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.
The perimeter of the square is 35.78
The formula for the perimeter of a square using its area is:
P = 4
Answer:
Part A: <em>x = </em>55°
Step-by-step explanation:
<em>Part A Work:</em>
x + 65 = 120
<em>Part B Work:</em>
<em>
</em>The transversal passes through the 2 conforming lines which allows you to use rules such as opposing interior angles. <em>
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<em>hope this helps!</em>
<em>- Kiniwih426</em>
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Answer:
10:40
Step-by-step explanation:
10+10+20=40
10 red cards
(x + 2) = 3
-2 -2
0 1
x = 1
