Mr. Smith offered to stay after school for an extra help session. The day after the
1 answer:
You might be interested in
Answer:
0.5944 = 59.44% probability that the team has at least 2 grade 11 students
Step-by-step explanation:
The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
We have that:
6 + 8 = 14 students, which means that
6 grade 11 students means that
Teams of 4 members means that
What is the probability that the team has at least 2 grade 11 students?
This is:
In which
So
Then
0.5944 = 59.44% probability that the team has at least 2 grade 11 students
<h2>Answer:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. This is a rectangular prism its base is a rectangle. multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:
Therefore, Associative Property can be used to mentally find the volume of the prisms shown by selecting the easier way of the multiplication. For instance, we can say that:
In whose case:
To operate this mentally is not an easy way, but<em> what if we rotate this shape? </em>so we say that:
Then, the volume can be found as:
There are two forms of finding the result. First, multiplying 18 by 20 and then the result by 5, but as in the previous case this is a tricky way to do mentally:
Hence, here we can use Associative Property multiplying 20 by 5 and then the result by 18:
This last arrangement is easier because 20 x 5 is easy to remember given that the result is 100. Then, by multiplying this result by 18 then we get 1800.