Answer:
I'm guessing the right answer should be B
Answer: 14.8
Explanation: You’re trying to find the hypotenuse using the two legs that you have. The formula to find hypotenuse is a^2+b^2=c^2. You are trying to find c^2. So it would be 10^2+11^2=c^2. 10^2 is 100 and 11^2 is 121 and 100+121 is 221. Then you would square root 221 and get 14.8 for the hypotenuse.
This is impossible to answer without knowing what the sets A and B contain (and what ξ even refers to - universal set?).
However, we have
(A U B)' = A' ∩ B'
so that
(A ∩ B) U (A U B)' = (A ∩ B) U (A' ∩ B') = (A U A') ∩ (B U B')
If ξ is indeed the universal set, then both A U A' = ξ and B U B' = ξ, so we end up with ξ ∩ ξ = ξ.
Answer:
The probability that a performance evaluation will include at least one plant outside the United States is 0.836.
Step-by-step explanation:
Total plants = 11
Domestic plants = 7
Outside the US plants = 4
Suppose X is the number of plants outside the US which are selected for the performance evaluation. We need to compute the probability that at least 1 out of the 4 plants selected are outside the United States i.e. P(X≥1). To compute this, we will use the binomial distribution formula:
P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ
where n = total no. of trials
x = no. of successful trials
p = probability of success
q = probability of failure
Here we have n=4, p=4/11 and q=7/11
P(X≥1) = 1 - P(X<1)
= 1 - P(X=0)
= 1 - ⁴C₀ * (4/11)⁰ * (7/11)⁴⁻⁰
= 1 - 0.16399
P(X≥1) = 0.836
The probability that a performance evaluation will include at least one plant outside the United States is 0.836.
Answer:
300,000 
is bigger
Step-by-step explanation:
10 x 40 = 400
18 x 40 = 720
400 x 720 = 288,000 (area of the bedroom)
300,000 is bigger by 12,000 (so the kitchen is bigger)
