Answer:
8
Step-by-step explanation:
<span>Density is a mathematical expression that calculates the mass of the object by its volume:
Data:
m (mass) = 5 grams
v (volume) </span>≈ 0.689 cm³
d (density) = ?
Formula:
![d = \frac{m}{v}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Cfrac%7Bm%7D%7Bv%7D%20)
Solving:
![d = \frac{m}{v}](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7Bm%7D%7Bv%7D%20)
![d = \frac{5}{0.689}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Cfrac%7B5%7D%7B0.689%7D%20)
• The graph does not have a minimum point
,
• No
,
• The graph has a maximum point.
,
• The maximum point is (0,3)
,
• The domain is {-3,3}
,
• The range is {-4,3}
,
• The relation is not a function since it fails the vertical line test.
Note: In the vertical line test, if a horizontal line drawn touches the graph at two points, it is not a function.
Answer:
(D)E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.
Step-by-step explanation:
The table of the probability of rolling the sums is presented below.
![\left\begin{array}{ccccccccccccc}$Roll&2&3&4&5&6&7&8&9&10&11&12\\\\$Prob&\frac{1}{36}&\frac{2}{36}&\frac{3}{36}&\frac{4}{36}&\frac{5}{36}&\frac{6}{36}&\frac{5}{36}&\frac{4}{36}&\frac{3}{36}&\frac{2}{36}&\frac{1}{36} \end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bccccccccccccc%7D%24Roll%262%263%264%265%266%267%268%269%2610%2611%2612%5C%5C%5C%5C%24Prob%26%5Cfrac%7B1%7D%7B36%7D%26%5Cfrac%7B2%7D%7B36%7D%26%5Cfrac%7B3%7D%7B36%7D%26%5Cfrac%7B4%7D%7B36%7D%26%5Cfrac%7B5%7D%7B36%7D%26%5Cfrac%7B6%7D%7B36%7D%26%5Cfrac%7B5%7D%7B36%7D%26%5Cfrac%7B4%7D%7B36%7D%26%5Cfrac%7B3%7D%7B36%7D%26%5Cfrac%7B2%7D%7B36%7D%26%5Cfrac%7B1%7D%7B36%7D%20%5Cend%7Barray%7D%5Cright)
P(an even sum)
![=\frac{1}{36}+\frac{3}{36}+\frac{5}{36}+\frac{5}{36}+\frac{3}{36}+\frac{1}{36} \\\\=\frac{18}{36}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B36%7D%2B%5Cfrac%7B3%7D%7B36%7D%2B%5Cfrac%7B5%7D%7B36%7D%2B%5Cfrac%7B5%7D%7B36%7D%2B%5Cfrac%7B3%7D%7B36%7D%2B%5Cfrac%7B1%7D%7B36%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B18%7D%7B36%7D)
Therefore, P(an odd sum) ![=\frac{18}{36}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B18%7D%7B36%7D)
Therefore, E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.
When you raise a negative integer (in this case -1) to an even integer (30), the end result will be positive (1), but when you raise it to an odd integer (31), the end result will be negative (-1). The sign of the product fluctuates between positive and negative depending on the type of integer it’s raised to.