Answer:
Check the explanation
Step-by-step explanation:
The odds are 4 to 1 against, so we can estimate the probability of success (p) as
The expected pay for every success is 3 to 1, so we lose $1 for every lose and we gain $3 for every win.
The number of winnings in the 100 rounds to be even can be calculated as:
We have to win at least 25 rounds to have a positive payoff.
As the number of rounds is big, we will approximate the binomial distribution to a normal distribution with parameters:
The z-value for x=25 is
The probability of z>1.25 is
P(X>25)=P(z>1.25)=0.10565
There is a 10.5% chance of having a positive payoff.
NOTE: if we do all the calculations for the binomial distribution, the chances of having a net payoff are 13.1%.
Answer:
Positive Integer factors of 630 = 2, 3, 6, 18, 5, 90, 7, 630 divided by 2, 3, 3, 5, 7, gives no remainder. They are integers and prime numbers of 630, they are also called composite number.
Area of a triangle = 1/2 x base x height:
Area = 1/2 x 8 x 3x = 12x
Perimeter = sum of the 3 sides:
4x-3 + x +9 + 8 = 5x +14
Answer: C. 12x; 5x+14
Answer:
a quantity that can be expressed as an infinite decimal expansion is real number.This includes all integers and all rational and irrational numbers.It can be either positive or negative.it can be either rational and irrational but not both It is demoted by R .Then numbers which are not both rational and irrational are not real numbers.
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