Answer:
7 yd
Step-by-step explanation:
You are finding the perimeter. Your answer should include yd (yd² is for area, yd³ is for 3d images).
Note that the two lines segments (? & 9) is parallel to the other line segment (16). Find the ?:
? + 9 = 16
? + 9 (-9) = 16 (-9)
? = 16 - 9
? = 7
7 yd is your answer
~
Always start with what’s in the parentheses:)
Answer:
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 1.96*\frac{14}{\sqrt{60}} = 3.5](https://tex.z-dn.net/?f=M%20%3D%201.96%2A%5Cfrac%7B14%7D%7B%5Csqrt%7B60%7D%7D%20%3D%203.5)
The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5
The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Answer:
r = -6
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
In which m is the slope and b is the y-intercept.
Slope 3/4
This means that
, and thus:
![y = \frac{3}{4}x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20%2B%20b)
(6,3)
This means that when
. We use this to find b. So
![y = \frac{3}{4}x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20%2B%20b)
![3 = \frac{3}{4}(6) + b](https://tex.z-dn.net/?f=3%20%3D%20%5Cfrac%7B3%7D%7B4%7D%286%29%20%2B%20b)
![b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}](https://tex.z-dn.net/?f=b%20%3D%203%20-%20%5Cfrac%7B18%7D%7B4%7D%20%3D%20%5Cfrac%7B12%7D%7B4%7D%20-%20%5Cfrac%7B18%7D%7B4%7D%20%3D%20-%5Cfrac%7B6%7D%7B4%7D)
So
![y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20-%20%5Cfrac%7B6%7D%7B4%7D%20%3D%20%5Cfrac%7B3x%20-%206%7D%7B4%7D)
(-6, r)
r is y when
. So
![y = \frac{3(-6) - 6}{4} = -6](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%28-6%29%20-%206%7D%7B4%7D%20%3D%20-6)
So r = -6.
it to calculate the cost of $100 for every 50lbs, you would use 100x
then you need to add that to the 1200
so the equation would be y = 1200+100x
B is the correct answer