Answer:
4(2qp + 5qr - 4s)
Step-by-step explanation:
8pq + 20qr – 16s
we can use 4 as a common factor between these numbers.
8/4 = 2
20/4 = 5
16/4 = 4
so
4(2qp + 5qr - 4s) is the most factorized answer we can get
Answer: No
f(g(x))=1
g(f(x))=2
Because f(g(x)) ≠ g(f(x)) The compositions are not commutative
B
Step-by-step explanation:
half of 11 is 5.5 so counting that from either of the points leads to .5
Then continuing from there, half of 9 is 4.5 so moving the point up would get 2.5
Answer:
1. Reduce 3x2-6x-240 to x^2 - 2x - 80
2. Use " ^ " to indicate exponentiation
3. Factor x^2 - 2x - 80 using completing the
x^2 - 2x + 1^2 - 1^2 - 80
(x+1)^2 - 1 - 80
(x+1)^2 - 81
(x+1)^2 - 9^2 = (x+1-9)(x+1 +9), or (x-8)(x+10)
Final answer, with all factors shown: 3(x-8)(x+10)
Step-by-step explanation:
Answer:
327
Step-by-step explanation:
Calculation for How large of a sample would be required in order to estimate the mean per capita income
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Zα/2* σ ) / E]^2
Let plug in the formula
n = (1.28*7.9/0.56)^2
n= 326.06
n=327 (Approximately)
Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327
