Write and solve an equation, as follows:
-7y + 5(3+ny) = 3y + 15. We are to find the value of 'n.'
-7y + 15 + 5ny = 3y + 15.
Subtracting 15 from both sides, we get -7y + 5ny = 3y
Grouping like terms, we get 5ny = 3y + 7y = 10y
Dividing both sides by 5y, we get n = 2 (answer)
Answer:
x = 42
Step-by-step explanation:
The angle between the tangent and the secant is
difference of the measure of the intercepted arcs, that is
x = 0.5( 136 - 52) = 0.5 × 84 = 42
Answer:
Price of each phone: ![\$9](https://tex.z-dn.net/?f=%5C%249)
Price of each accessory: ![\$3.5](https://tex.z-dn.net/?f=%5C%243.5)
Step-by-step explanation:
Let be "p" the price in dollars of each phone and "a" the price in dollars of each accessory.
Set up a system of equations:
![\left \{ {{8p+10a=107} \atop {4p+23a=116.50}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B8p%2B10a%3D107%7D%20%5Catop%20%7B4p%2B23a%3D116.50%7D%7D%20%5Cright.)
You can use the Elimination Method to solve the system.
Multiply the second equation by -2 and add both equations:
![\left \{ {{8p+10a=107} \atop {-8p-46a=-233}} \right.\\............................\\-36a=-126\\\\a=\frac{-126}{-36}\\\\a=3.5](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B8p%2B10a%3D107%7D%20%5Catop%20%7B-8p-46a%3D-233%7D%7D%20%5Cright.%5C%5C............................%5C%5C-36a%3D-126%5C%5C%5C%5Ca%3D%5Cfrac%7B-126%7D%7B-36%7D%5C%5C%5C%5Ca%3D3.5)
Substitute the value of "a" into the first equation and solve for "p":
![8p+10(3.5)=107\\\\8p=107-35\\\\p=\frac{72}{8}\\\\p=9](https://tex.z-dn.net/?f=8p%2B10%283.5%29%3D107%5C%5C%5C%5C8p%3D107-35%5C%5C%5C%5Cp%3D%5Cfrac%7B72%7D%7B8%7D%5C%5C%5C%5Cp%3D9)
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.
</span>
Answer:
the answer is 235/655= 0.358778