Answer:
74.86% probability that a component is at least 12 centimeters long.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Variance is 9.
The standard deviation is the square root of the variance.
So

Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So



has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.
Answer:
20
Step-by-step explanation:
By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.
Answer:
Answer for 3:
its 6/2 and 3/1 because 6/2 simplified is 3 and 3/1 is 3
Step-by-step explanation:
Answer for 4
box one 1/4
box 2 4/10
box 3 3/4
Answer:
is parallel to 
Step-by-step explanation:
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The complete exercise is: "Is
parallel, perpendicular or neither to 
?
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The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.
First, in order to solve this exercise it is important to remember that, by definition:
1. The slopes of parallel lines are equal.
2. The slopes of perpendicular lines are negative reciprocal.
In this case, you have the following line given in the exercise:
You can identify that "m" and "b" are:

And the other line provided in the exercise is this one:

So, you can identify that:

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.
Answer:
720 inches
Step-by-step explanation:
On her blueprint, which is 1/20 the size of the actual garden
the width of the garden is 36 inches.
What is the width of the actual garden?
Let width of the actual garden = x
1/20 of x = 36
1/20 * x = 36
x = 36 ÷ 1/20
x = 36 * 20/1
x = 720
x = 720 inches
The width of the actual garden = 720 inches