Easiest way is if you have a graphing calculator, but if not. Simply plug in values for x, starting at -2 for this equation, and then find the corresponding y values. Then plot.
Answer:
D is the answer
Step-by-step explanation:
The second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
<h3>What is the box and whisker plot?</h3>
A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have given a data set and a box plot shown in the picture.
From the boxplot we can see:
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
The second data set:
{2, 3, 3, 4, 5, 5, 8, 10, 10}
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
Thus, the second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
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Answer:
C. $25
Step-by-step explanation:
We will find,
The slope of the function using
.
Taking the points (1,40) and (2,55).
Slope = 
i.e. Slope = 
i.e. Slope = 15
Substituting the slope and point (1,40) in the equation
,
We have, 
i.e. 
i.e. b= 25
Thus, the equation of the linear function is
.
<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>
So, the initial value of the comic book is when x= 0.
So,
i.e. y= 25
Hence, the cost of the book when Lucy purchased it was $25.
The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.
<h3>What is a normal distribution?</h3>
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
A.) The percentage of all possible values of the variable that lie between 5 and 9.
P(5<X<9) = P(X<9) - P(5<X)
= P(z<1.5) - P(-0.5<z)
= 0.9332 - 0.3085
= 0.6247
= 62.47%
B.) The percentage of all possible values of the variable that exceed 1.
P(X>1) = 1 - P(X<-2.5)
= 1-0.0062
= 0.9938
= 99.38%
C.) The percentage of all possible values of the variable that are less than 4.
P(X<4) = P(X <4)
= P(z<-1)
= 0.1587
= 15.87%
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