Answer:
B
Step-by-step explanation:
Two numbers are relatively prime when there is no integer greater than one that that is a factor of both of them.
A: 15 and 21 both have a factor of 3.
<u>B</u>: 24 and 49 have no common factors, and therefore, are relatively prime.
C. 35 and 135 both have a factor of 5.
D: 45 and 102 both have a factor of 3.
Answer:
The probability of scoring fewer than 5 runs when they win is P = 0.19
How to find the probability?
We know that:
The probability of winning a game is p = 0.53
The probability of scoring 5 or more runs is q = 0.59
The probability of winning and scoring 5 or more runs is k = 0.43
Notice that the joint probability is different than the product of the individual probabilities, this means that the events are not independent.
So, we know that the probability of winning is 0.53
Now, given that they win, the probability of scoring 5 or more times will be q' such that:
0.53*q' = 0.43
q' = 0.811
This means that when they win, the probability of scoring more than 5 times is 0.81
Then the probability of scoring less than 5 times when they win is 1 minus the above probability:
P = 1 - 0.81 = 0.19
The probability of scoring fewer than 5 runs when they win is P = 0.19
Answer:
x=5
Step-by-step explanation:
You first have to distribute. So multiply the 3 with whats inside the parenthesis. So 3 times 2x is 6x. And 3 times -3 is -9. That means that so far you have 6x-9. Now on the other side you have 4x+1. So you move the 9 over to the other side by doing the opposite of it. Meaning +9. So you add 9 to 1 giving you 10. Now you have, 6x=4x+10. Just subtract 4x from 6x, which gives you 2x. Lastly, you divide the 10 by 2x because division is the opposite of multiplication
Step-by-step explanation:
2x+3y=13..........(I)
2x-3y=5.….........(II)
Subtract equation II from equation I
0+6y=8
6y=8
y=8/6=4/3
Substitute 4/3 for y in 2x-3y=5
2x-3×(4/3)=5
2x-4=5
Collect like terms
2x=4+5
2x=9
x=9/2
Therefore,y=4/3,x=9/2
Answer:
Step-by-step explanation: