Answer:
Part A: YES, it is.
Part B: the amount of pumpkin picked and the amount of fertilizer applied.
Step-by-step explanation:
Part A:
The closer the correlation coefficient is to 1, the stronger the relationship between two variables, and vice versa. Also, the closer the data points are on a scatter plot, the closer the correlation coefficient is to 1.
The scatter plot shown indicates a positive correlation between number of days and number of pumpkins. However, the data points are to some extent farther apart from each other. This shows a moderate relationship between the two variables. Therefore, a correlation coefficient, r, of 0.51 that was calculated can be concluded to be accurate , because an r of 0.51 depicts a moderate relationship between two variables.
Part B:
A variable that could affect the number of pumpkins picked could be amount of fertilizer applied, instead of the day in October. Thus, we can compare the amount of pumpkin picked and the amount of fertilizer applied.
Everything on this whole sheet is unit rates. Everything ! For the 2 carpenters, find the unit rate for each one (windows / hours), then see if one carpenter is doing more windows per hour than the other one. Don't forget THE RULE I gave you yesterday, when we were doing the detergent and the peanut butter.
If 3c+4d=2 then c=(2-4d)/3
And if you put that into the other equation
![{\frac{2 - 4d}{3}}^{2} + {d}^{2} = 5](https://tex.z-dn.net/?f=%20%7B%5Cfrac%7B2%20-%204d%7D%7B3%7D%7D%5E%7B2%7D%20%20%2B%20%20%7Bd%7D%5E%7B2%7D%20%20%3D%205)
Then you multiply everything by 3, getting
![{(2 - 4d)}^{2} + 3 {d}^{2} = 15](https://tex.z-dn.net/?f=%20%7B%282%20-%204d%29%7D%5E%7B2%7D%20%20%2B%203%20%7Bd%7D%5E%7B2%7D%20%20%3D%2015)
And then
![2 - 4d + \sqrt{3} d = \sqrt{15}](https://tex.z-dn.net/?f=2%20-%204d%20%2B%20%20%5Csqrt%7B3%7D%20d%20%3D%20%20%5Csqrt%7B15%7D%20)
Leaving
![d( \sqrt{3} - 4) = \sqrt{15} - 2](https://tex.z-dn.net/?f=d%28%20%5Csqrt%7B3%7D%20%20-%204%29%20%3D%20%20%5Csqrt%7B15%7D%20%20-%202)
I dont have a calc with me right now but you just pot this into the calculator:
![d = \frac{ \sqrt{15} - 2 }{ \sqrt{3} - 4}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B15%7D%20-%202%20%7D%7B%20%5Csqrt%7B3%7D%20%20-%204%7D%20)
And when you get the number you insert it into the nest eqation to get c
![c = \frac{2 - 4d}{3}](https://tex.z-dn.net/?f=c%20%3D%20%20%5Cfrac%7B2%20-%204d%7D%7B3%7D%20)
So basically
sinx=sin(π3−π)=−sin(π3)=−12.
cosx=cos(π3−π)=−cos(π3)=−√32.
tanx=−12−√32=1√3=√3.
cotx=1√3=√33.
secx=1cos=−2√3=−2√33.
cscx=1sin=−2.
Answer:
3 units
Step-by-step explanation:
Since the y-coordinate is the same. Therefore, there is a straight horizontal line between the two points. So, again, since the y-coordinates are the same, we can subtract C(x) (the x-coordinate for point C) from D(x) (the x-coordinate for point C)
C(x) = 3.5
D(x) = 0.5
3.5 - 0.5 = 3
Therefore, the distance between the two points is 3 units