Simplify and show work 5 1/3+(-3 9/18)
1 answer:
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Answer:
A) matches
B) matches
C) matches
D) matches
E) matches
Step-by-step explanation:
The sample space for the roll of six sided die and eight sided die:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (2,7), (2,8)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (3,7), (3,8)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (4,7), (4,8)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (5,7), (5,8)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (6,7), (6,8)
Therefore, the total number of outcomes (Sample space) = 48
Probability
A) The possible ways of obtaining both numbers are odd numbers and their product is greater than 10 are: (3,5), (3,7), (5,3), (5,5), (5,7)
Total number of possible ways = 5
Sample space = 48
The probability that both numbers are odd numbers and their product is greater than 10:
B) The possible ways of obtaining second number is twice the first number are: (1,2), (2,4), (3,6), (4,8)
Total number of possible ways = 4
Sample space = 48
The probability that the second number is twice the first number:
C) The possible ways of getting numbers whose sum is a multiple of 4 are: (1,3), (1,7), (2,2), (2,6), (3,1), (3,5), (4,4), (4,8), (5,3), (5,7), (6,2), (6,6)
Total number of possible ways = 12
Sample space = 48
The probability of getting numbers whose sum is a multiple of 4:
D) The possible ways of getting the sum of the two numbers is greater than 11 are: (4,8), (5,7), (5,8), (6,6), (6,7), (6,8)
Total number of possible ways = 6
Sample space = 48
the probability that the sum of the two numbers is greater than 11:
E) The possible ways of getting the second number rolled is less than the first number are: (1,2), (1,3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,4), (3,5), (3,6), (4,5), (4,6), (5,6)
Total number of possible ways = 15
Sample space = 48
The probability that the second number rolled is less than the first number:
Answer:
Step-by-step explanation:
Previous concepts
The mean absolute deviation or MAD "is the average of the absolute deviations or the positive difference of the given data and that certain value (generally central values)". And is given by this formula:
Solution to the problem
Assuming the info from the picture. So then the data is this one:
66,69,70,70,71,72,72,72,73,73,74,75,75,75
So the first step is find the mean for the dataset with the following formula:
And if we replace the values we got:
And now we need to subtract for each value the mean like this:
Data
66 5.929
69 2.929
70 1.929
70 1.929
71 0.929
72 0.0714
72 0.0714
72 0.0714
73 1.0714
73 1.0714
74 2.0714
75 3.0714
75 3.0714
75 3.0714
Now we need to add the deviations and divide by the the number of data values and we got:
