Answer:
A
Step-by-step explanation:
to find the inverse, there are two steps
1-interchange x and y
2-solve for y
so y=x+1/x
interchange to get x=y+1/y
and solving for y we multiply both sides by y to get xy=y+1
subtract both sides by y yielding xy-y=1
factor out y to get y(x-1)=1
then divide to get y=1/x-1
Answer:
Step-by-step explanation:
a) P(X > 6) = (9.5-6)/(9.5-5.5) = 3.5/4 = 0.875
b) P(X < 7) = (7-5.5)/(9.5-5.5) = 1.5/4 = 0.375
c) E(X) = (9.5+5.5)/2 = 7.5
Standard deviation = (9.5-5.5)/sqrt(12) =4/3.46 = 1.154
P= 1.156*2/(9.5-5.5) = 2.308/4 = 0.577
d) P(X > t) = 0.25
(9.5-t) /(9.5-5.5) = 0.3
9.5-t = 1.2
t = 9.5-1.2 = 8.3
Answer:
51.7661748226 degrees; 38.2338251774 degrees
Step-by-step explanation:
First, draw a diagram to illustrate this situation. Looking at angle A, Eric's height, 1.65 m, corresponds to OPPOSITE, and Eric's shadow, 1.30 m, corresponds to ADJACENT. Using SOH CAH TOA, the equation is:
tan(A) = 1.65/1.30
A = arctan(1.65/1.30)
A = 51.7661748226 deg
Looking at angle B, 1.65 m is ADJACENT and 1.30 m is OPPOSITE. Therefore, the equation is:
tan(B) = 1.30/1.65
B = arctan(1.30/1.65)
B = 38.2338251774 deg
Answer:
About $3, 333.30
Step-by-step explanation:
If Karen makes $40,000 a year, that means she makes about $3,333.30 a month (12 months in a year, divide 40,000 by 12 to get the answer) this means she can budget about $3,333.30 a month.
(I rounded to make the answer more realistic the full number is 3333.3333333333333333333333333333)
Can u take a better picture
