Candidates range from 1 to 50.
50/4=12 positive integers are multiples of 4
50/6=8 positive integers are multiples of 6
50/12=4 positive integers are multiples of 12 (LCM of 4 and 6)
By the inclusion/exclusion principle, the number of multiples of either 4 or 6 is equal to 12+8-4=16.
Therefore, the complement is the number of positive integers that are multiples of neither 4 nor 6 = 50-16=34.
<span> Simplifying
4x + 4y = 0
Solving
4x + 4y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
4x + 4y + -4y = 0 + -4y
Combine like terms:
4y + -4y = 0
4x + 0 = 0 + -4y
4x = 0 + -4y
Remove the zero:
4x = -4y
Divide each side by '4'.
x = -1y
Simplifying
x = -1y</span>
Not easy:
- 4 < x^4 + 4x^2 ---> 0 < x^4+4x^2+4 = (x^2+2)^2, so it is always positive. Always satisfied. Curious ...
Now the other one:
x^4+4x^2<21 --> x^4+4x^2-21 < 0 --> (x^2+2)^2 - 25 < 0
(x^2+2)^2<25 ->>> x^2+2 < 5 ---> x^2 <3,
So -sqrt(3)<x<sqrt(3) is the answer! Brainliest?
Answer:
a)negitive b)positive
Step-by-step explanation:
to the left of zero on a number line is negitive numbers and to the right is positive
Answer: The customer spends 10 minutes at a booth.
Step-by-step explanation:
Let n= number of booths, = utilization, = arrival rate, Service rate
We know that
As per given,
Service rate = 6 customers per hour.
Time taken by each customer =
Hence, the customer spends 10 minutes at a booth.