Answer:
0.0051 = 0.51% probability that the thickness is less than 3.0 mm
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm.
This means that
(a) Probability that the the thickness is less than 3.0 mm
pvalue of Z when X = 3. So
has a pvalue of 0.0051
0.0051 = 0.51% probability that the thickness is less than 3.0 mm
Answer:
41.8x
Step-by-step explanation:
easy
Answer: x⁴y² + 4x³y + 10x²
This is in standard form because the terms are ordered from the highest degree to the lowest and the individual variables' powers are also decreasing from the left to right.
Step-by-step explanation:
We have the following equation:
-1/3m - 7 = 5
From here, we must clear the value of m.
We have then:
-1/3m = 5 + 7
-1/3m = 12
1/3m = -12
m = - (3) * (12)
m = -36
Answer:
The value of m is:
m = -36