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atroni [7]
3 years ago
15

Nikki’s Pizza Joint charges $14 for a super-duper cheese pizza and $2 for each extra topping. How many toppings can you order fo

r $25?
Mathematics
2 answers:
stiv31 [10]3 years ago
6 0

Answer:

5 toppings

Step-by-step explanation:

The formula is y=2x+14 with x being the number of toppings and y the total price.

Plug in 25 as y to see how much x would be at that price.

25=2x+14

11=2x

x=5.5

You can't get half of a topping so you would have to round down to 5 toppings.

dexar [7]3 years ago
4 0

Answer:

you can order 4 toppings but if you wanted a specific answer, it would be 5.5

Step-by-step explanation:

you have 25, subtract 14, you have 11, divide 11 by 2, you get 5.5 but you cant get half so you have 4 if you round it

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Step-by-step explanation:

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3 years ago
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What is the probability of these events when we randomly select a permutation of {1,2, ..., n} where n≥4? a) 1 precedes 2 c) 1 i
Paraphin [41]

Answer:

a) 1/2

b) 1/n

c) 1/4

Step-by-step explanation:

a) For each permutation, either 1 precedes 2 or 2 precedes 1. For each permutation in which 1 precedes 2, we can swap 1 and 2 to obtain a permutation in which 2 preceds 1. Thus, half of the total permutations will involve in 1 preceding 2, hence, the probability for a permutation having 1 before 2 is 1/2.

c) If 2 is at the start of the permutation, then it is impossible for 1 to be before 2. If that is not the case, then 1 has a probability of 1/n-1 to be exactly in the position before 2. We can divide in 2 cases using the theorem of total probability,

P( 1 immediately preceds 2) = P (1 immediately precedes 2 | 2 is at position 1) * P(2 is at position 1) + P(1 immediately precedes 2 | 2 is not at position 1) * P(2 is not at position 1) = 0 * 1/n + (1/n-1)*(n-1/n) = 1/n.

d) We can divide the total of permutations in 4 different groups with equal cardinality:

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All this groups have equal cardinality because we can obtain any element from one group from another by making a permutations between 1 and n and/or 2 and n-1.

This means that the total amount of favourable cases (elements of the first group) are a quarter of the total, hence, the probability of the event is 1/4.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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