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
Digiron [165]
2 years ago
11

Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d

ensity curve is as pictured below (a uniform distribution):
(a) What is the probability that x is less than 11 min? more than 14 min? P (x is less than 11 minutes) = P (x is more than 14 minutes) =

(b) What is the probability that x is between 8 and 13 min? P (x is between 8 and 13 minutes) =

(c) Find the value c for which P(x < c) = .8. c = mins You may need to use the appropriate table in Appendix A to answer this question.

Mathematics
2 answers:
Finger [1]2 years ago
8 0

Your question is not complete, as you have not provided the uniform distribution, please see attached to view the distribution, as (0, 0.05) and (20, 0.05).

Answer:

A. I) 0.45

II) 0.3

B) 0.25

C) 4

Step-by-step explanation:

The probability will be calculated using (base)(height). Since the height is static at 0.05, which is the density and the base is the X values. Therefore the probability will be a function of minutes which is the X values.

                    A.

I) The probability that X is less than 11 minutes (X<11)

(0.05)(20-11)

0.05 × 9= 0.45

II) The probability that X is greater than 14 minutes is (X>14)

(0.05)(20-14)

0.05 × 6 = 0.3

                    B.

The probability that X is between 8 and 13 minutes (8<X<13)

(0.05)(13-8)

0.05 × 5 = 0.25

                    C.

(X<c)= 0.8 find the value of c

Since the probability is (base)(height)

Therefore;

(0.05)(20-c) = 0.8

Multiply bracket

1-0.05c = 0.8

1 - 0.8 = 0.05c

0.2 = 0.05c

C = 0.2 ÷ 0.05

C = 4

babymother [125]2 years ago
3 0

Answer:

a) P (x is less than 11 minutes) =  0.55

P (x is more than 14 minutes) = 0.3

b) P (x is between 8 and 13 minutes) = 0.25

c)  P(x < c) =0.8 is 0.05 x c = 0.8

Step-by-step explanation:

a) P (x is less than 11 minutes) = 11 x 0.05

                                                 = 0.55

P (x is more than 14 minutes) = 0.05 x (20 - 14)

                                                = 0.05 x 6

                                                = 0.3

b) P (x is between 8 and 13 minutes) = 0.05 x (13 -8)

                                                            = 0.05 x 5

                                                             = 0.25

c)  P(x < c) =0.8

The area between 0 and c is 0.8

Hence,

0.05 x c = 0.8

You might be interested in
13. Solve the following equation: √2y + 3 = 11
lozanna [386]

the answer is C i belive sorry if i got it wrong i have dislexia idk if i spelt it right

8 0
3 years ago
Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat
yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

P(t) = 0.8t^{2} + 6t + 19000

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

P(t) = 0.8t^{2} + 6t + 19000

0.8t^{2} + 6t + 19000 = 34200

0.8t^{2} + 6t - 15200 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

0.8t^{2} + 6t - 15200 = 0

So a = 0.8, b = 6, c = -15200

Then

\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356

t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14

t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0
2 years ago
If 3 tons of flower bed mulch cost $480, what is the price per pound?
Goshia [24]
1 ton = 2,000 pounds 
3 tons = 6,000 pounds
$480/6,000 = 0.08 
per pound is $0.08
6 0
3 years ago
In each bouquet of flowers, there are 5 roses and 8 white carnations. Complete the table to find how many roses and carnations t
Verizon [17]
40 70 is the right answer ❤️❤️❤️❤️❤️❤️❤️
5 0
3 years ago
What is the answer to the problem shown?
goldenfox [79]
V(S)=S^3/6
S=6
V(6)=6^3/6=6^2=36
3 0
3 years ago
Other questions:
  • Decompose these fractions 3/5 7/10
    5·2 answers
  • What would be the speed of Ashley's car if she traveled 140 miles in 2 hours assume that a steady speed was achieved
    5·1 answer
  • Write the number in scientific notation.
    12·2 answers
  • A dance instructor wants 8 costumes to be yellow and 24 costumes to be blue. What is the ratio of blue costumes to yellow costum
    7·2 answers
  • I am going to bye a three bags of plums and the cost of the plums are $4000 but I only have $300 how many more money do I need
    13·1 answer
  • Analyze the effects on the graph of f(x) = 10x that result from the parameter changes in the function, h(x) = 5(10)x–2 + 6. Expl
    7·1 answer
  • 2. Dos calles tienen longitudes de 2 y de metros, ¿cuál es la longitud total de ambas?
    8·1 answer
  • HELP HELP HELP HELP help help
    9·1 answer
  • Which inequality represents the graph?
    10·1 answer
  • In the standard (x, y) coordinate plane, what is the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!