Answer:
Step-by-step explanation:
You can plug in the 294 for A and solve
Answer:
Step-by-step explanation:
-1/2
Step-by-step explanation:
7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Step-by-step explanation:
We are given that,
The amount of ingredients needed for the trail mix are,
Raisins = \frac{3}{4}
4
3
cup
Peanuts = 1 cup
Chocolate chips = \frac{1}{2}
2
1
cup
Since, Kiran needs to make 10 cups of the trail mix.
The amount of ingredients needed will be,
Raisins = \frac{3}{4}\times 10
4
3
×10 = \frac{30}{4}
4
30
= 7.5 cups
Peanuts = 1 × 10 = 10 cups
Chocolate chips = \frac{1}{2}\times 10
2
1
×10 = 5 cups
Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Let's find the inverse of given function ~
[ now, replace f(x) and x with 
]
That's the required inverse function ~
Answer:
Check Explanation
Step-by-step explanation:
a) Yes, the two events are mutually exclusive. The true meaning of mutually exclusive is that both A1 and A2 have no sample points in common and cannot both occur at the same time.
The only sure mathematical way to tell is from P(A1 n A2) = 0.
Note that this is different from when two events are independent. Two events are independent when the chances of one occurring does not depend on the chances of the other event occurring at all. Independent events can both occur at the same time. Mathematically, independent events are described as P(A1|A2) = P(A1) and P(A2|A1) = P(A2)
b) To solve for P(B)
We use the mathematical definition of the conditional statement
P(B|A1) = P(B n A1)/P(A1)
P(B n A1) = P(B|A1) × P(A1) = 0.2 × 0.4 = 0.08
P(B|A2) = P(B n A2)/P(A2)
P(B n A2) = P(B|A2) × P(A2) = 0.05 × 0.6 = 0.03
P(B) = P(B n A1) + P(B n A2) (especially because A1 and A2 are mutually exclusive)
P(B) = 0.08 + 0.03 = 0.11
Hope this helps!!
