Answer:
0.7429
Step-by-step explanation:
Given that Of the 721 students at the college, 299 of them apply for loans when entering graduate school.
So p = proportion of students applying for loans = 
Each student is independent of the other and there are two outcomes
Hence out of 45 students the no of students who apply for loans say X is binomial with n =45 and p = 0.415
the probability that more than 16 of them apply for loans
=
=0.7429
Answer:
108, 108, 72
Step-by-step explanation:
Vertical angles are congruent and if the measure of 1 of the angles is 72 degrees and straight lines equal 180 degrees you have to subtract 72 from 180 which equals 108.
Answer:
<em>Answer: C. 32 cm</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem
</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.
We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.
If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.
If y=16, z=16, and x=32 (the worst possible combination), then the inequality
0 < x < 32
wouldn't be satisfied, thus the third side cannot have a length of 16 cm and it must have a length of 32 cm
Answer: C. 32 cm
Answer:
$3.75
Step-by-step explanation:
You only have to multiply 3 pounds by the $1.25 to get the cost.
3e^2 + 5e = e(3e +5)
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