Answer:
Step-by-step explanation:
x²+10x+21=0
x²+10x+(10/2)²-(10/2)²+21=0
x²+10x+25-25+21=0
(x+5)²-4=0
(x+5)²=4
(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²
(x+y)²=x²+2xy+y²
coefficient of x=2y
y²=[(coefficient of x)/2]²=(2y/2)²=y²
Answer:
A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.
B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.
C. The expected value of X is 6.75, and the standard deviation of X is 2.17.
Step-by-step explanation:
The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.
With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:
A. P(x=6)
B. P(x≥10)
C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:
I believe it’s -12x but I may be wrong I hope this helped!
Answer:
(0,5)
Step-by-step explanation:
To solve this problem we can find the horizontal distance and the vertical distance of the points A and C, then we divide this distance by 3 (as the ratio AB:AC is 1:3) and we sum this value to the point A to find the coordinates of the point B:
Horizontal distance of A to B:
4 - (-2) = 6
Vertical distance of A to B:
7 - 4 = 3
So we need to sum 6/3 = 2 to the x-coordinate and 3/3 = 1 to the vertical coordinate of A:
B = (-2+2, 4+1) = (0,5)
Answer:
infinite number
Step-by-step explanation:
Carry out the multiplication indicated here:
5x + 3(x-5) = 6x + 2x -15 => 5x + 3x - 15 = 6x + 2x -15
Now combine the x terms: We get 8x - 15 = 8x - 15, or -15 = -15.
This last result is always true, so this equation has an infinite number of solutions.