In the front pocket of Kelly's backpack, there are 4 orange, 3 yellow, 4 blue, and 3 green highlighters.
2 answers:
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A.
We can rewrite the squared in two ways.
The first way is to rewrite it as a multiplication, this is:
The second way to rewrite the squared is by using the formula for this kind of product:
B.
Once again we can find the final result using each of the options given in part A, for the first option we have:
For the second option we have:
No matter which way we choose the answer for the squared is:
Answer:
Yes, Tom must be admitted to this university.
Step-by-step explanation:
We are given that the scores on national test are normally distributed with a mean of 500 and a standard deviation of 100.
Also, we are provided with the condition that Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test.
Let, X = score in national test, so X ~ N()
The standard normal z distribution is given by;
Z = ~ N(0,1)
Now, z score of probability that tom scores 585 is;
Z = = 0.85
Now, proportion of students scoring below 85% marks is given by;
P(Z < 0.85) = 0.80234
This shows that Tom scored 80.23% of the students who took test while he just have to score more than 70%.
So, it means that Tom must be admitted to this university.