<span> x2 – 12x + 36 = 4
(x - 6)^2 = 2^2
x - 6 = 2
x = 8
-(x - 6) = 2
-x + 6 = 2
-x = -4
x = 4
answer
</span><span>C. {4, 8}</span>
<span>7n + 4 - 5n <= 2(n+2)
Let's simplify these expression first
2n + 4 <= 2(n + 2)
2(n +4) = 2n + 4
The LHS and RHS expressions are the same but the inequality says contrary
Hence 2n + 4 is not less than but equal to 2(n + 2).
7+ 6a >= -4(2-a) - 2a
-4(2-a) - 2a = -8 + 4a - 2a = -8 + 2a. It should be obvious that 7 +6a is greater than the RHS expression.
Suppose a= 2 then we have 7 + 6(2) = 19 while -8 + 2(2) = - 8 + 4 = -4 So it follows that 7 + 6a >= -4(2-4) -2a
4x >= 8. The expression is always true so the equal to option is out.</span>
Answer:
Margret need to get 4 boxes of cookies.
Step-by-step explanation:
Total friends = 3
Cookies each friend will get = 8
Each box has cookies = 6 cookies
How many boxes does Margret need to get?
Total cookies will be= Total friends x Cookies each friend will get
Total cookies will be= 3 x 8 = 24
If one box has 6 cookies and we need total 24 cookies so, divide 24 by 6 to get number of boxes
Number of boxes = Total cookies/ number of cookies in one box
Number of boxes = 24/6
Number of boxes = 4
So, Margret need to get 4 boxes of cookies.
Answer:
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Step-by-step explanation:
A confidence interval for a population proportion is a function of the sample proportion and the margin of error.
The interval has two bounds, a lower bound and an upper bound.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this problem, we have that:
Sample proportion 0.08
Margin of error 0.01
0.08 - 0.01 = 0.07
0.08 + 0.01 = 0.09
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
