Answer:
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

Calculate P(at least one valve opens).
This is 
Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:


So


Finally

There is a 99.99998% probability that at least one valve opens.
(1/3) × the cone's volume = The cylinder's volume.
Step-by-step explanation:
Step 1:
The volume of any cone is obtained by multiplying
with π, the square of the radius (
) and the height (
).
So the volume of the cone,
.
Step 2:
The cylinder's volume is nearly the same as the cone but instead by multiplying
we multiply with 1.
So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder (
) and the height of the cylinder (
).
So the the cone's volume,
.
Step 3:
Now we equate both the volumes to each other.
The cone's volume : The cylinder's volume =
=
.
So if we multiply the cone's volume with
we will get the cylinder's volume with the same dimensions.
It should be noted that the hourly delivery rate is calculated by dividing the income made by the number of hours worked.
<h3>How to calculate the hourly delivery rate</h3>
Your information is incomplete. Therefore, an overview of the information will be given.
In order to get an hourly rate, it's important to divide the income that the person gets by the number of hours that the person worked.
In this case, let's say that the income is $20000 and the number of hours that was worked monthly was 240 hours, the hourly rate will be:
= $2000/240
= $8.33 per hour
Learn more about hourly rate on:
brainly.com/question/24392720
Answer:
oil and sugar
Step-by-step explanation:
Let us manually add the given numbers.
450
790
123
____
1363
Therefore we see that the correct answer 1363 which is far
from what Jill got which is only 1163.
Therefore the answer is No, the sum should be 1363 (closer
to 1400).