A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the
elementary school (ages 5–10), the middle school (ages 11–13), and the high school (ages 14–18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 7. Bar 2 is 11 to 13 years old and has a value of 5. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{15, 6, 7, 16, 11, 13, 8, 9, 12, 14, 14, 12, 11, 5, 10, 10}
{7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4}
{5, 7, 10, 5, 11, 13, 4, 14, 18}
{5, 6, 7, 8, 14, 18, 16, 17, 11, 12, 13}
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 7. Bar 2 is 11 to 13 years old and has a value of 5. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{15, 6, 7, 16, 11, 13, 8, 9, 12, 14, 14, 12, 11, 5, 10, 10}
{7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4}
{5, 7, 10, 5, 11, 13, 4, 14, 18}
{5, 6, 7, 8, 14, 18, 16, 17, 11, 12, 13}
2 answers:
Answer:
The correct option is 1.
Step-by-step explanation:
From the given histogram it is clear that
In age group 5-10, the number of students is 7.
In age group 11-13, the number of students is 5.
In age group 14-18, the number of students is 4.
It means age of 7 students lie in the interval 5-10, age of 5 students lie in the interval 11-13 and age of 4 students lie in the interval 14-18.
Total number of elements in the data set is
In option 3 and 4 number of elements is data set is less than 16. So, option 3 and 4 are incorrect.
In option 2 all the data set lie in the interval 5-10. So, option 2 is incorrect.
In option 1,
Class intervals elements frequency
5-10 5,6,7,8,9,10,10 7
11-13 11,11,12,12,13 5
14-18 14,14,15,16 4
From the above table we can conclude that data set 1 represented in the given histogram.
Therefore the correct option is 1.
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Answer:
<em>The only value that is in the domains of both functions is 0</em>
<em>The range of g(x) is all values less than or equal to 0</em>
Step-by-step explanation:
As the original function is
Since, domain is the set of all possible input values that define the function, and range is the set of all possible output values for all possible domain values for which the function is defined.
- The domain of
will be [0, ∞)
- The range of
Please check the attached <em>figure a</em> for visualizing the graph of .
<u><em>Impact of double transformation:</em></u>
- When the function
after first transformation
- After the second transformation across y-axis, the function
For
must be equal to or greater than zero for
to be defined i.e. -x ≥ 0.
So,
-x ≥ 0 can be written as x≤ 0
So,
- The domain of
will be (∞, 0]
- The range of
Please check the attached figure a for visualizing the graph of .
So, from the above discussion, we can say that
- 0 is the only that is in the domain of both function.
- The range of g(x) is all values less than or equal to 0
So,
Only two statements are true about the functions f(x) and g(x) are true which are:
<em>The only value that is in the domains of both functions is 0</em>
<em>The range of g(x) is all values less than or equal to 0</em>
<em>Keywords: graph, function</em>
<em>Learn more about graph and function from brainly.com/question/11152594</em>
<em>#learnwithBrainly</em>
Complete Question:
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by , where is the number of hours since 10 AM:
a) Find an expression for the revenue per hour as a function of x, R(x)
b) Find and simplify, R(x(t))
Answer:
a) R(x) = 2x
b)
Step-by-step explanation:
a) This is a very trivial exercise.
The number of hot dogs sold per hour is given by x
Charge per hot dog = $2
An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x
b)
R(x(t)) = 2(x(t))