Answer:
-6 3/8 < -7/8
Step-by-step explanation:
Answer:
-6 3/8 < -7/8
Showing Work
Using the given inputs:
-6 3/8 -7/8
Rewriting these inputs as improper fractions:
-51/8 and -7/8
Since we have like denominators we compare the inputs by the numerators:
Therefore, comparison shows:
-6 3/8 < -7/8
Solution -
The probability of getting 6 from a single roll of a fair dice = 
The probability of getting any other number rather than 6 would be
So when the outcome is 6, then he wins $5 ,otherwise he has to pay $2
So
E(X) = Expectation value =
( ∵ $5 gain so +ve and $2 loss so -ve)
=
∴ So Merrill will lose
dollar
Since one gallon is equal to 8 pints, 16 pints would equal to 2 gallons.
if the diameter is 5, then its radius is half that, or 2.5.
![\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies C=2\pi (2.5)\implies C=5\pi \implies C\approx 15.71](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bcircumference%20of%20a%20circle%7D%5C%5C%5C%5C%20C%3D2%5Cpi%20r~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D2.5%20%5Cend%7Bcases%7D%5Cimplies%20C%3D2%5Cpi%20%282.5%29%5Cimplies%20C%3D5%5Cpi%20%5Cimplies%20C%5Capprox%2015.71)
Answer:
Use Distance Formula
Step-by-step explanation:
You can find the distance between two points by using the distance formula which by definition is 
For example take question 3. Plug your point values in to find the distance
Point 1 is (-1, 8)
Point 2 is (-3, -2)
You equation would look like:

This simplifies to 
=
=
=
=
That is the distance between the points (-1, 8) and (-3, -2)