Answer:
200 √17
Step-by-step explanation:
distance between two points (x,y) and (x',y')
D² = (x' - x)² + (y' - y)²
D² = (500 - (-300))² + (400 - 200)² = 640000 + 40000 = 680000
D = √680000 = √4 x 17 x 10000 = 200 √17
Answer:
A. |x|=9 D. -|-x|=-9 F. |-x|=9
Step-by-step explanation:
a. |9|=9
D. -|9| = -9
F. 9=9
Answer: (in point slope form as asked)
9: y-1=3(x-0)
10: y+3=-1(x-2)
Why?
Point slope equation: y-y1=m(x-x1)
M=slope
Y1= y for first point
X1= x for first point
9: First I found the slope but moving up 3 over 1 from point 0,1 up to point 1,4 because slope = rise/run this gave me 3.
10: I started at point 2,-3 and moved up to point 1,-2 which shows that the slope is 1, BUT it is a negative line so it’s a -1. Then because the equation for point slope is subtraction and -3 is negative it becomes addition
Hope this helps :D (comment if you need me to explain better)
When the probability of an event is = 1 that means it's no longer a probability but a certainty, an assertion instead.
If today is Thursday, what is the probability tat tomorrow will be Friday?
It's equal to 1 since certainly tomorrow will be Friday
However In noticed that your problem is incomplete, hence we can't answer your last question
Answer:
The probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47
Step-by-step explanation:
Has Gained Weight Has Not Gained Weight
Does not take vitamins 52 19
Takes one vitamin per day 35 49
Takes more than one vitamin per day 72 80
We are supposed to find the probability that he or she has gained weight, given that he or she takes more than one vitamin per day
A= he or she has gained weight
B=he or she takes more than one vitamin per day


B = 72+80=152
So,
So, Option C is true
Hence the probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47