Answer:
Step-by-step explanation:
To find the equation, use the slope-intercept formula:
m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:
Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
Solve:
Since both are negative, the result is a positive:
Insert this into the equation as m, the slope:
Done.
Answer:
Step-by-step explanation:
Goven the length of the field = 110m
Width = 80m
The length of the diagonal is expressed using the pythagoras theorem;
d² = l² + w²
d² = 110² + 80²
d² = 12100 + 6400
d² = 18500
d = √18500
d = 136.01
Hence the players have to run 136.01m diagonally
Answer:
a) 
And replacing we got:
b)
And replacing we got:
c) 
And replacing we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that 
If we solve for x from the z score formula we got:
And replacing we got:
Part b
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that 
If we solve for x from the z score formula we got:
And replacing we got:
Part c
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that 
If we solve for x from the z score formula we got:
And replacing we got:
For the information given, a line segment of 4 inches can be drawn
<h3>How to illustrate the segment?</h3>
For the 'copy', you would measure the line drawn, and duplicate it to the right, measuring it to make sure it is the exact length of the first line.
To bisect the original line segment, measure the line with a ruler or other device, and calculate 1/2 distance from one end, mark it, measure from left end to mark, make sure right section is equal in length.
Draw an angle of 90 degree and label it to avoid confusion. Now use a scale to draw a ray and label the vertex point so we can know the point where to place compass. Use compass to draw an arc on angle. This angle will help you measure where to put the new point on our new angle.
Similarly draw the same arc on the new ray. This is the first step in finding the new point. Then, use compass to measure the difference between the two places where the arc meets the angle on angle.
Furthermore, use the measurements from the previous step to draw another arc. This step is to help establish a point where the two arcs meet. Now draw a point where the two arcs met and drew a line through it.
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