All categories

2 years ago

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

Mathematics

1 answer:

ahrayia [7]2 years ago

8 0

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

You might be interested in

4 markers cost $7.04. Which equation would help determine the cost of 7 markers??

aleksley [76]

Answer: 12.32

Step-by-step explanation:

7.04 divided by 4 = 1.76. 1.76 x 7 = 12.32.

7 0

1 year ago

Read 2 more answers

(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above

ss7ja [257]

As IQ scores for extensive populaces are focused at 100, the mean = 100.
There ought to be around half scores above or underneath the mean score since mean and middle is about a similar when the populace is substantial.
P(x > 100) = P( z> (100 - 100)/sd ) = P(z > 0)= 0.5
The number of the student who has scored over 100 = 0.5 x 78 = 39 Therefore the answer is 39 students.

4 0

1 year ago

Jamie has a collection of 78 nickels, dimes, and quarters worth $12.40. If the number of quarters is

vekshin1

Sorry idkis it 34.55? I’m slow-

3 0

1 year ago

Frank started out in his car travelling 45 mph. When Frank was 1 3 miles away, Daniel started out from the same point at 50 mph

oee [108]

Answer:

It will take 2.6 hours by Daniel to catch up with Frank.

Step-by-step explanation:

Let Daniel will catch up with Frank after t hours.

Now, Frank will go 13 miles in $\frac{13}{45} = 0.288$ hours.

So, the distance traveled by Frank in (t + 0.228) hours with 45 mph speed will be equal to the distance traveled by Daniel in t hours with 50 mph speed.

Hence, 45(t + 0.288) = 50t

⇒ 5t = 13

⇒ t = 2.6 hours.

Therefore, it will take 2.6 hours by Daniel to catch up with Frank. (Answer)

8 0

2 years ago

Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee. Lian correctly wrote

lapo4ka [179]

The resulting equation 75 = 75 is an identity; this tells that the two equations of the system are equivalent, this is they both represent the same function. So, Lian can conclude that (option c) both gyms charge the same monthly rate and the same membership fee<span>.</span>

3 0

2 years ago

Read 2 more answers