Answer:
P(X < 80) = 0.89435.
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:

P(X < 80)
This is the pvalue of Z when X = 80. So



has a pvalue of 0.89435.
So
P(X < 80) = 0.89435.
C. 309,058,304
Three hundred nine million is in the millions bracket; wherein, three is in the hundred million place and nine is in the one million place.
fifty-eight thousand is in the thousands bracket; wherein 0 is placed in the hundred thousand place, five is in the ten thousands place, and eight is in the one thousands place.
three hundred four is placed as such because three should be in the hundreds place, 0 is in the tens place, and 4 is in the ones place.
The first one is D because c represents the x and b represents the y. For the second one:
38(2) = 76
180-76 (this is the sum of the unknown measures)
104/2 (finds the measure of each angle)
52
I am unsure of the final one though.
Hope this helps!
Answer:
width = 15
Step-by-step explanation:
a² + b² = c² This the the formula
(PLUG IN)
8² + b² = 17²
64 + b² = 289 (subtract 64 on both sides)
b² = 225 (square root)
b = 15
Hope this helps ya!!
<span>f(x) = 1.5x + 7.6
</span><span>f(1.1) = 1.5(1.1) + 7.6
f(1.1) = 1.65 + 7.6
f(1.1) = 9.25</span>