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
lana [24]
3 years ago
13

A train station employee collects data on 160 incoming trains to the station. He notices that 18 of the 90 incoming trains on li

ne A arrive late, and 14 of the 70 incoming trains on line B arrive late.
What is the probability that a train on line A arrives on time? What is the probability that any train arrives on time?
Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

Probability of a train on line A arriving on time: 80%

Probability of any train arriving on time: 96%

Step-by-step explanation:

If 18 of the 90 incoming trains on line A arrive late, we have that 90 - 18 = 72 trains of the 90 arrive on time, so the probability of a train on line A arriving on time is:

P(A) = 72/90 = 0.8 = 80%

on line B, we have that 70 - 14 = 56 trains of the 70 arrived in time, so the probability of a train from line B arriving on time is:

P(B) = 56/70 = 0.8 = 80%

To find the probability of any train arriving on time, we can use this formula:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.8 - 0.8*0.8

P(A or B) = 1.6 - 0.64 = 0.96 = 96%

You might be interested in
To make a specific shade of green paint, Timia mixes 2 cups of blue paint with 10 cups of yellow point. How many cups of yellow
7nadin3 [17]

Answer:

1 cup of blue paint required 5 cups of yellow paints

<em />

Step-by-step explanation:

Given

2 cups of blue = 10 cups of yellow

Required

Determine the number of cups of yellow for 1 cup of blue paint

The given parameter shows a linear relationship between paints of blue and paints of yellow

We have:

2 cups of blue = 10 cups of yellow

Multiply both sides by 0.5

0.5* 2 cups of blue = 0.5* 10 cups of yellow

1 cup of blue = 5 cups of yellow

Hence;

<em>1 cup of blue paint required 5 cups of yellow paints</em>

7 0
3 years ago
Which sentence represents the inequality -2b + 7 &gt; 27.5?
Nady [450]

Answer:

Negative two times a number, plus seven, is greater than twenty-seven and five tenths.

3 0
3 years ago
Read 2 more answers
Brenda’s scores on the first three of four 100-point science tests were 95, 92, and 89. What score does she need on her fourth s
attashe74 [19]
Average of 93

4 scores
(95+92+89+x)/4<u>></u>93
times 4 both sides
276+x<u>></u>372
minus 276 both sides
x<u>></u>96


A
6 0
3 years ago
Read 2 more answers
Answer these questions pls
kari74 [83]
Lmk if you need more help :)

5 0
3 years ago
The volume of a square prism is 144x^3 +216x^2 +81x
Svetach [21]

Answer:

Equation for the perimeter of prism's square face: 16x + 12

Step-by-step explanation:

Volume of Square prism = Length * Width * Height

                                         = 144 x^3 + 216 x^2 +81 x

taking 9x common = 9x( 16 x^2 + 24 x + 9)

                               = 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )

                                = 9x ( 4x+3)^2

so the length is 9x, width is 4x+3 and height is 4x+3

Now, Perimeter of prism's square face = 2* Width + 2 * Height

                                                                = 2* (4x+3) + 2* (4x+3)

                                                                = 8x +6 + 8x + 6

                                                                = 16x +12

                   

6 0
3 years ago
Other questions:
  • Which numbers are a distance of 6 units from 2 on the number line? PLZ HELP 
    10·2 answers
  • Can someone help me!!!
    15·1 answer
  • Two-thirds of the algebra students took the h s a the first time. if 60 students took the algebra h s a how many algebra student
    14·2 answers
  • What is this angle?
    12·2 answers
  • 5. Which of the following has the greatest value?<br> A. |18|<br> B. |25|<br> c.|-9|<br> D. |-14|
    13·2 answers
  • Can someone help me with this? During a certain period of time about 2000 penguins had an annual growth rate of 19% why will the
    6·1 answer
  • Use simple interest to find the ending balance. $215 at 8% for 8 years
    8·2 answers
  • How many solutions can be found for the system of linear equations represented on the graph?
    9·1 answer
  • 100 POINTS!!! Trapezoid P'Q'R'S' is the result of a dilation with a scale factor of 0.5 and a translation to the right. Which st
    11·1 answer
  • What is 1/4 equal to?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!