Answer:
multiply both sides by ten
Step-by-step explanation:
eliminate the ten by doing the opposite (x10 is the opposite of /10). and then you get the answer 30=r
Answer:
(a) The probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.
(b) The probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.
Step-by-step explanation:
The cumulative distribution function of the random variable <em>X, </em>the waiting time, in hours, between successive speeders spotted by a radar unit is:

(a)
Compute the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function as follows:

The probability is:


Thus, the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.
(b)
The probability density function of <em>X</em> is:

Compute the probability of waiting less than 12 minutes between successive speeders using the probability density function as follows:

![=8\times [\frac{-e^{-8x}}{8}]^{0.20}_{0}\\\\=[-e^{-8x}]^{0.20}_{0}\\\\=(-e^{-8\times 0.20})-(-e^{-8\times 0})\\\\=-0.2019+1\\\\=0.7981](https://tex.z-dn.net/?f=%3D8%5Ctimes%20%5B%5Cfrac%7B-e%5E%7B-8x%7D%7D%7B8%7D%5D%5E%7B0.20%7D_%7B0%7D%5C%5C%5C%5C%3D%5B-e%5E%7B-8x%7D%5D%5E%7B0.20%7D_%7B0%7D%5C%5C%5C%5C%3D%28-e%5E%7B-8%5Ctimes%200.20%7D%29-%28-e%5E%7B-8%5Ctimes%200%7D%29%5C%5C%5C%5C%3D-0.2019%2B1%5C%5C%5C%5C%3D0.7981)
Thus, the probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.
Answer:
The tip for the server is 16%
Step-by-step explanation:
13.6 is 16% of 85.
Answer:
UNDEFINED
Step-by-step explanation:
Any <em>vertical</em><em> </em><em>line</em><em> </em>is considered an <em>undefined rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>], in which everything is set to equal <em>x</em>.
I am joyous to assist you anytime.
Hey there! I'm happy to help!
Let's represent Tom's money as T, Ulrika's as U, and Harriet's as H. Let's put the information we have in a system of equations and solve the problem.
H=3U (Harriet has 3x as much as Ulrika)
H=T+304 (Harriet has 304 more than Tom)
T=U (Tom has same amount as Ulrika.)
We see that 3U and T+304 are equal because they both equal H.
3U=T+304
Since T and U are interchangeable because they are equal, we can replace the U with T to solve for T, which is also the answer for U.
3T=T+304
We subtract T from both sides.
2T=304
We divide both sides by 2.
T=152
This also means that U=152.
So, Ulrika has $152.
Have a wonderful day!