Answer:
Step-by-step explanation:
Do you mean 27 units² ?
A cube has six congruent, square faces. Area of one face = (27/6) units²
Length of one edge = √(27/6)
= √(9/2)
= √9/√2
= 3/√2
= 3√2/2 units
Answer:
pictures are in order
Step-by-step explanation:
Answer:
The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).
Step-by-step explanation:
We have to calculate a 96% confidence interval for the proportion.
We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.
The sample proportion is p=0.8.

The standard error of the proportion is:

The critical z-value for a 96% confidence interval is z=2.054.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 96% confidence interval for the population proportion is (0.77, 0.83).
Answer:
r = - 7, r = - 5
Step-by-step explanation:
Given
r² = - 12r - 35 ( add 12r to both sides )
r² + 12r = - 35
To complete the square
add ( half the coefficient of the r- term )² to both sides
r² + 2(6)r + 36 = - 35 + 36
(r + 6)² = 1 ← take the square root of both sides )
r + 6 = ± 1 ( subtract 6 from both sides )
r = - 6 ± 1, thus
r = - 6 - 1 = - 7 or r = - 6 + 1 = - 5