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cupoosta [38]
3 years ago
8

Name a pair of vertical angle

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

<em>If we draw a pair of intersecting lines, we have created two pairs of vertical angles. Here, angles AOC and BOD are a pair of vertical angles. Angles AOB and COD are also a pair of vertical angles. Notice that vertical angles are never adjacent angles.</em>

<em></em>

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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
3 years ago
if a customer receives 15% off a shirt that cost $20 and has to pay 6% sales tax. How much did the customer pay?​
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The answer is A. 18.02

if you do 20 - 15% = 17  17 + 6% = 18.02

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3 years ago
A 26' long painting is how many yards long?
mamaluj [8]

Answer:

The correct answer is <em><u>8 2/3yards</u></em>

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172.7=3.14d <br> Solve for d
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Answer:

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Step-by-step explanation:

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172.7 / 3.14 = 55 = d

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The answer is (1,-9) hope this helps
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