Let's go through the steps of factoring that Venita should take.
1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b( )
2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses.
32ab ÷ 8b = 4a
8b ÷ 8b = 1
This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!
Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
Answer:
the n(P) of P = {3, 5, 7, 11, 13, 17, 19} is "128".
Step-by-step explanation:
n(P) is the <u>Cardinality</u> of the set P. Its formula is 2^k.
where k = number of elements in the set.
Hope this helps :)
I think the answer to the question is 2,250
The interest on the loan is
.. I = P*r*t = 3000*.09*180/365 = 133.15
Your effective rate is
.. r = I/(Pt) = (100 +133.15)/(3000*180/365) = 15.8%
We are told that each person flips a coin 200 times. We know that a coin has two options when heads or tails fall, therefore, the results between Amir and Marvin are compared with the number of heads and the number of tails that each one obtained.
The theoretical probability says that out of 200 times a coin is flipped by having 50% heads or tails come out, 100 must be heads and 100 must be tails, theoretically obviously speaking.
Therefore with these values it would be the comparison.
