Answer: All I'm seeing is a blank screen I'm sorry can you try it again?
Answer:
i and iii) In the figure attached part a we have the illustration for the area required for the probability of less than 2 hours and in b the illustration for the probability that X would be between 2 and 4
ii)
And using the normal standard table or excel we got:
iv)
And we can find the probability with the following difference and usint the normal standard distirbution or excel and we got:
Step-by-step explanation:
Let X the random variable that represent amount of time people spend exercising in a given week, and for this case we know the distribution for X is given by:
Where
and
Part i and iii
In the figure attached part a we have the illustration for the area required for the probability of less than 2 hours and in b the illustration for the probability that X would be between 2 and 4
Part ii
We are interested on this probability:
We can use the z score formula given by:
Using this formula we have:
And using the normal standard table or excel we got:
Part iv
We want this probability:
Using the z score formula we got:
And we can find the probability with the following difference and usint the normal standard distirbution or excel and we got:
f(x) = x + 4
g(x) = x² - x
a) f(5)
f(5) = 5 + 4 = 9
b) g(-1)
g(-1) = (-1)² -(-1) = 1 + 1 = 2
c) f(x) = 10
10 = x + 4
x = 6
d) g(x) = 6
6 = x² - x
0 = x² - x - 6
0 = (x - 3)(x + 2)
x = 3, -2
H=-16t^2+192t+0. It will have a maximum because the negative in front of the 16 indicates that the parabola will face downwards
Parametric form of a circle is x = h + r cos t, y = k + r sin t where (h , k) is coordinates of the center of the circle. r is the radius
so for this circle the equations are
x = 1 + 3 cos t and y = 2 + sin t