Answer: 66 degrees
Step-by-step explanation:
Sum of the angle measures is 180, so:
71 + x + 49 + x + 72 = 180
2x + 192 = 180
2x = -12
x = -6
Meaning the measure of angle A = -6 + 72 = 66 deg.
Answer:
use your head
Step-by-step explanation:
Answer:
17,37
Step-by-step explanation:
one number = x
The positive number = 2x + 3
x * (2x+3) = 629
x*2x + x *3 = 629
2x² + 3x - 629 = 0
2x² - 34x + 37x - 17*37 =0
2x*(x -17) + 37(x - 17) = 0
(x - 17)(2x + 37) = 0
x - 17 = 0 ; Ignore 2x + 37 as s is a positive number
x = 17
Positive number = 2*17 +3 = 34+3 = 37
Answer:
C. 0.98
Step-by-step explanation:
Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.
P(B<0) = 0.9*P(A<0)
P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))
P(Z<-x/y) = 0.9*P(Z<-2)
P(Z<-x/y) = 0.0205
x/y =2.04
Or y/x = 1 /2.05
y/x =0.49
Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)
= 2*(y/x)
= 2*0.49
= 0.98
