Answer:
<em>r=3x</em>
Step-by-step explanation:
<u>The Volume of a Cone</u>
The volume of a cone of radius r and height h is:

We are given the volume of a cone is

Equating:

Multiplying by 3:

Simplifying by pi:

Since h=x:

Dividing by x:

Taking square roots:

Thus: r=3x
Answer:
The slope of the dashed line is 
Step-by-step explanation:
Perpendicular lines and slopes:
If two lines are perpendicular, the multiplication of their slopes is -1.
What is the slope of the dashed line
Perpendicular to a line with slope 4, so:


The slope of the dashed line is 
Answer:
We conclude that the population mean is 24.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 24
Sample mean,
= 22.8
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, s = 8.3
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
We calculate the p-value with the help of standard z table.
P-value = 0.1498
Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.
Now,
Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.
Mid term :
Q1 = (88 + 85)/2 = 86.5
Q2 = (92 + 95)/2 = 93.5
Q3 = 100
IQR = Q3 - Q1 = 100 - 86.5 = 13.5
final exams :
Q1 = (65 + 78)/2 = 71.5
Q2 = (88 + 82)/2 = 85
Q3 = (95 + 93)/2 = 94
IQR = Q3 - Q1 = 94 - 71.5 = 22.5
so the final exams has the largest IQR