Answer:
6
Step-by-step explanation:
Deisha's build rate = 1 fence per 15 hours = 1/15 fences per hour
Travis's build rate = 1 fence per 12 hours = 1/12 fences per hour
Working together, their combined rate is 1/15 + 1/12 = 3/20 fences per hour
So it takes them 20/3 = 6 2/3 hours per fence
To find the z-score for a weight of 196 oz., use
A table for the cumulative distribution function for the normal distribution (see picture) gives the area 0.9772 BELOW the z-score z = 2. Carl is wondering about the percentage of boxes with weights ABOVE z = 2. The total area under the normal curve is 1, so subtract .9772 from 1.0000.
1.0000 - .9772 = 0.0228, so about 2.3% of the boxes will weigh more than 196 oz.
Answer:
There is 18% left of the pie.
Step-by-step explanation:
There is only 100% of a pie. If she at 82% then there is 18% left. 100-82=18
Complete the square.
Use de Moivre's theorem to compute the square roots of the right side.
Now, taking square roots on both sides, we have
Use de Moivre's theorem again to take square roots on both sides.
![\implies z = {w_2}^{1/2} = \boxed{\pm \sqrt[4]{3} \, \exp\left(-i\dfrac{5\pi}{12}\right)}](https://tex.z-dn.net/?f=%5Cimplies%20z%20%3D%20%7Bw_2%7D%5E%7B1%2F2%7D%20%3D%20%5Cboxed%7B%5Cpm%20%5Csqrt%5B4%5D%7B3%7D%20%5C%2C%20%5Cexp%5Cleft%28-i%5Cdfrac%7B5%5Cpi%7D%7B12%7D%5Cright%29%7D)
Answer:
D
Step-by-step explanation:
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