To solve this, it would be
6x/5 = -6
-30 = 6x
X = -5.
Answer:
MARK AS BRAINLIST
w = 4
L = 7
Step-by-step explanation:
L = length of rectangle
w = width of rectangle
L = 3 + w
A = 28
A = L*w
=(3+w) * w
28 = 3w + w^2
w^2 + 3w - 28 = 0
w^2 + 7w - 4w - 28 = 0
w ( w + 7 ) - 4 ( w + 7 ) =0
( w - 4 ) ( w + 7 ) = 0
w = 4. and w = -7
take the postive value, w = 4
therefore L= 3+4 = 7
5:6 is already at it's simplest form as there are no other common factors to divide it by!
Using the z-distribution, we have that:
- For a 99% confidence level, a sample size of 127 is needed.
- For a 95% confidence level, a sample size of 74 is needed, meaning that a decrease in the confidence level decreases the needed sample size, as M and n are inverse proportional.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
- is the sample mean.
- is the standard deviation for the population.
For a 99% confidence interval, , hence z is the value of Z that has a p-value of , so the critical value is z = 2.575.
The margin of error and population standard deviation are:
Hence we have to solve for n to find the needed sample size, as follows:
n = 126.4.
Rounding up, for a 99% confidence level, a sample size of 127 is needed.
For the 95% confidence interval, we have that z = 1.96, hence:
n = 73.3.
Rounding up, for a 95% confidence level, a sample size of 74 is needed, meaning that a decrease in the confidence level decreases the needed sample size, as M and n are inverse proportional.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1