Answer: 1/2 or 50%
Step-by-step explanation:
A dice has 6 numbers; 1,2,3,4,5,6
3 of which are odd numbers
which means:
p(event)= number of favorable outcomes/ number of possible outcomes
p(odd)=3/6
3/6=1/2 or 50%
Answer:
25x^2 -1
Step-by-step explanation:
If you multiply parentheses:
(5x*5x) + (5x*-1) + (1*5x) + (1*-1)
25x^2 - 5x + 5x -1
25x^2 -1
A simpler way is to memorize this formula
(Square1 - square2)= (sqrt of square1- sqrt of square2)*(sqrt of square1 + sqrt of sqaure2)
Answer:
= 160 units
Step-by-step explanation:
Relevant data provided as the situation is below:-
Total available time = 480
Cycle time = 3
According to the given situation, the computation of the daily production rate is shown below:-
Daily production rate is

= 
= 160 units
Therefore we have solve the daily production rate to reach the daily production rate.
The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
What do you mean by absolute maximum and minimum ?
A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.
It is given that function is f(x) = |x + 3|.
We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.
So , if we put |x + 3| = 0 , then :
± x + 3 = 0
±x = -3
So , we can have two values of x which are either -3 or 3.
The value 3 will be absolute maximum and -3 will be absolute minimum.
Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
Learn more about absolute maximum and minimum here :
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Answer:
9π or 28.27 cm
Step-by-step explanation:
The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.