Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
Answer:
<h2>x = -1 and -4.</h2>
Explanation is given in the above photo.
Answer:
20
Step-by-step explanation:
which side is x ? the Hypotenuse - the side opposite of the 90 degree angle ? or is it one side touching the 90 degree angle ?
that is important. we need to know which side is the Hypotenuse to make the right calculations.
if I assume x is the Hypotenuse, then the calculation follows Pythagoras like this
x² = 12² + 16² = 144 + 256 = 400
x = sqrt(400) = 20
but just in case, if x is a side touching the 90 degrees angle, then the would look like this (depending on which of the other sides is the Hypotenuse)
either
12² = 16² + x²
144 = 256 + x²
-112 = x²
that did not work. a square root of a negative number did not work for actual distances.
or
16² = 12² + x²
256 = 144 + x²
112 = x²
x = sqrt(112) = 10.58
Answer:
11:13
Step-by-step explanation:
132:156
Split in half
66:78
Again
33:39
By 3
11:13
The standard equation of a parabola is:
(y-k) = a(x - h)² , where h and k are the coordinates of the Vertex
Since the vertex is ( - 5 , -7), then :
(y +7) = a (x + 5)².
It's given that the vertex is a minimum, that means the coefficient a>0 and the parabola is open upward.
Depending on the value of a (always a>0) , the equation :
y = a(x-5)² + 7 is a parabola