Answer:
0.225
Step-by-step explanation:
Total outcomes of choosing 5 out of 18 members = 18C5
Outcomes of choosing 2 out 11 favourers, 3 out of 7 members = 11C2 & 7C3
Probability = Favourable outcomes / Total outcomes
= ( 11C2 x 7C3 ) / 18C5
<u>[ { 11 ! / 2! 9! } {7 ! / 3! 4! } ] </u>
[ 18 ! / 5! 13! ]
( 55 x 35 ) / 8568
1925 / 8568
= 0.2246 ≈ 0.225
Answer:
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
Step-by-step explanation:
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075
Considering the GMAT score x, and the GPA y, this situation is modeled by the following inequality:
Robbin's GMAT score was 800.
This means that 
, and thus:
What must her grade point average be in order to be unconditionally accepted into the program?
Solving the above inequality for y:
Thus:
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
Answer:
B. BC ≅ LM
Step-by-step explanation:
BC corresponds to LM. These are the only two sides without the hash marks that represent congruence. If the marks were there to indicate that the sides are congruent, then the triangles could be proved congruent by SSS.
Answer:
a=9
Step-by-step explanation:
To solve this proportion, we have to get the variable, a, by itself.
First, cross multiply.
6/a=18/27
Multiply the denominator of the first fraction by the numerator of the second, and the numerator of the second by the denominator of the first.
a*18=6*27
18a=162
Now, 18 and a are being multiplied. In order to get a by itself, perform the opposite of what is being done. They are being multiplied, so the opposite would be division. Divide both sides by 18.
18a/18=162/18
a=162/18
a=9
So, the proportion, with 9 substituted in for a, will be:
6/9=18/27
