Given the graph, you can assume that f(x) is the y of an equation.
When f(2) is given, this means that what is the y value when x=2?
As you can see, the solution is between 8 and 10. Meaning that the closest answer is 9.
Hope I helped :)
Answer:
The probability that none of these taxpayers will be audited by the IRS is 0.8996 or 89.36%
Step-by-step explanation:
According to given:
Probability of being audited for income less than $50,000 = 6/1000 = 0.006
Therefore,
Probability of not being audited for income less than $50,000 = 1 - 0.006 = 0.994
Similary,
Probability of being audited for income more than $100,000 = 49/1000 = 0.049
Therefore,
Probability of not being audited for income more than $100,000 = 1 - 0.049 = 0.951
Now, for the probability of 2 persons with less $50,000 income and 2 persons with more than $100,000 income, to not being audited, we must multiply the probabilities of not being audited of each of the 4 persons.
Therefore,
Probability that none of them is audited = (0.994)(0.994)(0.951)(0.951)
<u>Probability that none of them is audited = 0.8936 = 89.36%</u>
1 5/8
1 7/8 - 2/8= 8+7/8 - 2/8= 15/8 - 2/8= 13/8=
1 5/8 is the answer
Answer:
Coordinates of the new library is (150, 70)
Step-by-step explanation:
To get the shortest possible distance means that line from point T to point R has to be perpendicular.
Now, the equation of R is given as;
y = x - 80 - - - (1)
For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.
Thus, slope of T is -1/1 = - 1
Thus, using line - slope intercept of y = mx + c, we can find equation of T as;
140 = -1(80) + c
140 = -80 + c
c = 140 + 80
c = 220
Thus, equation is;
y = -x + 220 - - - (eq 2)
Adding equation 1 to equation 2,we have;
y + y = 220 - 80
2y = 140
y = 140/2
y = 70
Putting 70 for y in eq 1 gives;
70 = x - 80
x = 70 + 80
x = 150
Thus;
Coordinate of the new library is (150, 70)
