Answer:
Correct choice is A.
Step-by-step explanation:
We have to find about which of the given choices is the formula for the volume of a pyramid with base area B and height h.
We know that formula of volume of pyramid is given by:
Plug the given values
So the correct choice is A.
5896
<h2>Step-by-step explanation:</h2>Given data set:
6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896
To calculate the 30th percentile;
<em>i. Rearrange the given data set in ascending order.</em>
5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381
<em>ii. Use the following formula to get the index of the value at the 30th percentile.</em>
N = p(n)
<em>Where;</em>
N = the number of data points at or below the intended percentile.
p = the intended percentile.
n = the number of points in the data.
<em>In this case;</em>
p = 30 percent = 0.3
n = 14
<em>Substitute these values into the equation;</em>
N = 0.3(14)
N = 4.2
<em>iii. From the calculated index, find the value of the 30th percentile.</em>
If the index is a whole number x, the desired percentile is the average of the values at index x and x+1.
For example if the index is 4, then the desired percentile is the average of the values at index 4 and 5. In our case, that will be;
= 5896
If the index is a decimal number, it is rounded up to the nearest integer. The value at the rounded index is the desired percentile.
For example, in our case, the index is 4.2 which when rounded up becomes 4.
Therefore, the data point or value at index 4 is the 30th percentile. From the arrangement in (ii) above, that will be 5896. i.e
5581 5700 5700 <u>5896</u> 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381
Answer:
Mykel can make 2.79 x 10³² different combinations
Step-by-step explanation:
We can solve this problem using combination
The formula for combination is ⁿCₐ =
where n = total number of choices available
a = number of items being chosen
The total movies Mykel wants is 99.
Taking out the sure 66 drama movies,
Mykel is left with 99 - 66 choices = 33 choices.
The total number of choices he is left with is 66 foreign + 33 children + 44 documentaries = 143 movies
Hence, our n = 143 movies
and a = 33 choices
Hence we do, ¹⁴⁴C₃₃ = =
2.79 x 10³² combinations
∴ Mykel can make 2.79 x 10³² different combinations.