DE + EF = DF
x - 2 + 6x + 4 = 8x - 2
7x + 2 = 8x - 2
2 + 2 = 8x - 7x
4 = x <===
We are to find P(A' ∩ B).
A' indicates Compliment of A.
Since A and B are independent events, we can use the formula:
P(A' ∩ B) = P(A') x P(B)
P(A') = 1 - P(A) = 1 - 0.4 = 0.6
So,
P(A' ∩ B) = 0.6 x 0.9 = 0.54
So, option A gives the correct answer
Answer:
$280.08
Step-by-step explanation:
Let x represent the number of hamburgers sold, and (x - 55) represent the number of cheeseburgers sold.
Set up an equation:
hamburgers + cheeseburgers = total number of burgers
x + (x-55) = 445
solve for x:
2x - 55 = 445
2x = 445 + 55
2x = 500
x = 500÷2
x = 250
This means 250 hamburgers were sold on Tuesday.
Hope this helps!
-Jabba
Step-by-step explanation:
y = 2kx², where k is a real constant.
We have:
2k(1)² - 2k(3)² = 32 or 2k(3)² - 2k(1)² = 32.
=> 2k - 18k = 32 or 18k - 2k = 32
=> -16k = 32 or 16k = 32
=> k = -2 or k = 2.
When x = -2,
y = 2(-2)(-2)² or y = 2(2)(-2)².
=> y = -16 or y = 16.