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Jlenok [28]
2 years ago
14

Two number cubes are rolled to determine how a token moves on a game board. The sides of each number cube are numbered 1, 2, 3,

4, 5 and 6.
There are two options describing how the token will be moved.

Option A: If the product is even, move forward 4 spaces. Otherwise, move backward 3.

Option B: If the product is even, move forward 5 spaces. Otherwise, move backward 4.
Use mathematical expectation to determine which option offers the greater likelihood of moving closer to the finish line on the game board.

Which statement best explains the better option?


The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 2.25. Option A offers a greater likelihood of advancing to the finish line.

The mathematical expectation of Option A is 2.75. The mathematical expectation of Option B is 2.25. Option B offers a greater likelihood of advancing to the finish line.

The mathematical expectation of Option A is 2.25. The mathematical expectation of Option B is 2.75. Option B offers a greater likelihood of advancing to the finish line.

The mathematical expectation of Option A is 2.25. The mathematical expectation of Option B is 2.75. Option A offers a greater likelihood of advancing to the finish line.

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
8 0

Answer:

Step-by-step explanation:

:)

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- Maya and Fiona have a total of $16.
Bingel [31]

Answer:

Maya has 3 dollars and Fiona has 13

Step-by-step explanation

4 0
2 years ago
A rectangle has an area of 36 inches squared. Write an equation to show how the length (l) varies inversely the width (w).
Anastaziya [24]
Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36

Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.

Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x
8 0
2 years ago
The sanitation department calculated that last year each city resident produced approximately 1.643 × 103 pounds of garbage. The
bija089 [108]

Given that, according to sanitation departments report; the samount of garbage produced by 1 resident = 1.643 \times 10^3pound.

Given that population of the city = 2.61 \times 10^5


Now we have to find how much garbage did the city sanitation department collect last year.

To find that we just need to multiply the garbage produced by 1 resident with the population of the city.


Total garbage collected = (2.61 \times 10^5 ) * (1.643 \times 10^3 ) pounds

Total garbage collected = (2.61*1.643) \times 10^{5+3} pounds

Total garbage collected = 4.28823 \times 10^8 pounds

Hence final answer is 4.28823 \times 10^8 pounds.

4 0
2 years ago
Read 2 more answers
APEX HELP ASAP!!!!
oee [108]
<span>1. The two boats picked for the trip are the steamboat and the tall ship. Let us assume that we will take the steamboat going to the island, and then we will take the tall ship for the return trip. We will then relate the distances travelled by both ships to each other.

2. We know that the steamboat takes five hours to complete the trip. The tall ship takes more time, at ten hours to complete the trip. We do not have the exact speeds of the steamboat or of the tall ship, but we do know that the tall ship is 10 knots slower than the steamboat. We likewise do not know the exact distance travelled by either ship, but we do know that both travel the same distance. We want to find out how fast each boat travels. We expect the answers to be in knots, with a difference of 10.

3. We know that distance is equivalent to the product of speed of a boat multiplied by the time of travel. For the trip going to the island, we will use the steamboat. Let its speed be x knots (equivalent to x nautical miles per hour), and let the distance going to the island be d nautical miles. Given that the time takes is 5 hours, this means that d = 5x.

4. If we let x be the speed of the boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.

5. Similar to part 3: we will multiply speed by time to determine the distance from the island. From part 4, we have determined that the speed of the tall ship to be used in returning is (x - 10) knots. Meanwhile, the given in the problem says that the tall ship will take 10 hours to make the trip. Therefore the distance will be equal to d = 10(x - 10) = 10x - 100 nautical miles.

6. We can assume that the distance travelled going to the island is the same distance travelled coming back. Therefore, we can equate the formula for distance from part 3 for the steamboat, to the distance from part 5 for the tall ship.
5x = 10x - 100

7. Solving for x: 5x = 10x - 100
-5x = -100
x = 20
Since x is the speed of the steamboat, x = 20 means that the steamboat's speed is 20 knots.

8. We determined in part 4 that the speed of the second boat (in our case, the tall ship) is (x - 10) knots. Since we have calculated in part 7 that the steamboat travels at x = 20 knots, then the speed of the tall ship is (x - 10) = 20 - 10 = 10 knots.</span>
7 0
2 years ago
Find the length of the longest line segment that can be drawn on a rectangular board 3.07m by 2.24m
nikklg [1K]
For rectangle
l=3.07m
b=2.24m
so longest side that can be drawn is diagonal of rectangular board
=squareroot l^2+b^2
=squareroot3.07^2+2.24^2
=squareroot9.4249+5.0176
=squareroot14.4425
=3.80
So longest line that can be drawn in rectangular board is 3.80m
3 0
2 years ago
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