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Naya [18.7K]
3 years ago
5

Sarah is 8 years older than Tanya. Sarah's age is also 5/4 of Tanya's age. How old is each person?

Mathematics
1 answer:
Aliun [14]3 years ago
3 0
S = t + 8
s = 5/4t

t + 8 = 5/4t
8 = 5/4t - t
8 = 5/4t - 4/4t
8 = 1/4t
8 * 4 = t
32 = t <=== tanya's age

s = t + 8
s = 32 + 8
s = 40 <== sarah's age
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The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m
castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 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:

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Which has the following solution:

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The probability of finding a value higher than x is:

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This means that m = 10, \mu = \frac{1}{10} = 0.1

A. What is the probability that the arrival time between customers will be 7 minutes or less?

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

P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)

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P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034

P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592

P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

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3 years ago
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sorry if I'm wrong. I got confused because you put 56+3 twice.×= 63
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I didnt know if that a subtracting or negative so here both

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6 0
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I think the answer would be

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I’ll give Brainly for helping
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Answer: 16

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