Answer:
a) 48.408
b) 1.235
Step-by-step explanation:
a)
The average hardness value xbar can be computed as
xbar=sum of values/number of values
xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12
xbar=580.9/12
xbar=48.408 (rounded to 3 decimal places).
The average hardness value is 48.408.
b)
The standard deviation hardness value s can be computed as
x x-xbar (x-xbar)
²
46.5 -1.90833 3.64174
46.9 -1.50833 2.27507
49.4 0.99167 0.98340
50.3 1.89167 3.57840
49.8 1.39167 1.93674
48.8 0.39167 0.15340
47.0 -1.40833 1.98340
47.7 -0.70833 0.50174
48.3 -0.10833 0.01174
49.4 0.99167 0.98340
47.8 -0.60833 0.37007
49.0 0.59167 0.35007
Total 16.7692
s=1.235 (rounded to 3 decimal places)
The standard deviation hardness value is 1.235.
When you raise a number to a negative exponent, change the exponent to a positive and make the complete number a fraction with 1 as the numerator.
5 ^-2 = 1/5^2
The answer is C.
Answer:
3, 15, 14
Step-by-step explanation:
x + 5x + ( 5x -1) = 32
11x - 1 = 32
11x = 32 + 1
11x = 33
11x/11 = 33/11
x = 3
therefore
the first number is 3
the second is 5 × 3 = 15
the third number is 15 - 1 = 14
Answer:
the answer is 1.16 shirts
Step-by-step explanation:
the mean absolute deviation is found by finding the average of the difference between each data point and the mean of the data.
1st...find the mean of the data by adding all the numbers according to the data plotted and dividing the by the numbers listed; which in this case is 10
1 +2+ 2+ 3+ 3+ 3+ 4+ 4+ 5+ 6 = 3.3
mean is 3.3
then find the difference between the mean and each data point
Data Point = 1 2 2 3 3 3 4 4 5 6
Difference from mean = 2.3 1.3 1.3 0.3 0.3 0.3 0.7 0.7 1.7 2.7
Find the average of these differences by adding the (differences from Mean) by 10
<u>2.3 + 1.3 + 1.3 + 0.3 + 0.3 + 0.3 + 0.7 + 0.7 + 1.7 + 2.7</u>
10
the mean absolute deviations is 1.16 shirts
Answer:
400
Step-by-step explanation:
You would multiply 40 by 10=400
