Answer:
27+23K
Step-by-step explanation:
Use distributive property
15+20k+12+3K
Now combine like terms
23K+27
thats your answer
Answer:
![y=\frac{-1}{2}x+7](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-1%7D%7B2%7Dx%2B7)
Step-by-step explanation:
Slope intercept form:
when
is the slope of the line and
is the y-intercept (the y-coordinate of the point the line crosses the y-axis)
<u>1) Find the slope (</u>
<u>)</u>
when the points are
and ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):
![m=\frac{0-7}{14-0}\\m=\frac{-7}{14}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0-7%7D%7B14-0%7D%5C%5Cm%3D%5Cfrac%7B-7%7D%7B14%7D)
Simplify the fraction
![m=\frac{-1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1%7D%7B2%7D)
So far, our equation looks like this:
![y=\frac{-1}{2}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-1%7D%7B2%7Dx%2Bb)
<u>2) Find the y-intercept (</u>
<u>)</u>
The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.
Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore,
.
Now, this is our final equation after plugging in
and
:
![y=\frac{-1}{2}x+7](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-1%7D%7B2%7Dx%2B7)
I hope this helps!
<h2>
Answer with explanation:</h2>
As per given , we have
Sample size : n= 5
Degree pf freedom = : df= 5-1=4
![\mu=\$75.00](https://tex.z-dn.net/?f=%5Cmu%3D%5C%2475.00)
![\sigma=\$13.00](https://tex.z-dn.net/?f=%5Csigma%3D%5C%2413.00)
Significance level for 90% confidence = ![\alpha=1-0.90=0.1](https://tex.z-dn.net/?f=%5Calpha%3D1-0.90%3D0.1)
Using t-value table , t-critical value for 90% confidence:
![t_{\alpha/2, df}=t_{0.05, 4}=2.132.](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20df%7D%3Dt_%7B0.05%2C%204%7D%3D2.132.)
Margin of error of
: ![E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\(2.132)\dfrac{13}{\sqrt{5}}=12.3949720129\approx12.39](https://tex.z-dn.net/?f=E%3Dt_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%282.132%29%5Cdfrac%7B13%7D%7B%5Csqrt%7B5%7D%7D%3D12.3949720129%5Capprox12.39)
Interpretation : The repair cost will be within $12.39 of the real population mean value
90% of the time.
Answer:
Step-by-step explanation:
Joint variation has the equation
y = kxz
k is the constant of variation and needs to be solved for using the initial conditions, then filled in later to another equation related to the given info to solve for something else. We are given y = amount of oil used, x = distance traveled, z-squared is the speed. Our equation looks like this, to be exact:
![y=kxz^2](https://tex.z-dn.net/?f=y%3Dkxz%5E2)
Filling in with the initial conditions:
which gives us the
k = .0014166667
Now we need to find the amount of oil used, y, under other circumstances, but this time we have our k.
![y=(.0014166667)(32)(23)^2](https://tex.z-dn.net/?f=y%3D%28.0014166667%29%2832%29%2823%29%5E2)
which gives us that the amount of oil used, when rounded to the tenths,
y = 24.0 barrels
Answer:
7 1/3 inches
Step-by-step explanation:
2 (1 3/4 + 1 11/12)
9+11
3/4+11/12= -------------
12
20/12
=1 2/3+ 2
2(3 2/3)
= 7 1/3