Answer:
14 > -2 (2z + 3)
First you need to distribute the -2 inside the parentheses.
14 > -2(2z) + -2(3)
14 > -4z - 6 -Add 6 to both sides of the equation
14 + 6 > -4z - 6 + 6
20 > -4z -Now divide by -4 on both sides
20 / -4 > -4z / -4
-5 > z
However, when you divide by a negative number, you MUST flip the sign.
So, the answer is:
-5 < z
Hope this helps!
Answer:
x = √5 + 4 , -√5 + 4
Step-by-step explanation:
3(x - 4)^2 = 15
/3 /3 (divide both sides by 3)
----------------------
(x - 4)^2 = 5
(x−4)^2⋅1/2 = ±√5 (take square root of both sides)
x - 4 = ±√5 (add 4 on both sides)
+ +4
-----------------
x = √5 + 4 , x = -√5 + 4
Answer:
256
Step-by-step explanation:
sum of the first n odd number is n^2
if we want to find the sum of of 1 thru 31
to find out how many numbers that is
(1+31)/2 = 32/2 =16
there are 16 numbers
n^2 =16^2 =256
The perimeter should be 144.7 units
We have the sample size, sample mean and the sample standard deviation. Since the population standard deviation is not know, we will use t-distribution to find the confidence interval.
The critical t value for 95% confidence interval and 63 degrees of freedom is 1.998.
The 95% confidence for the population mean will be:

Thus, the 95% confidence interval for the population mean will be (115,123)
So, option A is the correct answer