Answer:
C
Step-by-step explanation:
The profit (in thousands of dollars) of a company is given by the function:
And we want to find the maximum profit of the company.
Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex. Recall that the vertex of a quadratic is given by:
Find the <em>x-</em>coordinate of the vertex. In this case, <em>a</em> = -8, <em>b</em> = 32, and <em>c</em> = 14. Hence:
To find the maximum profit, substitute this value back into the function. Hence:
Therefore, the maximum profit of the company is 46 thousand dollars.
Our answer is C.
Ignore tht pascal triangle its way too inefficient
Formula nCr = n! /r! (n-r)!
So 6C3= 6!/3!(6-3)!=20
It’s an isosceles triangle, so both the legs will be congruent, and then we can use the Pythagorean thrm
8^2+8^2=x^2
64+64=x^2
128=x^2 *square root both sides*
x=11.3
So the answer would be C
Answer:
49% probability that Mitchell will be a goalie today
Step-by-step explanation:
If Coach White coaches, the probability of being goalie is 0.55.
Coach White has a 70% probability of coaching.
If Coach Jackson coaches, the probability of being goalie is 0.35.
Coach Jackson has a 100-70 = 30% probability of coaching.
What is the probability that Mitchell will be a goalie today?
This is 55% of 70% plus 35% of 30%
Then
P = 0.55*0.7 + 0.35*0.3 = 0.49
49% probability that Mitchell will be a goalie today
Part A:
6 2/3 *3 1/2 = 4 1/4 * x
Part B:
20/3 * 7/2 = 17/4 *x
x=20/3 * 7/2 * 4/17
x=(20*7*4) / (3*2*17)
x=560 / 102
<span>x= 5 25/51</span>
