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katovenus [111]
3 years ago
13

Mr Jones bought a snowboard. The 6% sales tax on the snowboard was $32.50. What was the total cost including the sales tax? (rou

nded to nearest cent)
Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Answer: $574

Step-by-step explanation:

First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,

6% of x = $32.50

0.06 × x = $32.50

0.06x = $32.50

x = $32.50 / 0.06

x = $541.67

Therefore, the total cost including the sales tax will be:

= $541.67 + $32.50

= $574.17

= $574

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For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5
Keith_Richards [23]

Answer:

a) n = 50, p = \frac{1}{6}

b) n = 16, p = \frac{1}{100}

c) n = 26, p = 0.25, \mu = 6.5

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so n = 50.

Each roll can have 6 outcomes. So the probability that 5 is rolled is p = \frac{1}{6}

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so n = 16.

1 of 100 are winners. So p = \frac{1}{100}.

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so n = 26.

He wins 25% of the time, so p = 0.25

We have that \mu = np. So \mu = 26*0.25 = 6.5

6 0
3 years ago
At a surf shop in Malibu, California, a used blue surfboard is on sale for $100. According to the salesperson, the new price rep
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Answer:

$125

Step-by-step explanation:

if there was a discount of 20%, the sales price is 100 - 20 = 80% of the original price

let a = original price

this equation can be used to represent the question

a x 0.8 = 100 ]]divide both sides by 0.8

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2 years ago
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First bring them to common denominator.
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