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
Arada [10]
3 years ago
14

To get to school you can travel by car, bus or bicycle. If you travel by car, there is a 50% chance you will be late because the

roads are very busy. If you travel by bus, which uses special reserved lanes and the busway, the probability of being late is only 20%. If you travel by bicycle you are only late 1% of the time.
(a) Suppose that you are late one day to class. Since your teacher does not know which mode of transportation you usually use, he assumes each of the three possibilities are equally likely. If you are late, find the probability that you travelled to school that day by car?

(b) Suppose that a friend tells your teacher that you almost always ride your bicycle to school, never take the bus, but 10% of the time travel by car. If you are late, what is the new probability that you travelled to school that day by car?
Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

a) 16.66%

b) 5%

Step-by-step explanation:

a)

Since the teacher assumes each of the three possibilities are equally likely, then he assumes 33.33% to each one.

In this case the probability that you traveled to school that day by car would be

50%  of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%

b)

In this case, the teacher would assume

90% ride on bicycle

0% take the bus

10% travel by car

So, in this case the probability would be

50% of 10% = (0.5)(0.1) = 0.05 = 5%

You might be interested in
In basketball there are 1,2, and 3 point shots. In the last game sarah scored a total of 25 points by making 13 total baskets. S
ollegr [7]

Answer:

3 , 6 , 4

Step-by-step explanation:

Given:

There are three groups of shots in basketball.

First group carry = 1 point

Second group carry = 2 points

Third group carry = 3 points

Sarah scored a total of 25 points by making 13 total baskets.

She made twice as many 2 point shots as she did 3 point shots.

Question asked:

How many of each type of shot did she make ?

Solution:

Let number of baskets, she made which carry 3 points = x

Then, number of baskets, she made which carry 2 points = 2x

Total number of baskets, she made = 13

Then, number of baskets, she made which carry 1 points = 13-(x+2x)=13-3x

Now,

Sarah scored a total number of points = 25

3\times x+2\times2x+1(13-3x)=25\\3x+4x+13-3x=25\\4x+13=25

Subtracting both sides by 13

4x=25-13\\4x=12

Dividing both sides by 4

x=3

By substituting the value:-

Number of baskets, she made which carry 3 points = x = 3

Number of baskets, she made which carry 2 points = 2x = 2\times3=6

Number of baskets, she made which carry 1 points = 13-3x=13-3\times3=13-9=4

Thus, she made 3 baskets of 3 points, 6 baskets of 2 points and 4 baskets of 1 point.

6 0
3 years ago
A trader buys pens at $44 a dozen and sells them at $20 each. Find his profit if he sells 60 pens.
Stels [109]
60 pens/ A dozen pens= 5 packs of a dozen pens
$44*5= $220 total spent
$20*60=$1200 total money a trader gets
$1200-$220=$980 in profits.

Hope I didn't mess up for your sake.
4 0
3 years ago
6<br> 20<br> 4<br> What is the area
Colt1911 [192]

Answer:

120

Step-by-step explanation:

if 4 is the height, 6 is length and 20 is with, than it would be an area of 120 we get this by multiplying length times with, or 6 times 20. Hope this helped :D

8 0
3 years ago
Determine the zeros of f(x)=x^3+7x^2+10x-6
igor_vitrenko [27]
Hello,
x^3+7x^2+10x-6=x^3+3x^2+4x^2+12x-2x-6
=x²(x+3)+4x(x+3)-2(x+3)
=(x+3)(x²+4x-2)
=(x+3)(x+2-√7)(x+2+√7)

zeroes={-3,-2+√7,-2-√7}

4 0
3 years ago
Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
lisov135 [29]
Your answer would be the last option, (6x² - 5)(x² + 2).
This is because when you expand it, you get:
6x² × x² = 6x⁴
6x² × 2 = 12x²
-5 × x² = -5x²
-5 × 2 = -10
Which are all the correct terms.

I hope this helps!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Over what interval is the graph of f(x) = -(X + 8)2 – 1 decreasing?
    7·2 answers
  • What is 127,034 rounded to the nearest ten thousand
    11·1 answer
  • Can someone help me with this
    8·1 answer
  • Solve the proportion for n.<br> 1260/20=n/1
    15·1 answer
  • Help please?
    5·2 answers
  • Six times a number w is at least-24​
    10·1 answer
  • Population of 2,400 increased by 80%
    6·1 answer
  • PLZ!!!!!!
    13·2 answers
  • 20 POINTS ANSWER QUICK<br> 7 (1) = 7 is an example of what property?
    12·2 answers
  • Is 18,107,190 divisible by 3?<br><br><br>YES or NO<br><br><br>HELP ME PLZ I"M CRYING!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!