Answer:
x = -1
Step-by-step explanation:
-2(3x-4)=4(x+3)+6
Distribute
-6x +8 = 4x +12 +6
Combine like terms
-6x +8 = 4x+18
Add 6x to each side
-6x+6x +8 = 4x+6x +18
8 = 10x+18
Subtract 18 from each side
8-18 =10x+18-18
-10 = 10x
Divide each side by 10
-10/10 = 10x/10
-1 =x
2(4x+5)>7x+20 perform indicated multiplication on left side
8x+10>7x+20 subtract 7x from both sides
x+10>20 subtract 10 from both sides
x>10
or in interval notation, x=(10, +oo)
Answer:

Step-by-step explanation:
We want to evaluate:

This is the same as:

We integrate to obtain:

We evaluate to obtain:

Answer:
D. a = 60 and b = 58.8
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Z-score for data point a is 0.
This means that a is the mean, that is, a = 60.
The z-score for data point b is -0.4.
This means that b must be a value below the mean, that is, a value below 60.
The option that satisfies a = 60 and b < 60 is option D, which is the answer.