Given the equation 4(3b + 2)² = 64,
dividing both sides of the equation by 4, we have
(3b + 2)² = 16 and getting the square root of both sides,
(3b + 2) = 4 and (3b + 2) = -4
We can solve for b for each equation and have
3b = 2 | 3b = -6
b = 2/3 | b = -2
Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
Answer:
As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.
Step-by-step explanation:
Mean of the batch:
The mean of the batch is the sum of all values divided by the number of items. So

Mean in the desired interval.
Standard deviation:
Square root of the sum of the difference squared between each term and the mean, divided by the number of items. So

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.
Answer:
A.
Step-by-step explanation:
EF^2=18^2-12^2
EF^2=324-144
EF^2=180
EF=root 180
When you multiply exponents with the same base, you add the exponents.
3+-5+y=-2
-2+y=-2
y=0
Final answer: y=0