Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.
Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.
Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.
Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.
Answer: Probability that Caroline buys fruit, a CD or both is 0.76.
Answer:
z = 189/44
Step-by-step explanation:
The "varies jointly" relationship can be expressed by ...
y = kxz
We can find k from the given values.
40 = k(10)(9)
40/90 = k = 4/9 . . . divide by the coefficient of k
Now we want to find z for given values of x and y. That can be found from ...
y = (4/9)xz
9y/(4x) = z . . . . . multiply by 9/(4x)
Filling in the new numbers, we have ...
z = 9·105/(4·55)
z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)
Answer:
x=33°
Step-by-step explanation:
To solve this, we first must remember that the sum of the interior angles of a triangle must equal 180°.
Since we already know 2 angles, we can simply subtract those from 180° to find our third angle:
180-114-33= 33°.
Answer:
(6, -2)
Step-by-step explanation:
Since <em>x = 4 and y = 3</em>, we can plug that into the second ordered pair: <em>(4 + 2, 3 - 5)</em>
Since 4 + 2 = 6 and 3 - 5 = -2, our new ordered pair is (6, -2)
Answer:
C
Step-by-step explanation:
She needs 1/4 c and 1/2 c (or 1/2 and 1/4, it's the same both ways because it is addition)
A shows 1/2 and 1/4
B shows 2/8 (which can be reduced to 1/4) and 4/8 (which can be reduced to 1/2)
C shows 1/2 and 4/8 (which can be reduced to 1/2)
D shows 4/8 (which can be reduced to 1/2) and 1/4
so the only choice that does not show the correct about of butter (1/2 and 1/4) is answer C (the one in the bottom left corner)