Answer:
-5
Step-by-step explanation:
This is the correct answer, I messed up at first so I edited it. (my bad)
Answer:
Step-by-step explanation:
A) 5x = 3(x - 2.5)
-----------------------
B)
Distribute
5x = 3x - 7.5
Subtract 3x from both sides
2x = -7.5
Divde both sides by 2
x = -3.75
-----------------------
C)
5 * (-3.75) = 3(-3.75 - 2.5)
-18.75 = -18.75
D)
Tanya paid –$3.75 for each of 5 items
Tony paid –$6.25 for each of 3 items
There seems to be an error in the question since the cost of items is negative
Tony bought fewer items and paid less for each.
Answer: 40
Step-by-step explanation:
Finding perimiter is simple! You add the L & the W by each other and then times that by 2!
15 + 5 = 20
20 X 2 = 40!
- R3KTFORGOOD ☕
Answer:
We need a sample size of least 119
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)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Sample size needed
At least n, in which n is found when ![M = 0.09](https://tex.z-dn.net/?f=M%20%3D%200.09)
We don't know the proportion, so we use
, which is when we would need the largest sample size.
![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)
![0.09 = 1.96\sqrt{\frac{0.5*0.5}{n}}](https://tex.z-dn.net/?f=0.09%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.5%2A0.5%7D%7Bn%7D%7D)
![0.09\sqrt{n} = 1.96*0.5](https://tex.z-dn.net/?f=0.09%5Csqrt%7Bn%7D%20%3D%201.96%2A0.5)
![\sqrt{n} = \frac{1.96*0.5}{0.09}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A0.5%7D%7B0.09%7D)
![(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.09})^{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%7B0.09%7D%29%5E%7B2%7D)
![n = 118.6](https://tex.z-dn.net/?f=n%20%3D%20118.6)
Rounding up
We need a sample size of least 119
Answer: 1/6
Invert 6/5 which becomes 5/6 and then multiply
3/15×5/6= 15/90
Which simplified becomes 1/6