Answer:
x is greater than or equal to -3
Answer:
45
Step-by-step explanation:
Lets split the problem then add/subtract at the end
3 x 6 = 18
Due to Order of operations we do 2^3 first then multipy by 4
so 2^3 = 8 Then we do 8 x 4 = 32
Now we add/subtract
18 + 32 - 5 = 45
45 is the answer
15. 
Step 1: Distribute the subtraction sign to all the numbers in the second set of parentheses...


Step 2: Combine like terms (
's go with
's)




Step 3: Combine like terms (
's go with
's)




Step 4: Combine like terms (normal numbers go with normal numbers)

1 + 2
3

You were correct!
16. 
I don't really know how to explain this one but I got: (7m-6n)(7m-6n)
Answer:
<u>The final answer is D. 216 x⁶ y⁵</u>
Step-by-step explanation:
Let's simplify the expression, this way:
1. Start with the coefficients:
4 * 2 * 3³
4 * 2 * 27
216
2. Variable x:
We have x * x² * x ³ = x¹⁺²⁺³ = x⁶
x⁶
3. Variable y:
We have y * y * y³ = y¹⁺¹⁺³ = y⁵
y⁵
4. Adding the pieces:
We put coefficients and variables together: 216 x⁶ y⁵
<u>The final answer is D. 216 x⁶ y⁵</u>
Answer:
At sample size of 752 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
What size of sample is needed?
A sample size of n is needed.
n is found when M = 0.03.
We do not have a estimate for the true proportion, so we use
, which is when we are going to need the largest sample size.






Rounding up
At sample size of 752 is needed.