SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council
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Answer:
(1, 1), (2, 2.333) and (3, 3.666).
Step-by-step explanation:
To solve this equation, we can select various values for x and then compute the corresponding y values.
<pFor instance, when x = 1, we find:4*1 - 3y = 1
3y = 3
y = 1
When x = 2, we discover:
4*2 - 3y = 1
3y = 7
y = 2.333
Then for x = 3, we have:
4*3 - 3y = 1
3y = 11
y = 3.666
Therefore, the coordinates we will plot are (1, 1), (2, 2.333), and (3, 3.666).
Refer to the attached image for the plot.
We are given the triangle
△ABC, with m∠A=60° and m∠C=45°, and AB=8.
To start, we will calculate all angles and sides.
Finding angle B:
The total of all angles in a triangle equals 180.
m∠A + m∠B + m∠C = 180.
Substituting the known values,
60° + m∠B + 45° = 180.
This gives us m∠B = 75°.
Calculating BC:
Using the law of sines,
We can substitute in the values.
Finding AC:
Now we'll input the values.
Calculating Perimeter:
We substitute values here as well.
Calculating Area:
Using the area formula,
we can then insert values.
...............Answer