3.c - 8 = 5
(3.c - product of 3 and a number)
(-8 : 8 less)
Answer:
34.01% probability that his score is at least 532.1.
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:

If 1 of the men is randomly selected, find the probability that his score is at least 532.1.
This is 1 subtracted by the pvalue of Z when X = 532.1. So



has a pvalue of 0.6591
1 - 0.6591 = 0.3409
34.01% probability that his score is at least 532.1.
Answer:
x = (-5)/3
Step-by-step explanation:
Solve for x:
19 - 6 x = 29
Hint: | Isolate terms with x to the left hand side.
Subtract 19 from both sides:
(19 - 19) - 6 x = 29 - 19
Hint: | Look for the difference of two identical terms.
19 - 19 = 0:
-6 x = 29 - 19
Hint: | Evaluate 29 - 19.
29 - 19 = 10:
-6 x = 10
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -6 x = 10 by -6:
(-6 x)/(-6) = 10/(-6)
Hint: | Any nonzero number divided by itself is one.
(-6)/(-6) = 1:
x = 10/(-6)
Hint: | Reduce 10/(-6) to lowest terms. Start by finding the GCD of 10 and -6.
The gcd of 10 and -6 is 2, so 10/(-6) = (2×5)/(2 (-3)) = 2/2×5/(-3) = 5/(-3):
x = 5/(-3)
Hint: | Simplify the sign of 5/(-3).
Multiply numerator and denominator of 5/(-3) by -1:
Answer: x = (-5)/3
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