Answer:
10
Step-by-step explanation:
12 ÷ 1 1/5
Change to an improper fraction
12 ÷ ( 5*1+1)/5
12 ÷ 6/5
Copy dot flip
12 * 5/6
12/6 * 5
2*5
10
A. is the answer. a2 + b2 = c2 is the formula used to find the hypotenuse (the longest leg)
The mean, variance, and standard deviation are 1, 8,33 and 2.89
<h3>How to find the mean, variance, and standard deviation?</h3>
The distribution is given as:
[a, b] = [-4, 6]
The mean is calculated as;
Mean = (a + b)/2
So, we have
Mean = (-4 + 6)/2
Evaluate
Mean = 1
The variance is calculated as;
Var = (b - a)^2/12
So, we have
Var = (6 + 4)^2/12
Evaluate
Var = 8.33
The standard deviation is calculated as;
SD= sqrt(Var)
So, we have
SD = sqrt(8.33)
Evaluate
SD = 2.89
Hence, the mean, variance, and standard deviation are 1, 8,33 and 2.89
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The frequency distribution table shows the distribution of the rice consumed by the families
- The range is 40
- The class width is 7
- The interval with the highest frequency is 34 - 40
<h3>How to construct the frequency table?</h3>
From the question, we have the interval to be:
Interval = 6
Start by calculating the range
Range = Highest - Least
This gives
Range = 60 - 20
Range = 40
Calculate the class width
Width = Range/Interval
This gives
Width = 40/6
Width = 7
So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61
Using the above classes, we have the following frequency distribution table.
<u>Class Frequency</u>
20 - 26 6
27 - 33 3
34 - 40 7
41 - 47 4
48 - 54 3
55 - 61 4
From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40
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