Answer is 8g^15
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Answer: A. 5%
Step-by-step explanation:
Given : The chance that they will join the graduate program : p=0.10
The total number of students in the class: n = 400
For this binomial situation :

We assume that this is normal distribution.
Let X be the random variable that represents the students will be joining a graduate program.
Z-score : 
For x= 50 , we have

Using the standard normal distribution table , we have

Hence, the value i.e.closest to the probability that at least 50 students will be joining a graduate program = 5%
Answer:
34.98 square units.
Step-by-step explanation:
It is given that DEF is a triangle, EF=10, DF=7 and DE=12.
Information of sides of triangle is relevant to calculating area.
We should use Heron's formula.
According to Heron's formula, the area of triangle is
where,
For triangle DEF, let a=10, b=7 and c=12.
Now,
Area of triangle is
Therefore, the area of triangle DEF is 34.98 square units.
Step-by-step explanation:
2.5 + 0.15p = 0.4p
0.25p = 2.5 (subtract 0.15p on both sides)
p = 10 (multiply 4 on both sides)
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