Given the following table that gives data from a linear function:
![\begin {tabular} {|c|c|c|c|} Temperature, $y = f(x)$ (^\circ C)&0&5&20 \\ [1ex] Temperature, $x$ (^\circ F)&32&41&68 \\ \end {tabular}](https://tex.z-dn.net/?f=%5Cbegin%20%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7C%7D%0ATemperature%2C%20%24y%20%3D%20f%28x%29%24%20%28%5E%5Ccirc%20C%29%260%265%2620%20%5C%5C%20%5B1ex%5D%0ATemperature%2C%20%24x%24%20%28%5E%5Ccirc%20F%29%2632%2641%2668%20%5C%5C%20%0A%5Cend%20%7Btabular%7D)
The formular for the function can be obtained by choosing two points from the table and using the formular for the equation of a straight line.
Recall that the equation of a straight line is given by
Using the points (32, 0) and (41, 5), we have:
Answer:
1. 8.3%
Step-by-step explanation:
Relative error = absolute error/expected measurement
The expected measurement is given as 6 ft.
Now, the absolute error is usually equal to half of a unit of the measure.
This means the absolute error in this case is ½ × 1 = 0.5 ft
Thus, the exact measurement will be;
6 ± 0.5
Thus;
Relative error = 0.5/6
Relative error = 0.083
Expressing it in percentage gives 8.3%
Answer:
The answers in order are:
slope-intercept form
slope of a line
y-intercept
Step-by-step explanation:
These are the definitions of the terms.
y=mx+b is called slope-intercept form because it contains the slope (m) and y-intercept (b)
slope of a line is change in y over change in x (steepness) which is m
y-intercept is point line intercepts y-axis and is b
Answer:
Number of trials are 250.
Step-by-step explanation:
A researcher finds 15% of all commuters in a metropolitan area take the train to work.
The researcher polls 250 people in the area to ask them whether they take the train to work or not.
We have tell the number of trials for this binomial experiment.
Researcher will do 250 trials to confirm whether they take the train work and this irrespective of their response.
There are two equations to express this problem. 1) expresses the total amount invested and 2) expresses the proportions of the amounts invested and how they relate to the interest earned . . .
1) x + y = 3000
2) 0.08x + 0.05y = 213
* from the first equation:
x + y = 3000
y = 3000 - x
*substitute this into the second equation
0.08x + 0.05(3000 - x) = 213
* solve for x
0.08x + 150 - 0.05x = 213
(0.08 - 0.05)x + 150 = 213
(0.03)x = 213 - 150
0.03x = 63
x = 63/0.03 = 2100
* now just substituting in for x the known value
y = 3000 - x = 3000 - 2100 = 900
This means:
$2100 was invested at 8% simple interest
$900 was invested at 5% simple interest
