Jane threw a ball into the air. The graph below shows the relationship between the number of seconds that the ball was in the ai
r and the height of the ball.
What is the x-intercept for the given function? What does this represent in the situation?
look at the graph 
What is the x-intercept for the given function? What does this represent in the situation?
look at the graph
2 answers:
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Answer:
(a) The expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.
(b) The expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.
(c) Because the variance of each variable is dependent on the other.
Step-by-step explanation:
The random variable <em>X</em> and <em>Y</em> are defined as follows:
<em>X</em> = amount of ice cream in the box
<em>Y</em> = amount of ice cream scooped out
The information provided is:
E (X) = 48
SD (X) = 1
V (X) = 1
E (Y) = 2
SD (Y) = 0.25
V (Y) = 0.0625
(a)
The total amount of ice-cream served at the party can be expressed as:
<em>X</em> + 3<em>Y</em>.
Compute the expected value of (<em>X</em> + 3<em>Y</em>) as follows:
Compute the variance of (<em>X</em> + 3<em>Y</em>) as follows:
Then the standard deviation of (<em>X</em> + 3<em>Y</em>) is:
Thus, the expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.
(b)
The amount of ice-cream left in the box after scooping out one scoop is represented as follows:
<em>X</em> - <em>Y</em>.
Compute the expected value of (<em>X</em> - <em>Y</em>) as follows:
Compute the variance of (<em>X</em> - <em>Y</em>) as follows:
Then the standard deviation of (<em>X</em> - <em>Y</em>) is:
Thus, the expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.
(c)
The variance of the sum or difference of two variables is computed by adding the individual variances. This is because the variance of each variable is dependent on the others.
We must do is to graph the following ordered pairs in the Cartesian plane:
Year VHS Rentals (in millions)
2000 10.5
2001 7.8
2002 6.3
2003 5.1
2004 4.4
2005 3.6
2006 3.1
Then, we must observe the behavior of the graph, to determine if the function is linear or exponential.
For this case, we observe that the trend is a decreasing exponential function, since, the rate of change of the function is not constant.
Answer:
Exponential function
See attached image.
Year VHS Rentals (in millions)
2000 10.5
2001 7.8
2002 6.3
2003 5.1
2004 4.4
2005 3.6
2006 3.1
Then, we must observe the behavior of the graph, to determine if the function is linear or exponential.
For this case, we observe that the trend is a decreasing exponential function, since, the rate of change of the function is not constant.
Answer:
Exponential function
See attached image.