Answer:
345
Step-by-step explanation:
See the attached photos.
Wrote this out pretty messy, sorry!
Using the combination formula, the coach can make 5,005 different groups.
The position does not matter, hence the <em>combination formula</em> is used.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem, 6 students are taken from a set of 15, hence the number of groups is:
More can be learned about the combination formula at brainly.com/question/25821700
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<span>You can calculate the following probabilities:
1. Given that a sampled student is in the Spanish Club, what is the probability they got the Spanish class they requested?
2. Given that a sampled student is not in the Spanish Club, what is the probability they got the Spanish class they requested? If there is a significant difference between the two probabilities, it indicates there is a bias in the selection procedure.
</span><span>Given that, a sampled student is in the Spanish Club, the probability they got the Spanish class they requested is given by 265/335. Given that, a sampled student is not in the Spanish Club, the probability they got the Spanish class they requested is given by 100/165.
</span>
<span>If a student is at the Spanish club, the probability they got the Spanish class they requested is 265/335 = 0.79. If a student is not in the Spanish club, the probability they got the Spanish class they requested is 100/165 = 0.61.
</span>
<span>Based on the calculation, all students do not have an equal chance of getting into the Spanish class that they requested.</span>
Answer:
3 pens.
Step-by-step explanation:
x+y=7 where x is # of pens and y =# of pencils
3x + 2y= $18
from first equation, x=-y+7 so substitute that into other equation
3(-y+7)+2y=18
-3y+21+2y=18
-y=18-21
-y=-3
y=3
now replace y =3 into first equation
x+3=7
x=4
