90 square ft (try and look at it like each side is a 2d rectangle, find the areas of the sides and then add them up.)
The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
<h3>How to determine the standard deviation of the data set?</h3>
The dataset is given as:
Heart Rate Frequency
60 1
65 3
70 4
75 12
80 8
85 15
90 9
95 5
100 3
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 + 80 * 8 + 85 * 15 + 90 * 9 + 95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)
Evaluate
Mean = 82.25
The standard deviation is

So, we have:
SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 + 15 * (85 - 82.25)^2 + 9 * (90 - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]
This gives
SD = √85.9533898305
Evaluate
SD = 9.27
Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
Read more about standard deviation at:
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Answer:
2a = 108
Step-by-step explanation:
the 3 angles of the triangle add to 180
lets call the unknown angle in the triangle y
a+10 + y + 44 = 180
we also know that 2a+ y = 180 because it makes a straight line
solve this for y by subtracting 2a from each side
2a +y = 180
y = 180 -2a
now we can substitute this into the triangle equation
a+10 + y + 44 = 180
a+10 + 180 -2a + 44 = 180
combine like terms
-a +234 = 180
subtract 234 from each side
-a = --54
divide each side by -1
a =54
the exterior angle is 2a
2* 54
108
Answer:
8x + 8y
8 (x +y)
Step-by-step explanation:
When adding or subtracting, the terms should have exact variables like x.
3x + 5x + 8y
Here 3 and 5 have the same variable x so you can add them. (3+5=8)
8x + 8y
Now take out common number (here it's 8):
8 (x + y)
PEMDAS
57 - 12/4 x 3 = 57 - 3 x 3 = 57 - 9 = 48