9}{\sqrt{23}} = 20.1](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2024%20-%202.0739%5Cfrac%7B9%7D%7B%5Csqrt%7B23%7D%7D%20%3D%2020.1)
![\overline{x} + t\frac{s}{\sqrt{n}} = 24 + 2.0739\frac{9}{\sqrt{23}} = 27.9](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%2B%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2024%20%2B%202.0739%5Cfrac%7B9%7D%7B%5Csqrt%7B23%7D%7D%20%3D%2027.9)
The 95% confidence interval for the mean number of people the houses were shown is (20.1, 27.9).
A similar problem is given at brainly.com/question/15180581
Answer:
Sure! Your answer is about 315.33.
Step-by-step explanation:
If you want to figure this out by yourself, just open a calculator and do 946 * 0.33. You could also find this by dividing 946 by 3.
<em>Please</em><em> like</em><em> and</em><em> mark</em><em> brainliest</em><em>!</em>
<em>Hope</em><em> it</em><em> helps</em><em>!</em>
Answer:
a. 5 represents the number of calories that come from other ingredients.
b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.
c. <em>c = 5.5</em>
Step-by-step explanation:
We are given the equation:
Where
represents the grams of carbohydrates
27 is the total number of calories that are received by the granola bite.
4 is the number of calories from 1 gram of carbohydrates and
5 is the number of calories that are received from other ingredients.
Answer of Part a:
5 is the number of calories that are received from other ingredients.
Part b:
Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.
So, LHS becomes:
4 \times 8 + 5 = 37 ![\neq RHS\ i.e.\ 27](https://tex.z-dn.net/?f=%5Cneq%20RHS%5C%20i.e.%5C%2027)
4 \times 3 + 5 = 17 ![\neq RHS\ i.e.\ 27](https://tex.z-dn.net/?f=%5Cneq%20RHS%5C%20i.e.%5C%2027)
So, Priya is correct that neither 8 or 3 could be solution.
Part c:
![4c + 5 = 27\\\Rightarrow 4c = 22\\\Rightarrow \bold{c = 5.5}](https://tex.z-dn.net/?f=4c%20%2B%205%20%3D%2027%5C%5C%5CRightarrow%204c%20%3D%2022%5C%5C%5CRightarrow%20%5Cbold%7Bc%20%3D%205.5%7D)
So, solution to the equation is: <em>c = 5.5</em>