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Dimas [21]
3 years ago
9

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

lows the continuous uniform distribution with an early arrival time of 9:07 am and a late arrival time of 9:57 am.a. After converting the time data to a minute scale, calculate the mean and the standard deviation for the distribution. (Round your answers to 2 decimal places.)Mean:____________________________ minutes Standard deviation: _________________ minutes b. What is the probability that a flight arrives late (later than 9:30 am)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)Probability:________
Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

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AysviL [449]

Answer:

363.22

Step-by-step explanation:

<u>Method 1: </u>

You could find the whole figure surface area than divided by 1/2

<u>Method 2:</u> (the one I'm going to personally be doing)

Break the figure into two rectangular figures

Formula for surface area of rectangular prism:

A = 2(width x length + height x length + height x width)

Figure 1:

A = 2(width x length + height x length + height x width)

height = 3.8 yd

length = 10.1 yd

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A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))

A = 2(98.15)

A = 196.3

Figure 2:

A = 2(width x length + height x length + height x width)

height = 8.4 yd

length = 10.1 yd

width = 2 yd

A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))

A = 2(121.84)

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There is overlapping surface area that shouldnt be include so we need to subtract it...

<u>For one face of figure 1</u>

3.8 x 10.1 = 38.38

Total:

Figure 1 + Figure 2 - 2(one face)

196.3 - 38.38 = 157.92

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7 0
2 years ago
Wing figures, solve for x. Complete parts (a) 80° 53​
Korolek [52]

Answer:

x = 25°

Step-by-step explanation:

Applying,

Sum of the angle in the triangle = 180°

From the diagram,

First angle of the triangle = 55° (vertically opposite angles are equal)

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Third angle of the triangle = x

Therefore,

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2 years ago
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Mice21 [21]

Answer:

The side closest to P is the side that is on the same side of the angle bisector as P.

Step-by-step explanation:

The angle bisector is the line containing all the points equidistant from the sides of the angle. Points on one side of the angle bisector are closer to the angle side that is on that side of the angle bisector.

___

The attached diagram shows the angle bisector as a dashed line. A couple of different locations for P are shown (P1 and P2). Apparently, we're concerned here with the distance from P along the perpendicular to each side of the angle. For P2 (on the left side of the angle bisector), it may be clear that the left perpendicular is shorter than the right one. Likewise, for P1, the right perpendicular will be shorter.

6 0
3 years ago
Which regular polygon will have the largest angle measure?
Bad White [126]
I did this in my math the other day and the answer is octagon 
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7 0
2 years ago
Read 2 more answers
4x + y =3<br> x + y - z = 9<br> 2x + 2y + z = 0
uranmaximum [27]

Answer:

[0, 3, -6]

Step-by-step explanation:

{4x + y = 3

{x + y - z = 9 ←

{2x + 2y + z = 0 ←

{4x + y = 3

{3x + 3y = 9 >> Combined equation

−¾[4x + y = 3]

{−3x - ¾y = −2¼ >> New Equation

{3x + 3y = 9

_________

2¼y = 6¾

___ ___

2¼ 2¼

y = 3 [Plug this back into all three equations to get the z-value of −6, and the x-value of 0]; 0 = x; -6 = z

I am joyous to assist you anytime.

4 0
3 years ago
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