Answer:
Step-by-step explanation:
Hello,
there is not always an intersection point
let's take the example of on the appropriate domain
there is no intersection point
if there is one it means that the point (x,f(x)) and the point (x,
) is the same so that have to solve
for instance if we take
intersection point are for x >= 0
hope this helps
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>
A dilation can elongate or diminish a figure. It can
create an image the same as the original by using a scale factor. The scale
factor of a dilation is the ratio of corresponding side lengths. To
dilate a polygon, multiply the coordinates of each vertex by the scale
factor k and connect the vertices.
Answer:
The angle is 35 degrees
Step-by-step explanation:
Since this is an isosceles triangle, we know that the two remaining angles must be the same. Set those angles equal to x. Now, we can solve for x by adding those two angles to the third angle and setting equal to 180.
x + x + 110 = 180
2x + 110 = 180
2x = 70
x = 35
