Answer: $35.35
Step-by-step explanation:
Facts
3 items
item 1: 8.95
item 2: 11.49
item 3: 12.75
6.5% sales tax
Step 1: Find the total cost of the items ,before tax
8.95+11.49+12.75= 33.19
Step 2: Apply the sales tax
6.5% of 33.19 = 2.15735 --> approximatley $2.16
Step 3: Add the sales tax amount to the total cost of the items to find the final total cost.
$33.19+$2.16= $35.35
Hence the answer is B
Hope this helps !! :)) And brainliest would be appreciated
Answer:
A. 5
Step-by-step explanation:
Parallel lines have the same slope.
Answer:
a) ![n = 9604](https://tex.z-dn.net/?f=n%20%3D%209604)
b) n = 381
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, 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
.
The margin of error is:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
a. Assume that nothing is known about the percentage of computers with new operating systems. n = ?
When we do not know the proportion, we use
, which is when we are going to need the largest sample size.
The sample size is n when M = 0.01.
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
![0.01 = 1.96\sqrt{\frac{0.5*0.5}{n}}](https://tex.z-dn.net/?f=0.01%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.5%2A0.5%7D%7Bn%7D%7D)
![0.01\sqrt{n} = 1.96*0.5](https://tex.z-dn.net/?f=0.01%5Csqrt%7Bn%7D%20%3D%201.96%2A0.5)
![\sqrt{n} = \frac{1.96*0.5}{0.01}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A0.5%7D%7B0.01%7D)
![(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.01})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.96%2A0.5%7D%7B0.01%7D%29%5E%7B2%7D)
![n = 9604](https://tex.z-dn.net/?f=n%20%3D%209604)
b. Assume that a recent survey suggests that 99% of computers use a new operating system. n = ?
Now we have that
. So
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
![0.01 = 1.96\sqrt{\frac{0.99*0.01}{n}}](https://tex.z-dn.net/?f=0.01%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.99%2A0.01%7D%7Bn%7D%7D)
![0.01\sqrt{n} = 1.96*\sqrt{0.99*0.01}](https://tex.z-dn.net/?f=0.01%5Csqrt%7Bn%7D%20%3D%201.96%2A%5Csqrt%7B0.99%2A0.01%7D)
![\sqrt{n} = \frac{1.96*\sqrt{0.99*0.01}}{0.01}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A%5Csqrt%7B0.99%2A0.01%7D%7D%7B0.01%7D)
![(\sqrt{n})^{2} = (\frac{1.96*\sqrt{0.99*0.01}}{0.01})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.96%2A%5Csqrt%7B0.99%2A0.01%7D%7D%7B0.01%7D%29%5E%7B2%7D)
![n = 380.3](https://tex.z-dn.net/?f=n%20%3D%20380.3)
Rouding up
n = 381
Answer:
Yuh smooth brain
Step-by-step explanation:
Noice