Answer:
Yes, the probability distribution is valid.
Step-by-step explanation:
Given :
Income range ___ midpoint(x) ___ %
5 - 15 __________ 10 _____20%
15 - 25 _________ 20 _____13%
25- 35 _________ 30 _____ 21%
35 - 45 _________40 _____ 17%
45 - 55_________ 40 ____ 20%
55 or more _______ 50 _____9%
Yes, we do have a valid probability distributuon ; as the summation of the percentage values is equal to 100%
Answer:
8 hours
Step-by-step explanation:
4 + 1.75x ≤ 18, where x = the number of hours
1.75x ≤ 18 - 4
1.75x ≤ 14
x ≤ 14/1.75
x ≤ 8 hours
Step-by-step explanation:
I think writing the given out helps a bit.
x = small angle
2x+3 = large angle <-- it's 2x since it's twice the small angle and +3 because it's 3 degrees more than the small angle.
small angle + large angle = 180
Now just substitute!
Now that you know what x equals (aka the smaller angle) now you can find the larger angle.
Answer:
The <u>smaller angle</u> equals 59°
The <u>larger angle</u> equals 121°
Good luck!
Answer:
Step-by-step explanation:
R(x) = 150 (x^2 + 1) gives the monthly revenue in millions x months after an ad campaign. To determine the number of months that it will take for the revenue to be 30 million, we will substitute 30 million for R(x). It becomes
30000000 = 150(x^2 + 1)
(x^2 + 1) = 30000000/150 = 200000
x^2 = 200000 - 1 = 199999
Taking square root of both sides of the equation, it becomes
x = √199999 = 447.2
Approximately 447 months