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.
X=2
Answer:
Both cards would have equal value when both have purchased 2 Pizzas each
Step-by-step explanation:
since the number of pizzas purchased is X
70-(20*X) =X*15
-20X-15X=-70
-35X = -70
X =2
Answer:
see explanation
Step-by-step explanation:
1
The area of a rectangle = length × width
2
To find the width, divide the area by the length
3
width = 
= 
To simplify divide each term on the numerator by 3x
= 
+ 
= x + 3 ← width
L=3w+5
2(3w+5)+2w=250 (both w and l have to be multiplied by two because there are two sides)
This can be simplified to: 6w+10+2w=250
Now subtract 10 from both sides and add the two w's together.
This makes: 8w=260
Divide both by 8: 32.5-w=32.5
32.5 times 2=65
250-65=185, divided by 2=92.5
Length=92.5
Width=32.5
hope this helped!
Answer:
The correct answer is 17.96875 or approximately 18 inches.
Step-by-step explanation:
Since the ratio of the model truck to the real truck is 5:64, and the length of the truck is 230 inches, that means the length of the model truck would be 
= 
= 17.96875 ≈ 18 inches.
