Answer:
Candidates are chosen without replacement, thus trials are dependent, meaning that Y has a hypergeometric distribution.
Step-by-step explanation:
Difference between hypergeometric and binomial distributions:
In the hypergeometric distribution, trials are dependent of other trials, while in the binomial distribution, they are independent. This can be examplified that in the hypergeometric distribution, the candidates are chosen from a set without replacement, while in the binomial distribution they are chosen with replacement.
In this question:
Candidates are chosen without replacement, thus trials are dependent, meaning that Y has a hypergeometric distribution.
Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:



Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33

y = 49
So the y coordinate of the vertex is 49.
Hope this helps!
Answer:
the answer is C. 12.5
Step-by-step explanation:
its 12.5 because 60 min = 10 mile
and then 15 + 60 = 75 and a quarter of 60 is 15 which a quarter of 10 is 2.5 which you than add up to get 12.5
Answer:
(x+10) and (x-10)
Step-by-step explanation:
The volume of a rectangular box is defined as
Volume = width*height*length
In this case
Volume = 6x^2-600 = 6*(x^2 - 100)
And we also know,
Volume = (6)*height*length
So,
6*(x^2 - 100) = (6)*height*length
This means that
height*length = (x^2 - 100)
height*length = (x+10)*(x-10)
Answer:
rate of change = 1.75 over 1 or just 1.75
Step-by-step explanation:
this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.