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.
L•w=102
l=8w+6
8w+6•w=102
9w+6=102
102-6=96
9w=96
96/9= 10.67
Width is 10.67 yards
Solution: We know that e is numerical constant and is equal to 2.71828.
Therefore log( 6 x 2.71828) = 1.21
The steps 5 and 6 in the construction of a new line segment ensures the lengths are equal.
A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.
Below are the steps for copying a line segment:
- 1. Let's begin with a line segment we need to copy, AB.
- 2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.
- 3. Now we place the the compass pointer on the point A of line segment AB.
- 4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.
- 5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.
- 6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.
- 7. From C, draw a line to D;CD thus formed is equal to AB.
Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.
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