Todd needs to save $90.75 per month to reach his goal
Answer:
Equation: 720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
x=17
Step-by-step explanation:
A 6 sided polygon is 720° degrees
so
720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
Simplify
720=(8x+5x+7x+6x)+(−1+110+36+116+19+−2)
Combine like terms:
720=26x+278
flip equation:
26x+278=720
subtract 278 from both sides
26x=442
divide by 26 both sides:
x=17
Hope this helps.
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Answer:
1.345*10^7
Step-by-step explanation:
Here we need to rewrite 13,450,000 in scientific notation, which looks like x.xx*10^n.
To move the decimal point in 13,450,000 to its proper place between the 3 and the 4, a move of 7 digits, we need to multiply 1.345 by 10^7.
13,450,000 in scientific notation is 1.345*10^7.
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


