Answer:
<u>The volume of the container is 37.7 cubic inches and the equation is π * r² * h/3, where r is the radius and h is the height of the cone.</u>
Step-by-step explanation:
Let's recall that the formula for finding out the volume of a cone is:
Volume of a cone = π * r² * h/3
Replacing with the real values, we have:
diameter = 4 inches ⇒ radius = 2 inches
Volume of a cone = 3.1416 * 2² * 9/3
Volume of a cone = 3.1416 * 4 * 3
Volume of a cone = 37.7 cubic inches
Answer:
(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
By the Central Limit Theorem
The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.
Answer:

Step-by-step explanation:
Given

Required
Determine the value of T

Multiply both sides by 2


Divide through by 6




Answer:
Having 2 meters and 25 meters legs and 3 meters and 30 meters legs.
Step-by-step explanation:
Priya thinks that an angle of elevation of 7 Degrees or less will be safe for a learner of bike riding.
Now, a 7-degree elevation angle in a right triangle will have a 3 : 25 ratio of its legs.
Therefore, the list of 2 right triangles that would be safe for a new rider will be having 2 meters and 25 meters legs and 3 meters and 30 meters legs.
I both cases the angle of elevation will be less than 7 degrees. (Answer)
Answer:
Inverse of a function
Step-by-step explanation:
If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.
For example, given the following function:
y = 2x
If x=0 → y= 0
If x=1 → y= 2
If x=2 → y= 4
Now, if we find the inverse of the function:
y = 2x → x = 2y → y = x/2
Now:
If x=0 → y= 0
If x=2 → y= 1
If x=4 → y= 2
Comparing both cases, you will notice that the ordered pairs are effectively interchanged.