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damaskus [11]
2 years ago
14

The length of a phone conversation is normally distributed with a mean of 4 minutes and a standard deviation of .6 minutes. What

is the probability that a conversation lasts longer than 5 minutes? 0.04746 0.45254 0.54746 0.95254
Mathematics
1 answer:
Ivanshal [37]2 years ago
8 0

Answer:

0.04746

Step-by-step explanation:

To answer this one needs to find the area under the standard normal curve to the left of 5 minutes when the mean is 4 minutes and the std. dev. is 0.6 minutes.  Either use a table of z-scores or a calculator with probability distribution functions.

In this case I will use my old Texas Instruments TI-83 calculator.  I select the normalcdf( function and type in the following arguments:  :

normalcdf(-100, 5, 4, 0.6).  The result is 0.952.  This is the area under the curve to the left of x = 5.  But we are interested in finding the probability that a conversation lasts longer than 5 minutes.  To find this, subtract 0.952 from 1.000:   0.048.  This is the area under the curve to the RIGHT of x = 5.

This 0.048 is closest to the first answer choice:  0.04746.

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The cost of attending an amusement park is $10 for children and $20 for adults. On a particular day, the attendance at the amuse
Lapatulllka [165]

Using a system of equations, it is found that 10,000 children attended the park that day.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: Number of children in the park.
  • Variable a: Number of adults in the park.

The attendance at the amusement park is 30,000 attendees, hence:

c + a = 30,000, which is the first equation in matrix form.

Then:

a = 30,000 - c

The cost of attending an amusement park is $10 for children and $20 for adults. The total money earned by the park is $500,000, hence:

10c + 20a = 500,000, which is the second equation in matrix form.

Since a = 30,000 - c, we replace:

10c + 20a = 500,000

10c + 20(30000 - c) = 500,000

10c = 100,000

c = 10,000.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

8 0
2 years ago
Can someone please help answer this problem ASAP!!!:)
emmainna [20.7K]

Answer:

c

Step-by-step explanation:

i am a really good guesser and i think it is c

8 0
3 years ago
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Find the length of the leg x. Enter the exact value, not a decimal approximation.
kherson [118]
Answer:
x = 2√13.

Step-by-step explanation:

Using the Pythagoras theorem:
14^2 = x^2 + 12^2
x^2 = 14^2 - 12^2
x^2 = (14 + 12)(14 - 12) = 52
x = √52
x = √4*√13
x = 2√13.
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2 years ago
Lines intersected by a transversal can never be parallel lines. True or false
gayaneshka [121]

Answer : True

When lines intersect they can't be parallel.!

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4x2 + 4x =- 4<br> Find the solutions to the Quadratic equation.
VashaNatasha [74]

Answer:

x=-3

Step-by-step explanation:

(4)(2) + 4x = -4

                   multiply the 4 and 2

8 + 4x = -4

                   subtract 8 from both sides

4x = -12

                   divide both sides by 4

x = -3

7 0
3 years ago
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