Answer:
Step-by-step explanation:
To write the factored form, multiply a*c from the standard form 
. Here it is 4*1 = 4.
Then find factors of 4 that add to b=-4.
4: 1,2,4
-2+-2 = -4
Split the middle term into -2x+-2x and factor by grouping.
Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) = 
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) = is divisible by 2 and 3 for all positive integer n.
Answer:
Prime
Step-by-step explanation:
If we have a point on a pre-image, we can have it labelled as A(x,y)
Now, we can write this as the image
To write this as the image, we simply have to add a mark on the A
This mark is at the upper right
We have it as A’ (x,y)
The part added is called a prime
Answer:
Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.
a)
What is the expected value :: n*p = 100*0.8 = 80
standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16
where q is proportion of voters who do not favor Michael. (q=0.2)
and shape of the sampling distribution is binomial distribution which is approximately a bell shaped.
-------------------------
what is the probability that the number of voters in the sample who will not favor Michael will be more than 16
P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587
P(X > 16.0) = 1 - 0.1587 = 0.8413
Mode (most occurring) - 4
mean (average) - 8
median (middle number from least to greatest) - 4
