17. A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds? Round your answer to the ne
1 answer:
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Answer:
A, B and D are true statements.
Step-by-step explanation:
We are given a binomial expansion
Now we will check each option
Option A: The coefficients of and
both equal 1.
If we see first and last term of the expansion, This statement is true.
Option B: For any term in the expansion, a + b = n.
Let we take 3rd term of expansion
Here, a=n-2 and b=2
If we do a+b = n-2+2=n
a+b=n is true statement.
Option C: For any term x^ay^b in the expansion, a - b = n.
Let we take 3rd term of expansion
Here, a=n-2 and b=2
If we do a-b = n-2-2=n-4≠n
a-b=n is false statement.
Option D: The coefficients of x^ay^b and x^by^a are equal.
If we take second term from beginning and last of the expansion.
This statement true.
Answer:
Total number of points in the test = 100
Total number of items in the test = 40
Let number of items of 2 points be x and number of items of 3 points be y.
Now, using the given information the situation can be represented by using the following equations :
⇒ x + y = 40 .........(1)
⇒ 2x + 3y = 100 .........(2)
The matrix equation is :
By solving the equation (1) and equation (2), we get :
Solution : x = 20 and y = 20