Answer:
No, the standard deviation for number of pages in a romance novel is six only.
Step-by-step explanation:
First we state our Null Hypothesis, : = 6
and Alternate Hypothesis, : > 6
We have taken these hypothesis because we have to check whether our population standard deviation is higher than what editor hypothesized of 6 pages in a romance novel.
Now given sample standard deviation, s = 9 and sample size, n = 25
To test this we use Test Statistics = follows chi-square with (n-1) degree of freedom []
Test Statistics = follows = 54
and since the level of significance is not stated in question so we assume it to be 5%.
Now Using chi-square table we observe at 5% level of significance the will give value of 36.42 which means if our test statistics will fall below 36.42 we will reject null hypothesis.
Since our Test statistics is more than the critical value i.e.(54>36.42) so we have sufficient evidence to accept null hypothesis and conclude that our population standard deviation is not more than 6 pages which the editor hypothesized.
4/5y + 3(2/5x + 7/5y)...distribute thru the parenthesis
4/5y + 6/5x + 21/5y ...combine like terms
25/5y + 6/5x.....reduce
5y + 6/5x
Answer:
They can be written as a single vector with a magnitude of 13.
Step-by-step explanation:
If two vectors have the opposite direction, they can be subtracted from each other and can be written as one vector. If two vectors have the same direction, they can be added to each other and can be written as a single vector as well.
If vector a with a magnitude of 8 has the same direction as vector b with a magnitude of 5, they can be written as a new vector, vector c in the same direction with a magnitude of 13.
I hope this answer helps.
This is simple. Coordinate form is (x,y) so you would just plug in your values.
2(5)-(1)=11
10-1 does not equal 11, so no it is not a solution.
Answer:
x=-9/28
Step-by-step explanation:
-4(-6x-3)+4x=3
24x+12+4x=3
28x+12=3
28x=-9
x=-9/28