If 
is a number that is both divisible by 4 and 5, then
4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that 
is a solution to the system, where 
is any integer. Simply put, any multiple of 20 fits the bill.
Now, there are 11 numbers between 100 and 300 that are divisible by 20 (100, 120, 140, and so on). We have 
when 
, so the sum we want to compute is
Since we have the endpoints of a diameter the center is very easy to find. It is the midpoint of the diameter endpoints, which is just the average coordinates...
The center is:
((-7+3)/2, (-10+2)/2)
(-2,-4)
To find the radius we can use the endpoints again to find the diameter squared and then get the radius from that:
d^2=(dy)^2+(dx)^2
d^2=(2--10)^2+(3--7)^2
d^2=12^2+10^2
d^2=144+100
d^2=244
d=√244, since d=2r, r=d/2
r=√(244/4)
r=√61
The equation of a circle is (x-h)^2+(y-k)^2=r^2. We found earlier that the center was at (-2,-4) and we just saw that r^2=61 so:
(x+2)^2+(y+4)^2=61
Answer:
The second one, 18 and 3/64
Step-by-step explanation:
Just multiply each number together
Answer:
10⁷
Step-by-step explanation:
Just count the number of zero and raise the counted number of zero.
The probability helps us to know the chances of an event occurring. The probability of event n occurring is 0.3.
<h3>What is Probability?</h3>
The probability helps us to know the chances of an event occurring.
We know that for two independent events the probability of the two events occurring simultaneously is written as,
Now, as we know the probability of event m occurring also we know the probability of both events occurring simultaneously, therefore, the probability of event n occurring can be written as,
Hence, the probability of event n occurring is 0.3.
Learn more about Probability:
brainly.com/question/795909
