. True or False: The function y = (x2 – 4)/(x2 – 4) is continuous for all values of x
1 answer:
You might be interested in
Answer: 0.1824
Step-by-step explanation:
Given : The mileage per day is distributed normally with
Mean :
Standard deviation :
Let X be the random variable that represents the distance traveled by truck in one day .
Now, calculate the z-score :-
For x= 132 miles per day.
For x= 159 miles per day.
Now by using standard normal distribution table, the probability that a truck drives between 132 and 159 miles in a day will be :-
Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824
Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
For, A to be greatest ,
⇒
⇒
⇒
Therefore, from equation (3), k = 5 - h²
⇒
Hence,
Width = 2h =√10 and
Height =