Step-by-step explanation:
f(x)+q(x)
➜3x+5+0
➜3x+5
➜f(x)
<h3>Hence proved</h3>
Answer:
585$
Step-by-step explanation:
25% of 450$ is 112.5
5% is 22.5
add all of this to the 450 and you get the answer!
Answer:
The conditions for carrying out a significance test are:
1. It must be a Random sampling
2. It should be a Normal distribution
3. It should be Independent
Step-by-step explanation:
SRS means simple random sample; it is a sampling technique in which individuals can be chosen from the population in such a way that every individual stands an equal chance to be selected as the sample.
The conditions needed or required to carry out a significance test of the teacher's suspicion are:
1. It must be a Random sampling
2. It should be a Normal distribution
3. It should be Independent
All of these conditions are met; the sampling is random as indicated by SRS, it is a normal distribution because one popular rule states that a sample size of at least 30 is enough and here we have a sample size of 45, it is independent because the sample size of 45 is less than 10% of the population
Answer:
Step-by-step explanation:
5x + 2y = 20
Here we will show you how to calculate the following:
Calculate and show the solution for the x-intercept and y-intercept of 5x + 2y = 20.
Calculate the graph plot coordinates for 5x + 2y = 20
Solve 5x + 2y = 20 for x and also for y.
Calculate and show the solution for the slope of 5x + 2y = 20
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
5x + 2y = 20
5x + 2(0) = 20
x1 = 4 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
5x + 2y = 20
5(0) + 2y = 20
y2 = 10 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 5x + 2y = 20 as follows:
(x1,y1) and (x2,y2)
(4,0) and (0,10)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 5x + 2y = 20
m = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 - 4)
m = -2.5
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