What is the slope intercept form of the equation of the line shown below
2 answers:
Answer:
Step-by-step explanation:
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The slope-intercept form formula is:
The stands for the slope and the
stands for the y-intercept.
By looking at the graph, I can figure out that the y-intercept is -4 because y-intercept is where the lines cross the y-axis and in this graph, the line crosses the y-axis at (0,-4).
The slope is because to get to the ordered pair (3,0), from (0,-4), you would have to go up 4 and over 3 to the right so it's
So now, if we insert the values in the formula, it would be
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Hope this is helpful.
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Answer:
a) Find the probability that the drink is less than 11.9 fluid ounces
We are supposed to find P(x<11.9)
x= 11.9
We will use z score formula :
Refer the z table
So, P(z<-0.67) = 0.2514
Hence the probability that the drink is less than 11.9 fluid ounces is 0.2514
b)Find the probability that the drink is between 11.6 and 11.9 fluid ounces
x= 11.6
We will use z score formula :
x= 11.9
We will use z score formula :
We are supposed to find P(11.6<x<11.9)
So, P(11.6<x<11.9)= P(x<11.9)-P(x<11.6)
P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)
Refer the z table
P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)
P(-1.67<z<-0.67)= 0.2514-0.0475
P(-1.67<z<-0.67)= 0.2039
So, the probability that the drink is between 11.6 and 11.9 fluid ounces is 0.2039.
c)Find the probability that the drink is more than 12.6 fluid ounces
We are supposed to find P(x>12.6)
x= 12.6
We will use z score formula :
Refer the z table
P(x>12.6)=1-P(x<12.6)
P(z>1.67)=1-P(z<1.67)
P(z>1.67)=1-0.9525
P(z>1.67)=0.0475
Hence the probability that the drink is more than 12.6 fluid ounces is 0.0475
d) Is the drink containing more than 12.6 fluid ounces an unusual event?
Since p value is less than alpha (0.05)
Answer = No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual.