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Black_prince [1.1K]

2 years ago

5

At Walmart, Marcy spends $52.75. There is a 6% sales tax on all purchases. Today, there is a markdown of 16% on all items. How m

uch will the total, including tax, of her purchase be?

1 answer:

murzikaleks [220]2 years ago

5 0

£310.17 would be your answer.

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The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes

andre [41]

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

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:

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

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that $m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833$

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

$P(X > 3) = e^{-0.0833*3} = 0.7788$

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

6 0

2 years ago

A spherical ball just fits inside a cylindrical can that is 10 centimeters tall, with a diameter of 10 centimeters. Which expres

fgiga [73]

Step-by-step explanation:

Volume:

$volume \: of \: a\: sphere = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi( {5)}^{3}$

3 0

2 years ago

MATH DETECTIVE:

sergeinik [125]

Answer:

- 5

Step-by-step explanation:

"I am a negative integer greater than -6."

This eliminates any number that is less than -6, as well as any positive number.

0 > x > -6

"I am less than -2."

This narrows down the possible numbers to:

-5, -4, -3.

"I am not equal to -2 + (-1)"

-2 + - 1

-2 - 1

- 3

The number is not '-3'.

"I am not equal to 2 - 6."

2 - 6

- 4

The number is not -4.

Your number should be -5.

Hope this helps.

6 0

2 years ago

Helllllppppppppppppp

antoniya [11.8K]

Answer:

0.62

Step-by-step explanation:

0.5+0.1+.02=0.62

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2 years ago

What is the sales tax on a jacket at 750 of the sales tax rate is 7%

SIZIF [17.4K]

Sales tax is $52.50

6 0

2 years ago