Answer:
And we can assume a normal distribution and then we can solve the problem with the z score formula given by:
And replacing we got:
We can find the probability of interest using the normal standard table and with the following difference:
Step-by-step explanation:
Let X the random variable who represent the expense and we assume the following parameters:
And for this case we want to find the percent of his expense between 38.6 and 57.8 so we want this probability:
And we can assume a normal distribution and then we can solve the problem with the z score formula given by:
And replacing we got:
We can find the probability of interest using the normal standard table and with the following difference:
The slope of the given line is -2, and since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/2.
Substituting into point-slope form,
Step-by-step explanation:
- In the first parabola it opens on the left and the equation of parabola can be expressed as,
in vertical component <u>(y)² = (-) a (x-h)² + k</u>
cause the parabola is horizontal and it opens on the left.
2. In the second parabola the vertex opens on the right and hence the equation cane be given as,
in vertical component <u>(y)² = a (x-h)² + k</u>
cause the parabola is horizontal and opens on the right.
3. the third equation is given as,
in horizontal component<u> (x²) =</u> <u> (-) a (x-h)² + k</u>
since the parabola is vertical and opens down.
4. the fourth equation is given as,
in the horizontal component <u>(x)² = a (x-h)² + k</u>
since the parabola is vertical and opens up.
