The figure below shows two triangles on the coordinate grid:
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The slope of the line is 1/3and the y-intercept is at the (0, 2) as shown in the graph below.
<h3>Graph of a linear function</h3>A linear function is a function that has a leading degree of 1. The standard equation for a linear function is expressed as:
y = mx + b
where
m is the slope which is equal to the rate of change of y coordinate to x-coordinates.
b is the y-intercept
Given the following equation
y= 1/3x + 2
The slope of the line is 1/3 and the y-intercept is at the(0,2) as shown in the graph below.
Learn more on equation of a line here: brainly.com/question/13763238
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Answer: Reject the eight- ounces claim.
Step-by-step explanation:
For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.
It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.
As per given ,
Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.
Then ,
, since alternative hypothesis is left-tailed thus the test is an left-tailed test.
the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.
Clearly , -1.87 < -1.645
⇒ -1.87 falls under rejection region.
⇒ Decision : Reject null hypothesis.
i.e. we reject the eight- ounces claim.
<u>Answer</u>
<u>Detailed Explanation </u>
Let's set up a proportion.
Now that we have set up a proportion we would need to cross multiply.
3*x=3x
40*4.8= 192
Solve for x
Therefore, the answer would be 64.