Answer:
probability of selecting the square is 63.7% approximately
Step-by-step explanation:
First of all, the probability of the point of choice is within the red square can be obtained with this formula
probability = expected outcome / total number of possible outcomes
In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.
We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.
Area of the square
Area of the square = 
where length = 
Area = 
Area of the circle
Area of the circle = 
area of circle =
Probablity of selecting the square =
32/50.26 = 0.6366
To express this as a percentage, we multiply our answer by 100.
This will give us 0.6366 X 100 = 63.7% approximately
Answer:
C
Step-by-step explanation:
Multiply by 12 on both sides.
Start with step one
y/3 - 1/4 = 5 Multiply both sides by 12
12(y/3 - 1/4) = 5*12
12*y/3 - 12 * 1/4 = 60
3 goes into 12 four times
4 goes into 12 three times. In both cases you are cancelling.
4y - 3 = 60
Answer: Option d.
Step-by-step explanation:
To find the domain of the function we should look for the values for which the denominator is equal to zero, because the division by zero is not allowed.
We know by definition that the function
is always greater than zero for all <em>x</em>.
We know that the constant <em>c</em> is greater than zero (c>0).
Then, the expression
is never equal to zero.
Therefore, it does not exist a value for <em>x</em> that makes the denominator 0. Then, the domain of the function is all real numbers.
The answer is the option d.
Answer:
7.5^2
56.25
Step-by-step explanation:
Answer:

Step-by-step explanation:


We'll substitute y into the equation:

Switch sides:

Add 2 to both sides


Divide both sides by -3:


Therefore, the value of x/solution is -3
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