Answer:

Step-by-step explanation:
Given


Required
Determine MSE
This is calculated as:

Where:

denominator df
So, we have:


To calculate the df, we have:
--- observations
treatments
So:




So, we have:



Answer:

Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula

where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem

substitute

simplify



Answer:
Each boy recieved $25.25 each
Step-by-step explanation:
First, you add up all the money the 3 boys spent.
15+15+15=45
Then you add the sum of the equation to the amount all the boys had afterward.
45+30.75=75.75
Finally, you divide that product to 3 boys.
75.75/3=25.25
Therfore the answer is $25.25 each.
Answer:
0.150,0.595
Step-by-step explanation:
Given that at a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump regular, 30% pay at least $30. Of those who pump midgrade, 50% pay at least $30. And of those who pump premium, 60% pay at least $30.
Regular gas Midgrade Premium gas Total
Percent 40 35 25 100
atleast 30 30% 50% 60%
a) The probability that the next customer pumps premium gas and pays at least $30
=
b) the probability that the next customer pays at least $30
= P(regular and pays atleast 30%)+P(premium and pays atleast 30%)+P(midgrade and pays atleast 30%)
=
The length is 10
i showed my steps on the picture attached
hope this helps :)