The distribution 4 has the greatest spread because the value of the standard deviation is 3.2
It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
As we know, the standard deviation will give idea about the spread of the data.
As we can see in the distribution 4
The standard deviation = 3.2
And 3.2 is the bigger than all other distribution.
Thus, the distribution 4 has the greatest spread because the value of the standard deviation is 3.2
Learn more about the standard deviation here:
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b.Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≤ n.
c.No: we would need to know if the vertex is a minimum or a maximum.
d.Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≥ n.
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.
y=2x-x+6
A)( 0.25, 6.125)
B)(-0.25, 5.875)
C)( 0.25, 5.875)
D)( 0.25, 6)
The correct answers are:
C) No: we would need to know if the vertex is a minimum or a maximum; and
C)( 0.25, 5.875).
Explanation:
The domain of any quadratic function is all real numbers.
The range, however, would depend on whether the quadratic was open upward or downward. If the vertex is a maximum, then the quadratic opens down and the range is all values of y less than or equal to the y-coordinate of the vertex.
If the vertex is a minimum, then the quadratic opens up and the range is all values of y greater than or equal to the y-coordinate of the vertex.
There is no way to identify from the coordinates of the vertex whether it is a maximum or a minimum, so we cannot tell what the range is.
The graph of the quadratic function is shown in the attachment. Tracing it, the vertex is at approximately (0.25, 0.5875).
Answer:
C' = (-6 , -6)
D' = ( -9 , -6)
Step-by-step explanation:
scale factor of 3
multiply the points you have by 3
(x,y) * 3
the new values for c' and d' are below
c' = (-2, -2) * 3
c' = (-6,-6)
d' = (-3,-2) *3
d' = (-9,-6)
Answer:
A'(6,8)
B'(6,2)
C'(2,2)
Step-by-step explanation:
You can find the vertices by finding the X and Y coordinates in the plane, after rotating it 180 degrees.
0.48
0.45
0.68
Answer: 0.48
Step-by-step explanation:
Given : The probability that a customer will order a hamburger P(H)= 0.60.
The probability that a customer will order french fries P(F)= 0.50.
The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries : P(F|H)= 0.80.
Using conditional probability formula , for any event A (first event) and B (second event), we have:-
Similarly, the probability that the order will include a hamburger and fries :-
Hence, the probability that the order will include a hamburger and fries=0.48