The answer would be 516.66666667 is your answer have a very nice day
Answer:
Socratic app
Step-by-step explanation:
it will help you
Answer:
8 tickets
Step-by-step explanation:
x = 10 in the given equation.
We have then:
C (x) = 17.5x - 10
C (10) = 17.5 * (10) - 10
C (10) = 165
Answer:
to buy 10 tickets cost:
$ 165
b. How many tickets can you buy with $ 130?
For this case we must make the substitution: C (x) = 130
We have then:
C (x) = 17.5x - 10
130 = 17.5x - 10
Clearing x we have:
17.5x = 130 + 10
17.5x = 140
x = (140) / (17.5)
x = 8
Answer:
You can buy 8 tickets with $ 130
The vertex form needed is :
![-6(x-0.25)^2 +2.375](https://tex.z-dn.net/?f=-6%28x-0.25%29%5E2%20%2B2.375)
Given the equation:
![-6x^2 + 3x + 2\\](https://tex.z-dn.net/?f=-6x%5E2%20%2B%203x%20%2B%202%5C%5C)
The vertex form of
is given by:
![f(x) = a(x-h)^2 + k](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%28x-h%29%5E2%20%2B%20k)
Here, (h,k) is the vertex of the parabola equation given.
Conversion will go like this:
![-6x^2 + 3x + 2\\= -6(x^2 - 0.5x) + 2\\= -6(x^2 -0.5x + 0.0625 - 0.0625) + 2\\= -6(x^2 -0.5x + 0.0625) + 2 +0.375\\= -6(x-0.25)^2 + 2.375\\\\](https://tex.z-dn.net/?f=-6x%5E2%20%2B%203x%20%2B%202%5C%5C%3D%20-6%28x%5E2%20-%200.5x%29%20%2B%202%5C%5C%3D%20-6%28x%5E2%20-0.5x%20%2B%200.0625%20-%200.0625%29%20%2B%202%5C%5C%3D%20-6%28x%5E2%20-0.5x%20%2B%200.0625%29%20%2B%202%20%2B0.375%5C%5C%3D%20-6%28x-0.25%29%5E2%20%2B%202.375%5C%5C%5C%5C)
This is the resultant vertex form.
Thus the vertex form needed is :
![-6(x-0.25)^2 +2.375](https://tex.z-dn.net/?f=-6%28x-0.25%29%5E2%20%2B2.375)
Learn more here:
brainly.com/question/15165354
Answer:
We need at least 243 stores.
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 of the interval 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)
For this problem, we have that:
![n = 70, p = \frac{62}{70} = 0.886](https://tex.z-dn.net/?f=n%20%3D%2070%2C%20p%20%3D%20%5Cfrac%7B62%7D%7B70%7D%20%3D%200.886)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95% confidence using the large-sample method.
We need at least n stores.
n is found when M = 0.04. 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)
![0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}](https://tex.z-dn.net/?f=0.04%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.886%2A0.114%7D%7D%7Bn%7D%7D)
![0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}](https://tex.z-dn.net/?f=0.04%5Csqrt%7Bn%7D%20%3D%201.96%5Csqrt%7B0.886%2A0.114%7D)
![\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%5Csqrt%7B0.886%2A0.114%7D%7D%7B0.04%7D)
![(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.96%5Csqrt%7B0.886%2A0.114%7D%7D%7B0.04%7D%29%5E%7B2%7D)
![n = 242.5](https://tex.z-dn.net/?f=n%20%3D%20242.5)
Rounding up
We need at least 243 stores.