Answer:
From left to right:
3, 30, 20
Step-by-step explanation:
Start by determining the ratio of yellow to red paint. Use the column where both amounts are given:
yellow to red = 2 to 6 = 1 to 3
2 to 6 the same as 1 to 3 when reduced, by dividing both sides by 2.
This means yellow paint is a third of red paint. Backwards, red paint is three times yellow paint.
To go from yellow to red, do yellow X 3.
To go from red to yellow, do red ÷ 3.
Column 1:
1 X 3 = 3
Column 3:
10 X 3 = 30
Column 4:
60 ÷ 3 = 20
The ratios are:
1 to 3
2 to 6
10 to 30
20 to 60
Answer:
a) 29.23% probability that a randomly selected home run was hit to right field
b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.
(a) What is the probability that a randomly selected home run was hit to right field?
Desired outcomes:
19 home runs hit to right field
Total outcomes:
65 home runs
19/65 = 0.2923
29.23% probability that a randomly selected home run was hit to right field
(b) Was it unusual for this player to hit a home run to right field?
29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
In mathematics, the Laplace transform is an integral transform named after its inventor Pierre-Simon Laplace. It transforms a function of a real variable t to a function of a complex variable s.
Let
be the weight of i-th player.
1. If the mean weight of 4 backfield members on the football team is 221 lb, then

2. If the mean weight of the 7 other players is 202 lb, then

3. From the previous statements you have that

Add these two equalities and then divide by 11:

Answer: the mean weight of the 11-person team is 