Answer:
Its B
Step-by-step explanation:
No of teachers in the school = 5
Salaries they make =40000 to 70000
When one of the five teachers reduce salary to 20000/- per year, median may or may not shift one number to the left
Mean will definitely decrease by difference/5 = 4000 dollars
Thus mean will defintely change by reduction of 4000 dollars.
Median has a chance to remain the same or may shift left side one item.
The compound inequality would be
0.23≤x≤1.63.
The graph would have a number line marked at least from 0.23 to 1.63; both of these numbers would have a filled in circle over them, and the area of the line between them would be shaded.
We must find the amount of tax for each city and each purchase amount:
9.75%=9.75/100 = 0.0975
0.0975(11.57) = 1.13
0.0975(81.43) = 7.94
7.75% = 7.75/100 = 0.0775
0.0775(11.57) = 0.90
0.0775(81.43) = 6.31
To find the differences in the tax amounts, we subtract:
1.13 - 0.90 = 0.23
7.94 - 6.31 = 1.63
Answer: 6.82
Step-by-step explanation:
So we know the Law of Sines which is that Sin A/a = Sin B/b = Sin C/c. The Sin on top of the fraction is the angle, and the letter on the bottom is the side opposite from that angle.
Our first step is going to be finding the last angle. We have 2 angles already, but one that's missing. We know that all triangles' angles add up to 180, so we can add 68+40=108. Then do 180-108 to get 72. Now we know the third and final angle.
Ok so back to Law of Sines. Now we can plug into that equation. We only need Sin A/a = Sin B/b (It doesn't matter what order you put them in). And remember the lowercase letter at the bottom represents the OPPOSITE side from one of the angles. Since the problem wants the side opposite Sin 68, let's set up a proportion.
Set up we have what we know. We know one side, and opposite that is the angle we already solved for. Now we can cross multiply and end up with:
Since we want to isolate x, we can divide each side by Sin 72.
x= 7(Sin 68)/Sin 72
So now let's put it into the calculator:
7(Sin 68)=6.2853
Now let's divide 6.2853/Sin 72
And you should be left with 6.82 if you round it!
The unit rate of 32 is 12
Equations:
x + y = 26
x - y = 4
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Add to get:
2x = 30
x = 15
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Solve for "y":
x + y = 26
15 + y = 26
y = 11 (smaller number)