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:
Step-by-step explanation:
7(p-6)=8p-34
Distribute 7 into the parentheses on the Left Hand Side of the equation
7p-42=8p-34
get p together, so minus 7p on both sides
7p-7p-42=8p-7p-34
7p and -7p cancel out on L.H.S
-42=p-34
isolate p by adding 34 to both sides
-42+34=p-34+34
-34 and postitive 34 cancel out on the R.H.S
p=-8
Hope this helps! :)
Answer:
a
Step-by-step explanation:
Answer:
ab and ac are congruent with each other
By definition, we have that the average rate of change is given by:

Substituting values we have:

Rewriting we have:



Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.
Answer:
graph shows a rate of change of 1/2 is the linear function