Answer:
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.
Step-by-step explanation:
The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.
This means that 
We want 3 boys, so 
The director is going to choose 8 of these kittens at random to be in the commercial.
This means that 
What is the probability that the director chooses 3 boy kittens and 5 girl kittens?
This is P(X = 3).
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.
A dozen eggs is $4.32 that is 0.36 cents a egg so 17 eggs would be .36x5=$1.80 then $1.80 + $4.32 = $6.12
Answer:
x³+1
Step-by-step explanation:
4x-8 | 4x⁴ - 8x³ + 4x - 8
<u>_4x⁴ - 8x³______</u> <-- x³
4x - 8
<u> 4x - 8</u> <-- 1
0 | x³+1
Therefore, (4x⁴-8x³+4x-8)/(4x-8) = x³+1
0.25 represents the slope of the line. For every 1 unit it goes up, it goes 4 to the right.
Answer:
The center of the circle is (13.4, - 2.6).
Step-by-step explanation:
Circle:
- The diameter of a circle is 2 times of its radius.
- The area of a circle is
, where is the radius of the circle.
- The circumference of a circle is
, where r is radius of the circle.
We know that,the equation of circle is in the form
where 
is the center of the circle and r is the radius of the circle.
Given equation of circle is
The center of the circle is (13.4, - 2.6).
The radius of the given circle is 
units=10 units.
