Answer: second option.
Step-by-step explanation:
The formula for calculate the area of a square is:
Where "s" is the lenght of any side of the square.
You know that the square grass field is 75 meters long and they plan to reduce the side lengths of the grass field by 5 meters each week and the number of weeks is "t", then, the area after "t" weeks will be:
Substituting you get that the function that can be used to calculate the area of the grass field, "A" after "t" weeks is:
This matches with the second option.
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.
Answer:
C. -2
Step-by-step explanation:
You can use the formula:
(-2, 5) & (3, -5)
The slope is C. -2
Answer:
The equation of the line is
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
we have
(-2,11) and (9,22)
substitute
step 2
Find the equation in slope intercept form
where
m is the slope
b is the y-intercept
we have
substitute in the equation and solve for b
Adds 2 both sides
The equation of the line is