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4 years ago

An ordinary (fair) die is a cube with the numbers

1 answer:

5 0

A die is a six-face solid and that rolling it twice will give us a sample space of 36 (calculated by multiplying 6 to itself).

(1) The outcomes that the sum of the two numbers will be greater than 9 are listed below:
5 and 5, 5 and 6, 6 and 5, and 6 and 6
There are four and the probability is equal to 4/36 or 1/9.

(2) The outcomes that the sum is an odd number is listed below:
1 and 2, 1 and 4, 1 and 6, 2 and 1, 2 and 3, 2 and 5, 3 and 2, 3 and 4, 3 and 6, 4 and 1, 4 and 3, 4 and 6, 5 and 2, 5 and 4, 5 and 6, 6 and 1, 6 and 3, 6 and 5
There are 18. Thus, the probability is 18/36 or 1/2.

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Traci is collecting donations for a dance marathon. One group of sponsors will donate $36 for each hour she dances. Another grou

AveGali [126]

Answer:

36h + 75 < 1200

solve:

36h + 75 = 1200

36h = 1125

h = 1125 divided by 36 = 31.25.

Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200

8 0

3 years ago

If the difference (3x ^ 2 - 2x + 5) - (x ^ 2 + 3x - 2) is multiplied by 3x ^ 2 , what is the result, written in standard form?

galina1969 [7]

Answer: 6x^4 - 15x^3 + 27x^2

Combine like terms. Then multiply the result by 3x^2

Work:

4 0

3 years ago

HELPPPPPPPPPPP PLEASEEEEEE AND SHOW YOUR WORK PLEASEEE

olga55 [171]

Answer for 13: 89 percent because 89/100 is .89 or 89 percent

Answer for 14: part a: 1/10 because Each person gets ten percent so 10 times 10 is 100

Part b: it can be expressed as 0.10 in decimal form

6 0

3 years ago

Read 2 more answers

130 pencils $14.30. What is the cost of one pencil

Westkost [7]

One pencil cost 11 cents.

Use long division and divide $14.30 by 130.

8 0

4 years ago

Leona has a bag containing letter tiles. Which describes dependent events?

serious [3.7K]

Answer:

a) removing a vowel, not replacing it, and then removing another vowel

Step-by-step explanation:

This question is from the topic Probability. In Probability, a dependent event is one in which the outcome of one event alters or changes the outcome of another event. A classic example of this is seen when sampling without replacement is done. When sampling without replacement is done, the outcome of another event within the same set changes. When sampling with replacement is done, the outcome of the events are independent because every item in the population still has an equal chance of being chosen. However, in the case of sampling without replacement, once an item has been selected from a population, the outcome of every other event after it is altered based on the item that was initially chosen.

Let's assume that the bag has 26 tiles (one for each alphabet from a - z)

Population = 26, consonant = 21, vowel = 5

If a vowel or consonant is removed & is replaced, we have:

Pr (choosing "a") = number of item ÷ population

Pr = 1 ÷ 26 = 1/26

Pr (choosing "y") = 1 ÷ 26 = 1/26

Doing this for over & over again, produces the same probability

However, if an item was selected without replacement, we have:

Pr (choosing "a") = 1 ÷ 26 = 1/26

Without replacement implies that if I choose tile letter "a", tile letter "a" will not be included in subsequent events, hence:

Population = 25

Pr (choosing "u") = 1 ÷ 25 = 1/25

Without replacement, population = 24

Pr (choosing "y") = 1 ÷ 24 = 1/24

So, we see the dependent nature of the events in how that the outcome of the next event is being altered. As such, option a describes a dependent event & is the correct answer

8 0

3 years ago