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3 years ago

in a bicycle store a $275 bicycle is marked ,''get a 15%discount "What is the discount?What is the sale price of the bicycle?

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

275 * 0.15 = 41.25 (discount)

275 - 41.25 = 233.75 (sale price of the bicycle)

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Given the linear equation y = 10x - 11.

grigory [225]

Y 10x - 13 should be right

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3 years ago

Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

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2 years ago

A local museum had a total of 38,627 vsitors last year. The museum was open everyday except for four holidays. On average how ma

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38,627/361 = 107.

107 people visit the museum every day according to the information given.

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3 years ago

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Find the unknown angle in tye guven figure with reason

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Step-by-step explanation:

the opposite angles are always same.

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A truck can be rented from Company A for $90 a day plus a $0.20 per mile .Company B charges $20 a day plus $0.70 per mile to ren

Alex787 [66]

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

<h3>Rental cost</h3>

Let

Number of miles = x

Company A:

90 + 0.20x

Company B:

20 + 0.70x

Equate both rental cost

90 + 0.20x = 20 + 0.70x

90 - 20 = 0.70x - 0.20x

70 = 0.50x

Divide both sides by 0.50

x = 70/0.50

x = 140 miles

Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

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1 year ago