Answer:
⅔πx³
Step-by-step explanation:
The formula for the volume of a cone is
V = ⅓πr²h
Let x = radius of base.
Then 2x = height, and
V = ⅓πx²·2x = ⅔πx³
Answer:

Step-by-step explanation:
<em>The options are not given; however, the question can still be answered.</em>
Given
Direct Proportion:
In 20 minutes, y = 250 bottles
Required
Determine the graph
<em>In the first 20 minutes, y = 250</em>
<em>In the next 20 minutes, y = 250 + 250 = 500</em>
<em>In the next 20 minutes, y = 500 + 250 = 750</em>
<em />
This gives a arithmetic sequence:
250, 500, 750, ........
Next, is to determine the equation of the sequence using;

In this case;




Substitute these values in the above formula;

Open Bracket

Collect Like Terms


Hence; the graph that shows the given description is the graph with equation 
Answer:
1. 3
2. 1
3. 2
4. 4
5. 5
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The area (A) of a regular decagon is
A =
perimeter × apothem
perimeter = 10 × 8 = 80 in, thus
A = 0.5 × 80 × 12.3 = 492 in² → D
Answer:
And for this case we want to find this probability:

And we can use the probability mass function and we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest, on this case we now that:
And for this case we want to find this probability:

And we can use the probability mass function and we got: