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2 years ago

The diagram shows three famous RSM cafes, R, S, and M. It takes one step to move from one of these cafes directly to another.

Mathematics

1 answer:

mamaluj [8]2 years ago

3 0

Answer: 341

Step-by-step explanation:

IDK, just a guess, the total ways is 1024, so you divide it by three and add one and remove the remainder..

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Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...

disa [49]

Answer:

-515

Step-by-step explanation:

In this example the first value is −15 and every value afterwards is 20 less.

After substituting these values to above formula, we obtain:

All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515

5 0

2 years ago

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Two number cubes are rolled to determine how a token moves on a game board. The sides of

ahrayia [7]

Answer:

D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.

Step-by-step explanation:

The result of a product is odd only when the two numbers are odds.

There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.

P(even) = 27/36 = 0.75

Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1

Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5

8 0

2 years ago

In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio

Nitella [24]

In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

The equation for the hole

$x^{2} + y^{2} = 5$ (1)

The equation for the path of the bean bag

$y = 0.5x^{2} + 1.5x - 4$ (2)

By entering equation (2) into (1) we have:

$x^{2} + (0.5x^{2} + 1.5x - 4)^{2} = 5$

$x^{2} + 0.25x^{4} + 1.5x^{3} - 4x^{2} + 2.25x^{2} - 12x + 16 = 5$

$0.25x^{4} + 1.5x^{3} - 0.75x^{2} - 12x + 11 = 0$

By solving for x, we have:

x₁ = 1

x₂ = 2

Now, for y we have (eq 2):

x₁ = 1

$y_{1} = 0.5(1)^{2} + 1.5(1) - 4 = -2$

x₂ = 2

$y_{2} = 0.5(2)^{2} + 1.5(2) - 4 = 1$

Therefore, the points are (1, -2) or (2, 1).

To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults

I hope it helps you!

8 0

2 years ago

In a forest, 20% of mushrooms are red, 50% brown, and 30% white. A red mushroom is poisonous with a probability of 20%. A mushro

kirill115 [55]

Draw a simple branch diagram to work the probabilities out. You find that the chance of a poisonous mushroom is 0.08 and the chance of a red poisonous is 0.04. So the probability that a poisonous mushroom is red is 1/2 or 0.5.

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2 years ago

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You walk 2 miles from your house to the park and 4.5 miles from the park to the lake. Then you return home along a straight path

pshichka [43]

If they took the same route home itll be 13 miles

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2 years ago

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