PLEASE HELP LAST TRY PLEASE HELP 10 POINTS!!!!!!!!!!
1 answer:
Only focus on group 1. Either cover up group 2's data or copy group 1's data to another piece of paper to avoid possible confusion.
There are 36 items in category A for group 1
There are 12 items in category B for group 1
In total there are 36+12 = 48 items for group 1
To get the relative frequency, we divide each count by the total
Category A: 36/48 = 0.75
Category B: 12/48 = 0.25
So the answer that goes in the box up top is 0.75
The answer that goes in the box down below is 0.25
There are 36 items in category A for group 1
There are 12 items in category B for group 1
In total there are 36+12 = 48 items for group 1
To get the relative frequency, we divide each count by the total
Category A: 36/48 = 0.75
Category B: 12/48 = 0.25
So the answer that goes in the box up top is 0.75
The answer that goes in the box down below is 0.25
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ANSWERS
(a) x represents the number of hours and y represents Paul's earnings.
(b) y - 24 = 1.50(x - 6)
(c) y = 1.50x + 15; b represents the flat rate
EXPLANATION
(a) In linear models, the x-variable is usually the <em>independent variable</em>, while the y-variable is the <em>dependent variable</em>. In this problem, we know that Paul's earnings depend on how many hours of additional yard work he does. Hence, the x-variable represents the number of hours Paul does extra yard work and the y-variable represents his earnings.
(b) A linear equation in point-slope form is,
Where m is the slope and (x₁, y₁) is a point on the line.
In this case, we know that Paul earns an extra $1.50 per hour for additional yard work. If the additional yard work time in hours is represented by the x-variable, then the slope is 1.50.
Now, we need a point on the line. This is given in the problem, where it is said that when Paul worked 6 hours, he earned a total of $24. So the point is (6, 24),
Hence, the equation in point-slope form is y - 24 = 1.50(x - 6).
(c) The slope-intercept form of the equation of a line is,
We have to take the equation found in part (b) and rearrange it to find the equation in this form.
To do so, apply the distributive property to 1.50 on the right side of the equation,
And add 24 to both sides,
The value of b is 15. Remember that b is the y-intercept, which is the value of the function when x = 0. This means that y = 15 when x = 0 and, therefore, 15 is the flat rate.
Hence, the equation in slope-intercept form is y = 1.50x + 15, and the y-intercept, b, represents the flat rate Paul earns without doing any extra work.
In short, if the denominator is a decimal or a fraction and you have an integer in the numerator, the numerator gets blown up.
so if you divide by 1/2, the numerator blows up to twice as large, if you divide by 1/5, to five times as large, if you divide by 1/3... well, let's see,
why is that? well, you're dividing, and so is saying "how many times 1/3 goes into 2"?
well, 1/3 + 1/3 + 1/3 = 3/3 or 1, so in 1 whole, the fraction goes there 3 times, so in 2 wholes, it'll be 6 times.
so if you divide by 1/2, the numerator blows up to twice as large, if you divide by 1/5, to five times as large, if you divide by 1/3... well, let's see,
why is that? well, you're dividing, and so is saying "how many times 1/3 goes into 2"?
well, 1/3 + 1/3 + 1/3 = 3/3 or 1, so in 1 whole, the fraction goes there 3 times, so in 2 wholes, it'll be 6 times.