Answer:
b. CHISQ.TEST
Step-by-step explanation:
Notation and previous concepts
A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"
The statistic is given by:

In order to calculate the p value we need to have in count the degrees of freedom , on this case
. And we can calculate the p value would be given by:
But the correct comand is given by:
b. CHISQ.TEST(Actual range, Expected range)
We just need to put in one column the Observed values and in other the expectec values.
I believe the answer is true
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
It is helpful to estimate quotients when the number is very big.
Answer:
Approximately 4.67 feet of fabric is required for one pillow case.
Step-by-step explanation:
We are given the following in the question:
Number of pillow cases to be made by Jenny = 3
Amount of fabric Jenny has = 14 feet
Each pillow case use same amount of fabric.
Amount of fabric used to make 1 pillow case =

Thus, approximately 4.67 feet of fabric is required for one pillow case.