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dusya [7]
3 years ago
11

Suppose Abby tracks her travel time to work for 60 days and determines that her mean travel time, in minutes, is 35.6. Assume th

e travel times are normally distributed with a standard deviation of 10.3 min. Determine the travel time such that 17.36% of the 60 days have a travel time that is at least . You may find this standard normal distribution table or this list of software manuals useful. Give your answer rounded to two decimal places.
Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer:

the answer is 45.28 minutes

Step-by-step explanation:

Let X be the travel time in minutes

X is normally distributed with μ= 36.6 and σ=10.3 i.e. X~N (35.6, 10.3)

The travel time x such that 17.36% of the 60 days have a travel time that is at least x is given by,

P(X>x)= 0.1736

P(X<x)= 0.8264

P(Z<x−35.6/10.3)= 0.8264

P(Z<0.940)=0.8264

x−35.6/10.3= 0.940

x=0.940* 10.3+35.6=45.28

Therefore, x is equal to 45.28 minutes

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3 years ago
What is the value of x? <br><br> Thank you!
Inessa05 [86]

Answer:

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Step-by-step explanation:

8/12 = 2/3

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3 years ago
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katen-ka-za [31]

Answer:

Option (3) and Option (5)

Step-by-step explanation:

By the property of a triangle,

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m∠Q + m∠R + m∠S = 180°

By substituting the measures of angles in the equation,

(8x - 17)° + (19x + 4)° + (5x + 1)° = 180°

32x - 12 = 180

32x = 192

x = 6

m∠Q = (8x - 17)° = 48 - 17

                          = 31°

m∠R = (19x + 4)° = 114 + 4

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m∠S = (5x + 1) = 30 + 1

                       = 31°

Since, one interior angle measures 118° which is grater than 90°.

Therefore, triangle QRS is an obtuse triangle.

Since, m∠Q = m∠R = 31°

It's an isosceles triangle.

Option (3) and Option (5) are the correct options.

4 0
3 years ago
The diameter of a circle is 26 miles. what is the circle's circumference. Use 3.14 for pi
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81.68

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3 years ago
* ANSWER PLS TY!! * Find the surface area of this cone.
vagabundo [1.1K]

Answer:

<h2>200 \: \pi</h2>

Step-by-step explanation:

Given,

R = 8 m

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Slant height :

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Now, Finding the surface area of the cone:

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Plugging the values:

= \pi \:  \times 8(8 + 17)

= 8\pi \:  \times 25

= 200 \: \pi

Hope this helps...

Good luck on your assignment...

6 0
3 years ago
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