Answer: toss
Step-by-step explanation:
buoy you would spend 4.80 for 160 rolls
toss you would spend 6.00 for 300 rolls
mop ups you would spend 7.20 for 120 rolls
waves you spend 12.50 for 250
if you times these by 2 or any other number the answer will always be toss
Have a great day!
Integration by parts will help here. Letting
and
, you end up with
and
. Now
For the remaining integral, setting
gives
, so
Putting everything together, you end up with
Answer:
Step-by-step explanation:
We are given the equation:
And we want to solve using the quadratic formula.
First, isolate the equation:
Recall that for equations in the form <em>ax</em>² + <em>bx</em> + <em>c</em> = 0, the solutions are given by:
In this case, <em>a</em> = 2, <em>b</em> = 4, and <em>c</em> = -15.
Substitute and evaluate:
In conclusion, our two solutions are:
Answer:
a) E(x)=3.565
b) c=3.8475 --> P(X < 3.8475) = 0.75
c) The probability that X falls above or below 0.28 min from the mean is P=0.4954.
Step-by-step explanation:
We have the cumulative distribution function as information.
a) To calculate the expected value, we can calculate the value of x in which F(x) equals 0.5. This happens for x=3.565.
b) What is the value c such that P(X < c) = 0.75?
In this case, we have to calculate x to have F(x)=0.75
This happens for x=3.8475.
c) We have to calculate the probability that X falls above or below 0.28 min from the mean (x=3.565).
This is the probability that the time is between 3.285 and 3.845
We can calculate this as:
The probability that X falls above or below 0.28 min from the mean is P=0.4954.