Answer:
All the conditions for the chi square test of homogeneity are satisfied.
Step-by-step explanation:
The conditions for the chi square test are
1) the sample is a random sample
2) the variable under study is categorical
3) all expected value of the number of sample observations are greater or equal to 5.
A)The observations must be independent
B) for 2 categories the expected values must be at least 5
C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5
The observations given are independent that is not equally likely i.e do not have equal chances of occurrences or are not dependent on each other.
4) the overall sample must be resonably large that is greater than 50
Answer:
Step-by-step explanation:
On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.
After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.
Therefore we can write the following equation: (Where d = number of days)
B = 10 + 8d
W = 0 + 9d = 9d
We are told that eventually they will sell the same amount which means
B = W
This means we can say,
10 + 8d = 9d
If we subtract 8d from both sides we get
10 = d
Therefore it will take 10 days for them to sell the same amount of cookie dough.
By the inequality for x over on the right side if x is equal to or greater than 2 you use the bottom equation.
G(2) means x is 2.
Using the bottom equation replace the x’s with 2 and solve.
X^3 -9x^2 +27x-25
2^3 -9(2)^2+27(2)-25
Simplify:
8 -36 + 54-25 =1
The answer is A. 1
<u>Given</u>:
Given that the diameter of the hemisphere is 48 inches.
We need to determine the volume of the hemisphere.
<u>Radius:</u>
The radius of the hemisphere can be determined using the formula,
Substituting d = 48, we get;
Thus, the radius of the hemisphere is 24 inches.
<u>Volume of the hemisphere:</u>
The volume of the hemisphere can be determined using the formula,
Substituting r = 24, we get;
Thus, the volume of the hemisphere is 9216π cubic inches.
Answer: taking the bus to work takes 13 minutes longer.
Step-by-step explanation:
It usually took josh 2/5 of an hour to ride his bike to work. This means that the number of hours that it took Josh to ride his bike to work is
2/5 × 60 = 24 minutes
But on Monday, his bike was broken, so he took the bus to work which took 5/8 of an hour. This means that the amount of time that it took Josh spent on the bus to work is
5/8 × 60 = 37.5 minutes
The difference between the time spent riding the bike and time spent on the bus is
37.5 - 24 = 13 minutes
