Which input value produces the same output value for the
1 answer:
Answer:
Step-by-step explanation:
<h3> The missing graph is attached.</h3><h3> And the options are:</h3>
By definition, a relation is a function if and only if each input value has one and only one output value.
It is important to remember that the input values are the values of "x" and the output values are the values of "y".
Observe the graph attached.
You can identify in the graph that the function f(x) and the function g(x) intersect each other at the following point:
Where the x-coordinate (input value) is:
And the y-coordinate (output value) is:
Therefore, you can conclude that the input value that produces the same output value for the two functions on the graph, is:
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Answer:
a) 81π in³
b) 27 in³
c) divide the volume of the slice of cake by the volume of the whole cake
d) 10.6%
e) see explanation
Step-by-step explanation:
<h3><u>Part (a)</u></h3>The cake can be modeled as a <u>cylinder </u>with:
- diameter = 9 in
- height = 4 in
If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.
The volume of each slice of cake is 27 in³.
The volume of the whole cake is 81π in³.
To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:
Probability is approximately 10.6% (see above for calculation)
<h3><u>Part (e)</u></h3>If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.