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Kruka [31]
3 years ago
5

Charity is ordering a sundae at a restaurant, and the server tells her that she can have up to five toppings: chocolate chips, b

utterscotch sauce, strawberries, a cherry, and hot fudge. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Charity gets just chocolate chips and a cherry? Express your answer as a fraction or a decimal number rounded to four decimal places.
Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number of subsets in a set of n elements:

The number of subsets in a set of n elements, including the empty set, is given by:

2^{n}

Up to five toppings:

Up to five toppings means that the total number of possibilities is:

T = 2^{5} - 1 = 32 - 1 = 31

We subtract one to disconsider the option with no toppings.

What is the probability that Charity gets just chocolate chips and a cherry?

Chocolate chips and cherry is 1 subset, so D = 1

The probability is:

p = \frac{D}{T} = \frac{1}{31} = 0.0323

1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.

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Martha and her brother started their own car-washing business. They charge $8.50 per car. If they wash on average 22 cars per we
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$1,000

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A poll was taken to determine which candidate students were voting for in an upcoming class president election. Of the students
hram777 [196]

Answer:

Step-by-step explanation:

the way to find how many participanted in the class voted, you need to look at the percentages and the number of students that voted for Vicky.

50% of students voted for Vicky and the question later explained that the total of the 50% was 30 students. This mean we know half of the student that participated. To find the total amount of students to make 100%, you need to multiple 30 by 2. which is 60.

Now that we know there were 60 students in total, we can find how many participated by using Iverson's percentage.

this is the formula that can help with any percentage math problem:

The percentage of something ÷ 100% = the number you are looking for ÷ the total

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