Answer: Lin is the most consistent and I would want to have them on my team.
Why is this? Because their dots are more clustered together compared to the other distributions. Elena may have made the most shots (9) at one point, but her data set is very spread out and more unpredictable. The more spread out a data set is, the higher the variance and standard deviation. The range is also affected by how spread out the data set is since
range = max - min
So in a rough sense, the range can be used to estimate the variance and standard deviation. Though more accurate formulas are usually the better way to go.
Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.



PR = 
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.
The 3 numbers which should be placed between 12 and 60 are; 24, 36 and 48.
<h3>What three numbers should be placed between 12 and 60?</h3>
It follows from the task content that the first and last numbers are; 12 and 60 respectively.
Hence, since the difference between 12 and 60 is 48 and there are 4 transitions between the two numbers to have 5 total numbers,
It follows that the common difference is; 48/4 = 12 and the three numbers required are; 24,36 and 48.
Read more on common difference;
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This question involves a system of equations.
for the variables we will use c for computer, p for printer, and s for scanner.
in order to solve a system of equations, we need to solve one variable, so we will just pick c because we are solving for the computer.
when we set up the
equation, we need to convert all the variables into an applicable form of c, since that is the variable we are solving for. we can do this because we have information on how the other variables differ on c.
so we get these translations:
c = c
p = c - 1502
s = p - 123
however, the scanner is not translated to c yet, it is translated into p, but we know p can translate into c, so we plug in the equation for p as so:
s = (c - 1502) - 123
which translates to
s = c - 1625
now we have
c = c
p = c - 1502
s = c - 1625
now that we have the translations, we have to use the original equation given to us which is
c + p + s = 2543
which, with our translations can be said as
c + (c - 1502) + (c - 1625) = 2543
which simplifies to
3c - 3127 = 2543.
now, we add 3127 to both sides to get
3c = 5670
then, we divide 3 to both sides to get
c = 1890
so the computer costs 1890.
if you want to find the price for the printer and scanner, simply take c and plug it in to the other equations as so.
p = 1890 - 1502 (388)
s = 1890 - 1625 (265)
Answer:
-3 OR -6 / 3
Step-by-step explanation:
-24 - (-18) = -6
12 - 9 = 3
-6 / 3
Can be simplified down to -3