Answer: 17x+9
Step-by-step explanation:
It dropped one degree as of last night.
Answer:
145.5x10 3
Step-by-step explanation:
145.5x10 raise to the power of 10
Answer:
x = 9 1/3
Step-by-step explanation:
We can use the ratios of similar triangles to solve
x 7
----------- = ------------
x+8 13
Using cross products
13x = 7(x+8)
Distribute
13x = 7x+56
Subtract 7x from each side
13x-7x = 7x+56-7x
6x = 56
Divide each side by 6
6x/6 = 56/6
x= 28/3
x = 9 1/3
Answer:
Method A.
Step-by-step explanation:
For solving this question we need to find out the z-scores for both methods,
Since, the z-score formula is,
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Where,
is mean,
is standard deviation,
Given,
For method A,
![\mu = 33](https://tex.z-dn.net/?f=%5Cmu%20%3D%2033)
![\sigma=8](https://tex.z-dn.net/?f=%5Csigma%3D8)
Thus, the z score for 34 is,
![z_1=\frac{34-33}{8}=0.125](https://tex.z-dn.net/?f=z_1%3D%5Cfrac%7B34-33%7D%7B8%7D%3D0.125)
While, for method B,
![\mu = 37](https://tex.z-dn.net/?f=%5Cmu%20%3D%2037)
![\sigma = 4](https://tex.z-dn.net/?f=%5Csigma%20%3D%204)
Thus, the z score for 34 is,
,
Since, ![z_1 > z_2](https://tex.z-dn.net/?f=z_1%20%3E%20z_2)
Hence, method A is preferred if the procedure must be completed within 34 minutes.