Y=mx+b
m=slope
b=y intercept
perpendicuar lines have slopes that multiply to get -1
so
solving for y
add 4x both sides and divide by5 to get
y=4/5x+2
slope is 4/5
perpendicular means the slopes multiply to get -1
so
4/5 times what=-1?
what=-5/4
so
y=(-5/4)x+b
find b
given the point (-15,8)
8=(-5/4)(-15)+b
8=75/4+b
-43/4=b
y=(-5/4)x-43/4
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>
You can determine the actual markdown by changing the percentage to a decimal then multiplying it by the price to find your mark down.
Your question is missing the figure, so the figure for your question is attached below:
Answer:
shade 2 strips out of 4 to get fraction strip equivalent to Mandy's fraction strip
Step-by-step explanation:
As Mandy shaded the 3 trips out of the total six strips. It shows the fraction of
and
To shade the given fraction strip so that it represents a fraction that is equivalent to Mandy's fraction strip, we should shade 2 stripes out of 4 that is equivalent to
i.e.
My Fraction Strip is equivalent to Mandy's Fraction Strip because both are equal to