Answer:
The diagram of the plotting point
is attached below.
Step-by-step explanation:
Given the points
![\left(3\frac{1}{2},\:2\frac{3}{4}\right)](https://tex.z-dn.net/?f=%5Cleft%283%5Cfrac%7B1%7D%7B2%7D%2C%5C%3A2%5Cfrac%7B3%7D%7B4%7D%5Cright%29)
as
![3\frac{1}{2}=\frac{7}{2}=3.5](https://tex.z-dn.net/?f=3%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B7%7D%7B2%7D%3D3.5)
![2\frac{3}{4}=\frac{11}{4}=2.75](https://tex.z-dn.net/?f=2%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B11%7D%7B4%7D%3D2.75)
so the point can be visualized as:
![\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)](https://tex.z-dn.net/?f=%5Cleft%283%5Cfrac%7B1%7D%7B2%7D%2C%5C%3A2%5Cfrac%7B3%7D%7B4%7D%5Cright%29%3D%5Cleft%283.5%2C%5C%3A2.75%5Cright%29)
Now, we can check the point x = 3.5, and determine the corresponding value y = 2.75 and plot the point at the location (x, y) = (3.5, 2.75)
The diagram of the plotting point
is attached below.
Answer:
Step-by-step explanation:
3+2x=51
2x=51-3
2x=48
x=48/2
x=24
SARAH'S AGE IS 24 YEARS
Answer:
[2.053 , 3.227]
Step-by-step explanation:
The 95% confidence interval is given by the interval
![\large [\bar x-t^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x-t%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%2C%20%5Cbar%20x%2Bt%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%5D)
where
<em> = the sample mean </em>
<em>s = the sample standard deviation </em>
<em>n = the sample size</em>
is the 0.05 (5%) upper critical value for the <em>Student's t-distribution with 14 degrees of freedom</em> (sample size -1), which is an approximation to the Normal distribution for small samples (n<30).
Either by using a table or the computer, we find
![\large t^*= 2.145](https://tex.z-dn.net/?f=%5Clarge%20t%5E%2A%3D%202.145)
and our 95% confidence interval is
![\large [2.64-2.145*\frac{1.06}{\sqrt{15}}, 2.64+2.145*\frac{1.06}{\sqrt{15}}]=\boxed{[2.053,3.227]}](https://tex.z-dn.net/?f=%5Clarge%20%5B2.64-2.145%2A%5Cfrac%7B1.06%7D%7B%5Csqrt%7B15%7D%7D%2C%202.64%2B2.145%2A%5Cfrac%7B1.06%7D%7B%5Csqrt%7B15%7D%7D%5D%3D%5Cboxed%7B%5B2.053%2C3.227%5D%7D)
Answer: 17000
Step-by-step explanation: Multiply the mass value by 1000
Answer:
14.5x + 25
Step-by-step explanation:
note that (C + R)(x) = C(x) + R(x), thus
C(x) + R(x) = 2.5x + 25 + 12x = 14.5x + 25