Answer:
x = - 6 , x = 4
Step-by-step explanation:
the absolute value function always gives a positive value but the expression inside can be positive or negative , that is
2x + 2 = 10 or - (2x + 2) = 10
solving both
2x + 2 = 10 ( subtract 2 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
or
- (2x + 2) = 10
- 2x - 2 = 10 ( add 2 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
Answer:
There is a 25.14% probability that the order will not be met during a month.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean \mu and standard deviation , the zscore of a measure X is given by
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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
.
The order will not be met if . So we find the pvalue of Z when , and subtract 1 by this value.
has a pvalue of 0.7486.
So there is a 1 - 0.7486 = 0.2514 = 25.14% probability that the order will not be met during a month.
The answer would be 25...
Think about it, switch 25 with z
Answer 25 - 3 = 22
Correct
1. 1/8 2. 1/12 3. 2 and 11/12. 4. 2 and 7/8. 5. 1/3