Using the uniform distribution, we have that:
a) The density curve is given at the end of this question.
b) 16.67% of the time does a customer have to wait between 100 and 120 seconds.
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The uniform distribution has two bounds, a and b, and the probability of finding a value between c and d is given by:
![P(c \leq X \leq d) = \frac{d - c}{b - a}](https://tex.z-dn.net/?f=P%28c%20%5Cleq%20X%20%5Cleq%20d%29%20%3D%20%5Cfrac%7Bd%20-%20c%7D%7Bb%20-%20a%7D)
- Uniform distribution on the interval of 0 to 120 seconds, thus
.
The proportion between 100 and 120 seconds is:
![P(100 \leq X \leq 120) = \frac{120 - 100}{120 - 0} = \frac{1}{6} = 0.1667](https://tex.z-dn.net/?f=P%28100%20%5Cleq%20X%20%5Cleq%20120%29%20%3D%20%5Cfrac%7B120%20-%20100%7D%7B120%20-%200%7D%20%3D%20%5Cfrac%7B1%7D%7B6%7D%20%3D%200.1667)
0.1667*100% = 16.67%
16.67% of the time does a customer have to wait between 100 and 120 seconds.
A similar problem is given at brainly.com/question/15855314
That expression can’t be simplified and the answer is unknown. Finding what 3x+4y is impossible unless more information is provided.
Answer:
i think its km.
Step-by-step explanation:
(please correct me if im wrong)
Answer:
-6
Step-by-step explanation:
The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).
So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is
(f(-2)-f(-9))/(-2--9)
(f(-2)-f(-9))/(7)
Stop!
To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.
To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.
Continue!
(f(-2)-f(-9))/(7)
=(-5-37)/7
=(-42)/7
=-42/7
=-6