Answer:
Our answer is 0.8172
Step-by-step explanation:
P(doubles on a single roll of pair of dice) =(6/36) =1/6
therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)
=1-(1-1/6)3 =91/216
for 12 players this follows binomial distribution with parameter n=12 and p=91/216
probability that at least 4 of the players will get “doubles” at least once =P(X>=4)
=1-(P(X<=3)
=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)
=1-0.1828
=0.8172
Answer:
In centimeters, it would be 40.64 centimeters.
Answer:
7.92% probability that a particular death is due to a traffic accident
Step-by-step explanation:
The relative frequency approach to find the probability that a particular death is due to a traffic accident is the number of deaths due to traffic accidents divided by the total number of deaths.
We have that:
624 deaths from traffic accidents
7883 total deaths.
So

7.92% probability that a particular death is due to a traffic accident
Answer:
$4
Step-by-step explanation:
The two purchases can be written in terms of the cost of an adult ticket (a) and the cost of a student ticket (s):
7a +16s = 120 . . . . . . . . price for the first purchase
13a +9s = 140 . . . . . . . . price for the second purchase
Using Cramer's rule, the value of s can be found as ...
s = (120·13 -140·7)/(16·13 -9·7) = 580/145 = 4
The cost of a student ticket is $4.
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<em>Comment on Cramer's Rule</em>
Cramer's rule is particularly useful for systems that don't have "nice" numbers that would make substitution or elimination easy methods to use. If you locate the numbers in the equation, you can see the X-patterns that are used to compute the numerator and denominator differences.
The value of a is (16·140 -9·120)/(same denominator) = 1160/145 = 8. I wanted to show you these numbers so you could see the numerator X-pattern for the first variable.
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Of course, graphical methods can be quick and easy, too.
Given that the blood-acohol level at time x is given by A(x)=-0.0082x²+0.06x. The blood-alcohol after 3 hours for a person who has drunk 5 ounces pf 80-proof whiskey will be:
A(3)=-0.0082(3)²+0.06(3)
A(3)=-0.0738+0.18
A(3)=0.1062
the amount of blood-alcohol after 3 hours will be 0.1062