Answer: 95% confidence interval would be (26.01,29.39).
Step-by-step explanation:
Since we have given that
n = 50
Mean = 27.7
Standard deviation = 6.12
We need to construct 95% confidence interval for the population.
so, z = 1.96
So, it becomes,

Hence, 95% confidence interval would be (26.01,29.39).
Answer: 72% X 261.27 = 188.11
sales price : $261.27 - $188.11 = $73.16
Answer:
B & C
Step-by-step explanation:
A proportional relationship has a proportionality constant (constant rate of change) and and must cross through the origin (or begin at (0,0). This means it's y-intercept is 0. Each of the options is a linear function. All of the functions have a constant rate of change. Only one as b=0 or 0 as the y-intercept.
B) y=4x has a constant of 4 and passes through the origin.
C) y=7x has a constant of 7 and passes through the origin.
For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.
Alright, let's solve this problem! :)
<u>First we need to subtract 5k from both sides.</u>
3k−5k>12
<u>Then we simplify 3k - 5k to -2k.</u>
-2k > 12
<u>Now we divide both sides by -2.</u>
k < -12/2
<u>Now we simplify 12/2 to 6. </u>
k < -6
✔️Done!
Have an amazing day!