The graph first represents the provided piecewise function option first is correct.
<h3>What is a piecewise function?</h3>
The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.



After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
Learn more about the piecewise function here:
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Yes,
x^2 -4x+4
= x^2 -2x-2x +4
= x (x-2) -2 (x-2)
= (x-2)(x-2)
As you can see it has repeated factor.
Answer:
c.132
Step-by-step explanation:
so we are given the diameter which is 42m **the diameter is the straight line that passes through the middle of the circle**
but in order to find the circumference we need to find the radius **the radius is always half (1/2,0.5) of the diameter**
so we have to divide 42/2 which equals 21
now we need to set up the formula;
c=2πr/c=2xπxr **when unknown variables such as 'r' are next to another mathematical numeral such as the pi symbol you don't really have to but the multiplication symbol between them**
c=2π21
=131.946891451
and in your case, it seems we must round to the tenths place so the nine then "becomes a ten" and you're left with 132
good luck :)
i hope this helps
have a good one !!
Answer:
1. True
2. False.
3. True.
Step-by-step explanation:
1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).
<em>Hence, for continuous probability distribution: probability = area</em>.
2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.
<em>Hence, it cannot be computed. </em>
3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.
<em>Hence, it can be computed. </em>