Answer:
3
, 4
, 4
(two x's on this spot), 5
Step-by-step explanation:
you need an x in each point (A, B, C, D, E) given in the chart
notice point B and E are the same
3
, 4
, 4
(two x's on this spot), 5
I believe the bottom left shows the right answer
Answer:
27x +6
Step-by-step explanation:
3(7x+2)+6x
Distribute
21x+6 +6x
Combine like terms
27x +6
Answer:
13 bags
Step-by-step explanation:
Area of the lawn: A=lw
w= 64 ft
P= 2(l+w)= 278 ft ⇒
bags of seed required:
- 4800/384= 12.5 so 13 full bags needed
Answer:
Gavin uses more rope.
Step-by-step explanation:
Because 1/4>1/8, since 1/4=0.25 and 1/8=0.125.
Answer and Explanation:
Given : The random variable x has the following probability distribution.
To find :
a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.
b. Calculate the expected value of x.
c. Calculate the variance of x.
d. Calculate the standard deviation of x.
Solution :
First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.25 0 0 0
1 0.20 0.20 1 0.20
2 0.15 0.3 4 0.6
3 0.30 0.9 9 2.7
4 0.10 0.4 16 1.6
∑P(x)=1 ∑xP(x)=1.8 ∑x²P(x)=5.1
a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.


Yes it is a probability distribution.
b) The expected value of x is defined as

c) The variance of x is defined as

d) The standard deviation of x is defined as


