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Zepler [3.9K]
3 years ago
10

Nathan has a collection of 220 baseball cards. He lets his brother 1/4 of his collection and sells 20% of his collection to the

baseball card shop. He takes 15 cards to school to give to his friends. How many baseball cards remain in Nathan’s collection?
Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

<u>Answer:</u>

The baseball cards remain in Nathan’s collection is 106 cards

<u>Explanation:</u>

Total number of cards Nathan has= 220

Number of cards he let his brother have = 1/4 of his collection

=\frac{1}{4} \times 220 = 55 cards

Number of cards he sells = 20% of his collection

=\frac{20}{100} \times 220

=44 cards

No of cards he gives to his friends=15 cards

Remaining cards = total number of cards – (no of cards he gave to his brother+ cards he sold+ cards he gave to this friends)

= 220 – ( 55+44+15)

=220-114

=106 cards

baseball cards remain in Nathan’s collection is 106 cards

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Step-by-step explanation:

Check for conditions

For this case in order to use the normal distribution for this case or the 68-95-99.7% rule we need to satisfy 3 conditions:

a) Independence : we assume that the random sample of 400 students each student is independent from the other.

b) 10% condition: We assume that the sample size on this case 400 is less than 10% of the real population size.

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Solution to the problem

For this case we know that the distribution for the population proportion is given by:

p \sim N(p, \sqrt{\frac{p(1-p)}{n}})

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\mu_p -\sigma_p = 0.74-0.0219=0.718

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\mu_p -3*\sigma_p = 0.74-3*0.0219=0.674

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