Answer:
69
Step-by-step explanation:
as , 77+x = 146(external angle) , so x = 146 - 77
so x = 69
Answer:
6x + 3.5y is greater than 60
Step-by-step explanation:
Cost of x bags of popcorn = 6x
Cost of y bottles of soda = 3.5y
Total cost = 6x + 3.5y
To get a souvenir poster, this cost must exceed 60
Answer:
V≈461.81cm³
Step-by-step explanation:
<span>g(x) = x^3 - 9x^2 + 2x + 48 ?
Probe some roots. When you use x = - 2
you will have: (-2)^3 - 9(-2)^2 + 2(-2) + 48 = -8 - 36 - 4 + 48 = 0
So, - 2 is a root
From that you can divide x^3 - 9x^2 + 2x + 48 by x + 2 and you will get
x^2 - 11x + 24
Then you can factor that: (x - 8)(x - 3)
So, the three roots are x = - 2, x = 3 and x = 8, which is the option B.
Answer: option B. x = 8, x = -2 , and x = 3
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Part a)
MAD = median of absolute deviations
MAD = median of the set formed by : |each value - Median|
Then, first you have to find the median of the original set
The original set is (<span>38, 43, 45, 50, 51, 56, 67)
The median is the value of the middle (when the set is sorte). This is 50.
Now calculate the absolute deviation of each data from the median of the data.
1) |38 - 50| = 12
2) |43 - 50| = 7
3) |45 - 50| = 5
4) |50 - 50| = 0
5) |51 - 50| = 1
6) |56 - 50| = 6
7) |67 - 50| = 17
Now arrange the asolute deviations in order
(0, 1, 5, 6, 7, 12, 17)
The median is the value of the middle: 6.
Then the MAD is 6.
Part b) MAD represents the median of the of the absolute deviations from the median of the data.
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