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ELEN [110]
3 years ago
15

1)The price of a pair of boot was reduced from $80 to $60. By what percentage

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

1) 25%

2) $17.54

Step-by-step explanation:

1) The boots were reduced from $80 to $60, therefore the total amount they were reduced by in terms of money is $20. To find out what percentage $20 is of $80, you divide.

20/80 = 0.25

0.25 = 25 % (to change a decimal to a percentage, you multiply by 100)

2) 20% = 0.20 (to change a percentage to a decimal, you divide by 100)

To find 20% of $87.70, multiply 0.20 by 87.70.

87.70 x 0.20 = 17.54

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12

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A rectangle has dimensions of 12 cm long and 10 cm wide what is the area of the rectangle
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3 years ago
The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t
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Answer:

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Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

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Poisson distribution with an average of three errors per page

This means that \mu = 3

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240

P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0
3 years ago
Pls help will mark brainliest to first answer
Serga [27]

Answer:

A. pi(6)^2* 8

Step-by-step explanation:

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