Answer:
39
Step-by-step explanation:
Let a and b represent the first and second digits, respectively.
... a = b -6 . . . . . . the first digit is 6 less than the second
... a + b = 12 . . . . .the sum of digits is 12 (an even number)
Using the expression in the first equation, we can substitute for a in the second equation:
... (b -6) +b = 12
... 2b = 18 . . . . . . add 6, simplify
... b = 9 . . . . . . . . .divide by 2
... a = 9 -6 = 3 . . . . from the first equation
The number is 39.
Answer: -3a - 8
Step-by-step explanation:
(13 a - 5 ) - (16a + 3) = 13 a - 5 - 16a - 3 = -3a -8
20ft, just multiply the width, height, and length, which is 2x2x5
Answer:
34,000 hope it helps
Step-by-step explanation:
Answer:
340
Step-by-step explanation:
The first step is finding the percentage of those who fail within 19 months.
Problems of normally distributed samples can be 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:

The proportion is the pvalue of Z when X = 19. So



has a pvalue of 0.6808.
Jolt is expected to replace 0.6808 of the connectors sold. Out of 500, that is, on average, 0.6808*500 = 340.
Jolt expects to replace, on average, 340 of the connectors sold.