Mean = 5.555555555.....
median = 6
mode = 6
range= 1
Answer:
11/381
Step-by-step explanation:
Not sure what the ? after each number means but I'm going to assume they aren't there
so we need find the number of tokens in all which is
44+1414+66=1524
P(red)=44/1524 now reduce giving P(red)=11/381
Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function
</u>
The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:

We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:

Thus if we add and subtract 1:

Operating:

The trinomial in parentheses is a perfect square:

Adding 4:

Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).
Answer:
m∠H = 44°
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary. So,
∠H and ∠G are supplementary
4x + 16 + 2x - 16 = 180
6x = 180
x = 30
m∠H = 2x - 16 = 2(30) - 16 = 60 - 16 = 44°
Answer:
(x - 5)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (5, - 3) and r = 4, so
(x - 5)² + (y - (- 3))² = 4², that is
(x - 5)² + (y + 3)² = 16