Step-by-step explanation:
The above given expression "72t+8 " have to be factorized by the following methods.
<u>Step 1 : </u>
First we must check both numbers in order to obtain common factor for both ,for this equation "8" is the common factor for both .
<u>Step 2:</u>
After obtaining the common factor for the equation equation, we must now take the factor as common outside the bracket and form the equation as follows,
⇒ 8 * ( 9*t + 1 )
Here there are the two factors for the equation " 72 t+ 8 " that are <u>8 </u>and <u>9t+1.</u>
<u>Step 3 (optional) : </u>
Now check weather the factors are correct or not by multiplying factors with each other.
Multiplying ,
⇒ 8 * ( 9*t + 1 )
Gives -
⇒ 72 t+ 8
Answer:
3.2(roughly) inches by 4 inches
Step-by-step explanation:
Answer:
a) 3/64 = 0.046 (4.6%)
b) 63/64 = 0.9843 (98.43%)
c) 1/64 = 0.015 (1.5%)
d) 1/4 = 0.25 (25%)
Step-by-step explanation:
in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then
∑f(x)*Δx = 1
if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...
then Δx=1 and
∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1
then f represents a probability mass function
a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)
b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)
c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)
d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)
Answer:
times the height, width and base
Step-by-step explanation:
