Answer:
Let X the random variable of interest "number of registered voters" in a random sample of n =5, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
So then the best answer for this cas would be:
b. the number of registered voters in the nation
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of registered voters" in a random sample of n =5, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
So then the best answer for this cas would be:
b. the number of registered voters in the nation
Remember, you can do anything to an equation as long as you do it to both sides
and when multiply or divide by a negative in inequalities, flip the direction of the sign
12x-39<9
add 39 to both sides
12x<48
divde bothh sides by 12
x<4
-4x+3<-6
minus 3 both sides
-4x<-9
times both sides by -1 and flip sign
4x>9
divide both sides by 4
x>9/4
answer:
4.5m²
explanation:
1. <u>find area of the circle</u>
A(circle)=πr²
A=π(2.3²)
A=16.62m²
2. <u>find area of the square</u>
the diameter of a circle is twice its radius. when you multiply 2.3 by two, you get 4.6. since the circle reaches to the sides of the square, the diameter is also the length of a side on the square.
A(square)=s²
A=4.6²
A=21.16m²
3. <u>subtract the two areas</u>
to find the area of the shaded sector, we need to subtract the area of the circle from the area of the square.
A(shaded)=21.16-16.62
A=4.54097487m²
(be sure to round as necessary)
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