Answer:
19
Step-by-step explanation:
If events E1 and E2 are mutually exclusive, it means that it is impossible for them to happen together. The probability of the occurrence of one or more of these events is the sum of their individual probabilities. The answer for this item would be,
P(E) = P(E1) + P(E2) + ...
Answer:
The fraction of Nathan's pencils that are yellow without erasers is 1/2.
Step-by-step explanation:
The problem gave us two informations, the first one is the fraction of the total amount of pencils that Nathan has that are yellow, the second one is the fraction of those yellow pencils that don't have erasers. So in order to find the fraction of the total pencils that are yellow pencils without erasers we need to multiply the two fractions that were given to us. So we have:
yellow pencils without erasers = (3/4)*(2/3) = 6/12 = 1/2
Step-by-step explanation:
This is an example of scalar multiplication in matrices.
Just multiply the number outside with each of the number inside for this type of matrix.
That's all.
Answer:

Step-by-step explanation:
Let x minutes be the time spent on skills and y minutes be the time spent on conditioning that Greg can complete this week.
1. To avoid excess fatigue, his coach requires Greg to spend no more than 360 minutes training in any week, then

2. When Greg trains, he either spends 45 minutes on skills or 35 minutes on conditioning. If Greg spends x minutes on skills, then
is the number of skills training sessions. If Greg spends y minutes on conditioning, then
is the number of conditioning training sessions. His schedule this week allows him to complete at most 8 training sessions, then

Therefore, the following system of inequalities can be used to determine the time spent on skills, x, and the time spent on conditioning, y, that Greg can complete this week
