1. Points M and N have coordinates (-4,0) and (4,2), respectively.
Then vector is perpendicular to the neede line.
2. Write the equation of line that passes through the point P(2,-4) and is perpendicular to vector
3. Find the point on x-axis, that lies on the perpendicular line.
When y=0, then 4x-4=0, x=1 and point (1,0) lies on perpendicular line.
Answer: correct choice is C.
Answer:
95.4% of family vehicles is between 1 and 3 years old.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 2
Standard Deviation, σ = 6 months = 0.5 year
We are given that the distribution of age of cars is a bell shaped distribution that is a normal distribution.
Formula:
P(family vehicles is between 1 and 3 years old)
95.4% of family vehicles is between 1 and 3 years old.
We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.
Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.
Let x be the number of free income tax returns and y be the number of $35 income tax returns.
Therefore, we can set up:
Since she donates $2 for each return that she files, therefore, we can set up:
Therefore,
Sterre filed 414 tax returns for free and filed 207 tax returns for $35.