Answer:
a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Step-by-step explanation:
When the distribution is normal, we use 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 question:
a)Less than 19.5 hours?
This is the pvalue of Z when X = 19.5. So
has a pvalue of 0.4013.
40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b)Between 20 hours and 22 hours?
This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So
X = 22
has a pvalue of 0.8413
X = 20
has a pvalue of 0.5
0.8413 - 0.5 = 0.3413
34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Answer:
Step-by-step explanation:
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>
X<3 or X>1
move constant to the right side and change the sign
Answer:
Step-by-step explanation:
Smaller perfect squares near 99 is 81
Larger perfect square near 99 is 100
First step would be to find the two perfect squares that lies between on the number line. I could then think about the number 99 and how close it is to the smaller perfect square and the larger perfect square. That could tell me how far above or below the of the two perfect squares 99 lies on the number line. I could then take the square root of the perfect squares to see how I would estimate the square root of 99. The √99 is almost 10.
81 < 99 < 100
√81 < √99 < √100
8 < √99 < 10
So, √99 is almost 10.
<em><u>ANSWER</u></em>
23 north latitude is <u>Tropic </u><u>of </u><u>cancer</u>
23 south latitude is <u>Tropic </u><u>of </u><u>Capricorn</u>
<em><u>EXPLANATION</u></em>
I don't mean to change your question but in most cases those are basically angles and should be have the operation sign for degrees (°).
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