Answer:
4 hours
Step-by-step explanation:
Let x = # of hours
22x + 10 = 98
-10 -10
____________
22x = 88
22
x = 4
N - the number
8/100 × n = 0.08 × n = 0.08n
The answer is the
The shape has 6 equal Square face
Because each side had 6
That on of the answer the next the shape has 6 vertices
Also the shape is soild
Answer:
The correct answer is
(0.0128, 0.0532)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
Z is the zscore that has a pvalue of ![1 - \frac{\alpha}{2}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B%5Calpha%7D%7B2%7D)
For this problem, we have that:
In a random sample of 300 circuits, 10 are defective. This means that
and ![\pi = \frac{10}{300} = 0.033](https://tex.z-dn.net/?f=%5Cpi%20%3D%20%5Cfrac%7B10%7D%7B300%7D%20%3D%200.033)
Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.
So
= 0.05, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7B300%7D%7D%20%3D%200.033%20-%201.96%5Csqrt%7B%5Cfrac%7B0.033%2A0.967%7D%7B300%7D%7D%20%3D%200.0128)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7B300%7D%7D%20%3D%200.033%20%2B%201.96%5Csqrt%7B%5Cfrac%7B0.033%2A0.967%7D%7B300%7D%7D%20%3D%200.0532)
The correct answer is
(0.0128, 0.0532)
Answer:
6.5
Step-by-step explanation:
6.5+(3.5*2)-7/3
6.5+(7-7)/3
6.5+0/3
6.5+0
6.5