Answer: V(X) = 0.96
Step-by-step explanation: <u>Variance</u> is defined as the average of the squared difference from the sample or population mean.
For a discrete frequency distribution is calculated following the steps:
1) Determine expected value or mean:
E(X) = 1.2
2) Multiply frequency and the squared difference of x and expected value:
3) Add them:
![\Sigma [f(x-E(X))^{2}]](https://tex.z-dn.net/?f=%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D)
= 1008 + 36 + 384 + 972 = 2400
4) Divide the sum per frequency total:
![V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}](https://tex.z-dn.net/?f=V%28X%29%3D%5Cfrac%7B%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D%7D%7B%5CSigma%20f%7D)
V(X) = 0.96
The variance of the number of cups of coffee is <u>0.96</u>.
The length would be 10 inches.
to find perimeter, you add length+length+width+width.
since both widths and both lengths have to be the same, u add the width 2 times or 7+7=14.
next u subtract 14 from 34 or 34-14=20.
since u still have 2 lengths that are equal, u divide 20 by 2 or 20/2=10
hope this helps! :)
It is convenient to start with the 2-point form of the equation for a line.
... y - y1 = (y2 - y1)/(x2 - x1)×(x - x1)
Either point can be (x1, y1), and the other can be (x2, y2). If we take them in order, we get
... y - 4 = (16 - 4)/(5 - 3)×(x - 3) . . . . . fill in the two points
... y = 12/2(x -3) +4 . . . . . . . . . . . . . . add 4, simpliffy a bit
... y = 6x -18 +4 . . . . . . . . . . . . . . . . . eliminate parentheses
... y = 6x -14 . . . . . . . . . . . . . . . . . . . . put in slope-intercept form
Answer:
Yes (3.71428571429)
Step-by-step explanation:
all mixed numbers and fractions can be changed into decimals. The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.
