A+5=6
Subtract 5 from both sides
A+5-5=6-5
A=1
Hope that helps
Answer:
6- Part A: ![750a+1200r=1000000](https://tex.z-dn.net/?f=750a%2B1200r%3D1000000)
Part B: ![1065a+876r=1000000](https://tex.z-dn.net/?f=1065a%2B876r%3D1000000)
Solution of the system: ![a\approx521.739\;\;\;\;b\approx507.246](https://tex.z-dn.net/?f=a%5Capprox521.739%5C%3B%5C%3B%5C%3B%5C%3Bb%5Capprox507.246)
Step-by-step explanation:
<u>Part A:</u>
In words, the equation is formed like this:
Total kg of Arabica + Total kg of Robusta = Total kg of coffee
Now, the total of each yield is calculated by the product of kg/hectare and number of hectares. Thus, the equation is:
![750a+1200r=1000000](https://tex.z-dn.net/?f=750a%2B1200r%3D1000000)
<u>Part B:</u>
In words:
Arabica's worth + Robusta's worth = plantation worth
Each yield's worth is given by the product of the price per kg and the corresponding production. So, the equation is:
![1.42(750a)+0.73(1200r)=1000000\\1065a+876r=1000000](https://tex.z-dn.net/?f=1.42%28750a%29%2B0.73%281200r%29%3D1000000%5C%5C1065a%2B876r%3D1000000)
Answer:
1/9
Step-by-step explanation:
1/3*1/3=1/9
1888888888888888888777754%&-76$$
Answer:
He must survey 123 adults.
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.
In which
z is the z-score that has a p-value 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)
Assume that a recent survey suggests that about 87% of adults have heard of the brand.
This means that ![\pi = 0.87](https://tex.z-dn.net/?f=%5Cpi%20%3D%200.87)
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage?
This is n for which M = 0.05. 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)
![0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}](https://tex.z-dn.net/?f=0.05%20%3D%201.645%5Csqrt%7B%5Cfrac%7B0.87%2A0.13%7D%7Bn%7D%7D)
![0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}](https://tex.z-dn.net/?f=0.05%5Csqrt%7Bn%7D%20%3D%201.645%5Csqrt%7B0.87%2A0.13%7D)
![\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.645%5Csqrt%7B0.87%2A0.13%7D%7D%7B0.05%7D)
![(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E2%20%3D%20%28%5Cfrac%7B1.645%5Csqrt%7B0.87%2A0.13%7D%7D%7B0.05%7D%29%5E2)
![n = 122.4](https://tex.z-dn.net/?f=n%20%3D%20122.4)
Rounding up:
He must survey 123 adults.