1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
2 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]2 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

You might be interested in
12 POINTS!!!
dimaraw [331]

Answer:

Step-by-step explanation:

7 0
2 years ago
M<br> (2y+19)<br> (5x+20)<br> n<br> (4x-11)
AleksandrR [38]

Answer:

(5x+20)+(4x-11)=180(linear pair)

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

now,

(2y+19)+(5x+20)=180(co-interior angle)

2y+19+5×19+20=180

2y+134=180

2y=180

y=180/2

y=90

7 0
2 years ago
A moderately active 40-pound dog needs an average of 1,110 calories per day. Taryn's dog played extra hard at the dog park this
Ostrovityanka [42]
Jey igd 102837 okay love you
4 0
3 years ago
What is 8 11/12 + 9 5/18
aleksklad [387]

Step-by-step explanation:

The picture is the full explanation for this question answer.

7 0
2 years ago
Linear system please help 60 points * please please please help will give brainlist
bearhunter [10]

Answer:

1. a. b = - 8

b. x = 8

c. x = 11

d. x = 5

2. 12 soccer balls and 8 basketballs can be purchased.

Step by step explanation

a. - 14 + 6b + 7 - 2b = 1 + 5b

Calculate the sum

- 7 + 6b - 2b = 1 + 5b

Collect like terms

7 + 4b = 1 + 5b

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change its sign

4b - 5b = 1 + 7

Collect like terms

- b = 8

Change the signs on both sides of the equation

b =  - 8

-----------------------------------------------------------------

b. \frac{5x   + 10}{ - 6}  =  - 5

Apply cross product property

5x + 10 =  - 5 \times  ( - 6)

Multiply the numbers

5x + 10 = 30

Move constant to R.H.S and change its sign

5x = 30 - 10

Calculate the difference

5x = 20

Divide both sides of the equation by 5

\frac{5x}{5}   = \frac{20}{5}

Calculate

x = 4

----------------------------------------------------------------

c. - 15 =  \frac{ - 8x - 17}{7}

Apply cross product property

- 15 \times 7 =  - 8x - 17

Multiply the numbers

- 105 =  - 8x - 17

Swap the sides of the equation

- 8x - 17 =  - 105

Move constant to R.H.S and change its sign

- 8x =  - 105 + 17

Calculate

- 8x =  - 88

Change the signs on both sides of the equation

8x = 88

Divide both sides of the equation by 8

\frac{8x}{8}  =  \frac{88}{8}

Calculate

x = 11

------------------------------------------------------------------

D. 5 = 6x + 5(x - 10)

Distribute 5 through the parentheses

5 = 6x + 5x - 50

Collect like terms

5 = 11x - 50

Swap both sides of the equation

11x - 50 = 5

Move constant to R.H.S and change its sign

11x = 5 + 50

Calculate the sum

11x = 55

Divide both sides of the equation by 11

\frac{11x}{11}  =  \frac{55}{11}

Calculate

x = 5

------------------------------------------------------------------

2.

Solution,

No.of students in soccer = x

No.of students in basketball = y

Total no.of students = 20

i.e x + y = 20 → equation ( i )

Cost of soccer ball = $ 7

Cost of basketball = $ 10

Total budget = $ 164

i.e 7x + 10 y = 165 → equation ( ii )

In equation ( i ),

x + y = 20

Move 'y' to R.H.S and change its sign

x = 20 - y

Put the value of x in equation ( i )

7(20 - y) + 10y = 164

140 - 7y + 10y = 164

3y = 164 - 140

3y = 24

y =  \frac{24}{3}

y = 8

Now, put the value of y in equation ( i ) ,

x + y = 20

x + 8 = 20

x = 20 - 8

x = 12

Hence, 12 soccer balls and 8 basketballs can be purchased.

Hope this helps...

Best regards!!

6 0
3 years ago
Read 2 more answers
Other questions:
  • X-7=11 , 2x+y=19 when using elimination
    15·1 answer
  • Alison is saving for retirement. Her company matches what she puts into her 401K in a ratio of 2:3. If she puts in $400 each mon
    13·2 answers
  • What is 3.08 x 12.4 ?
    8·1 answer
  • What does a obtuse angle look like
    13·2 answers
  • Please help someone??
    7·1 answer
  • Wich best describes how to solve the equation 26×=74
    6·2 answers
  • What is the value of x? Identify the missing justifications
    9·1 answer
  • A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the
    10·1 answer
  • A car travels 0.75 miles every minute, how could you explain how to use proportional reasoning to find how far the car travels i
    8·2 answers
  • Halim makes a profit of 120% on his cost price by selling a pair of shoes of $45. i) Find the cost pricer of the pair of shoes i
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!