10 & 12
x = 1st consecutive even number
x + 2 = 2nd consecutive even number
x + x + 2 = 22
2x + 2 = 22
2x = 20
x = 10
x + 2 = 12
10 and 12 are the two consecutive even numbers
Answer:
Step-by-step explanation:
<u>Given system:</u>
<u>Multiply the first equation by 7 and add up the equations:</u>
- -7x + 7y + 7x + 3y = 7*8 - 16
- 10y = 40
- y = 4
<u>Find y:</u>
When you multiply two numbers which have the same sign the answer is positive. Therefore multiply eight and three to get 24 and the answer is positive; therefor the answers 24.
Answer:
8
Step-by-step explanation:
You are given the hypotenuse and one leg of a right triangle, and are being asked to find the other leg. The Pythagorean theorem applies.
TW² + TY² = WY²
TW² = 17² - 15² = 64
TW = √64
TW = 8
P(A|B)<span>P(A intersect B) = 0.2 = P( B intersect A)
</span>A) P(A intersect B) = <span>P(A|B)*P(B)
Replacing the known vallues:
0.2=</span><span>P(A|B)*0.5
Solving for </span><span>P(A|B):
0.2/0.5=</span><span>P(A|B)*0.5/0.5
0.4=</span><span>P(A|B)
</span><span>P(A|B)=0.4
</span>
B) P(B intersect A) = P(B|A)*P(A)
Replacing the known vallues:
0.2=P(B|A)*0.6
Solving for P(B|A):
0.2/0.6=P(B|A)*0.6/0.6
2/6=P(B|A)
1/3=P(B|A)
P(B|A)=1/3
