Jodie Meeks's Free Throws During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage
1 answer:
Answer:
0.8973
Step-by-step explanation:
Relevant data provided in the question as per the question below:
Free throw shooting percentage = 0.906
Free throws = 6
At least = 5
Based on the above information, the probability is
Let us assume the X signifies the number of free throws
So, Then X ≈ Bin (n = 6, p = 0.906)
Now
The Required probability = P(X ≥ 5) = P(X = 5) + P(X = 6)
= 0.8973
You might be interested in
Answer:
Maximum volume = 649.519 cubic inches
Step-by-step explanation:
A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).
Volume is given by
V =
First, we differentiate V(x) with respect to x, to get,
Equating the first derivative to zero, we get,
Solving, with the help of quadratic formula, we get,
,
Again differentiation V(x), with respect to x, we get,
At x =
,
Thus, by double derivative test, the maxima occurs at
x = for V(x).
Thus, largest volume the box can have occurs when .
Maximum volume =
Answer:
Function A is a linear function and Function B is a nonlinear function
Function A has a positive rate of change
Step-by-step explanation:
<u><em>Verify each statement</em></u>
Option 1) Function A is a linear function and Function B is a nonlinear function
The statement is True
Because
Function A
The function A represent a proportional relationship that can be expressed in the form
Find the value of k
For x=1, y=5 ---->
For x=2, y=10 ---->
For x=3, y=15 ---->
so
The graph is a straight line
therefore
Function A represent a linear function
Function B
we have
This is a quadratic equation (vertical parabola open upwards)
The graph is a curved line
therefore
Function B represent a nonlinear function, because the graph is not a straight line
Option 2) Function B has two y-intercepts at (0, 2) and (0, –2)
The statement is False
Because
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
Therefore
The function B has only one y-intercept at (0,2)
Option 3) Function A has a positive rate of change.
The statement is True
Because
The rate of change of the function A is equal to the slope
The slope of the function A is m=5
Is a increasing function
As x increases the value of y increases
As x decreases the value of y decreases
Option 4) Function B has a negative rate of change
The statement is False
Because
To find the average rate of change, we divide the change in the output value by the change in the input value
we have
Is a vertical parabola open upward
The vertex of the function B is the point (0,2)
For the domain ----> (-∞,0)
The function is decreasing ( the rate of change is negative)
For the domain ----> (0,∞)
The function is increasing ( the rate of change is positive)