Answer:
P(x ≥ 30) = 0.3859
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, we have that:
This probability is going to be 1 subtracted by the pvalue of Z when X = 30. So
has a pvalue of 0.6141
1 - 0.6141 = 0.3859
So
P(x ≥ 30) = 0.3859
Answer:
0.4 * 70 is 28
.7 * 40 is 28
Step-by-step explanation:
Both are the same.
To find x you have to put ~ 25+x+15=3x-10 ~ once you have solved for x, you plug it in ~x+15 and once you have that angle do the same to fro letter C and than find the measure for D the same way
i hope this was help
Answer:
5 (x-2) (x²+2x+4)
Step-by-step explanation:
Stating with 5x³ - 40, the want to simplify the x part by extracting the common factor, so
5x³ - 40 = 5(x³-8)
Now to factor x³-8, we can rewrite it in the format x³-2³, right?
And there's a formula to obtain x³-y³, which is the Difference of Cubes formula that goes like this: x³-y³= (x-y)(x²+xy+y²)
So, we apply this formula replacing the y with our value of 2:
x³-2³= (x-2)(x²+2x+2²) = (x-2)(x²+2x+4)
So, overall, we have 5x³ - 40 = 5 (x-2) (x²+2x+4)
