Answer:
y = -2x + 3 is the required equation
Step-by-step explanation:
From the graph we will get two ordered pairs
If we see that When x=0 then y=3 and when x = 1 then y=1
Now from this we can find the slope of the Graph
So slope of graph = (y2 - y1) / (x2-x1)
=(1-3) / (1-0)
=-2
So
Slope = m = -2
Now the equation is
y = mx + b
We have to find the value of b
as we have two ordered pairs we can take any of it to find the value of b because line passes through those points
taking (0,3) as a point
y= mx + b
put values
3 = -2*(0) + b
so
b=3
Now the equation of the line in this form is
y = mx + b
which is
y = -2x + 3
(20 + 22 + 17) - 7 - 12 - (9 - x) = 37;
59 - 19 - 9 + x = 37;
31 + x = 37;
x = C) 6
Answer:
7/3 is equivalent to 14/6
Answer:
2.5 inches per year
Step-by-step explanation:
We can deduce the rate of change by obtaining the slope or gradient of thw points given :
Gradient = Rise / Run.
Point A (2, 5) ; point B (4, 10)
x1 = 2 ; y1 = 5 ;x2 = 4 ; y2 = 10
Rise = y2 - y1 = 10 - 5 = 5
Run = x2 - x1 = 4 - 2 = 2
Rate of change = Gradient = 5 /2 = 2.5
Which is 2.5 inches per year
Answer: (72.535, 76.665)
Step-by-step explanation:
The confidence interval for population mean is given by :-
, where 
= population standard deviation.
n= Sample size
= sample mean.
= Critical z-value (two-tailed)
Given : 
n= 81
The critical values for 90% confidence interval : 
Now, the confidence interval for population mean would be :
Hence, a 90 percent confidence interval estimatefor the average score of all students. : (72.535, 76.665)
