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
almond37 [142]
3 years ago
15

There are two traffic lights on Broadway. The probability of being stopped at the first light is

Mathematics
1 answer:
kiruha [24]3 years ago
6 0

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

The probability at being stopped at exactly one light is 1-0.18-0.28=.54 or 54%.

You might be interested in
Solve the system of equations by using substitution.<br> x+8y=-2<br> x-3y=20
zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

x+8y=-2\\x=-2-8y

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

x-3y=20\\(-2-8y)-3y=20

We can then simplify:

-2-8y-3y=20 Given equation

-2-11y=20 Combine y terms

-11y=22 Add 2

y=-2 Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

x+8y=-2

x+8(-2)=-2 Substitute for y

x-16=-2 Distribute 8

x=14 Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

4 0
3 years ago
The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requir
iVinArrow [24]
The characteristics of these geometric figures create:
1. Parallel lines are lines in the same plane that will never intersect and also if they are in different planes, those lines will never intersect too.
2. While perpendicular lines are two lines that will meet at a 90-degree angle or right angle.
3 0
3 years ago
Read 2 more answers
To copy an angle using only a compass and a straightedge, begin by marking the vertex of the new angle. Then draw a ray from the
podryga [215]

The <em>correct answer</em> is:


Place the point of the compass on the vertex of our original angle. Open the compass to a random width and draw an arc through both legs of the angle. Mark the points of intersection with this arc and the sides of the angle.


Explanation:


In order to copy the angle, we need to have some reference for how wide the angle is.


So far all we have is a ray. To get the reference for the width that we need, we will construct an arc in the original angle such that it intersects each side of the angle.


We will then set the compass width to these points of intersection. This will be how we set the width of the new angle.

5 0
3 years ago
Read 2 more answers
3+12x5/(5+15) What’s the answer
r-ruslan [8.4K]

\bf 3+12\times \cfrac{5}{(5+15)}\implies 3+12\times \cfrac{5}{\underset{\uparrow }{20}}\implies 3+12\times \cfrac{1}{4}\implies 3+\cfrac{\stackrel{\downarrow }{12\times 1}}{4} \\\\\\ 3+\cfrac{12}{4}\implies 3+\stackrel{\downarrow }{3}\implies 9

3 0
3 years ago
Read 2 more answers
What is (x,y) (x-4, y+2)? A. rotation B. reflection C. Transition D. Dilation
Novosadov [1.4K]

Answer:

im pretty sure it’s a sorry if i’m wrong

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • 3. <br> Point C(9,-6) is dilated using a scale factor<br> of 2/3. What are the coordinates of C"?
    9·2 answers
  • Which equation best describes the relationship between the amount of money a in a bag of quarters and the number of quarters q?
    7·1 answer
  • If you have 1 diomand and you add 1000 how many do you have?
    12·1 answer
  • The two parallelograms in the figure are similar. What is the value of x?
    7·2 answers
  • The dual bar chart shows the hair colour of boys and girls in a year group. How many students are in the year group?
    6·1 answer
  • Help please! I do not exactly understand how to do this. Thanks!
    15·1 answer
  • For his long distance phone service, Manuel pays a $2 monthly fee plus 12 cents per minute. Last month, Manuel's long distance b
    13·1 answer
  • Two angles that can be trisected with a straightedge and compass are
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=f%28x%29%3D%7C3x-5%7C%2B7x%5C%5Cg%28x%29%3D-2x%2B9%5C%5Cwhat%20is%20%5C%5C%20%28f%2Bg%29%28x%2
    5·1 answer
  • Simplify using the division rule<br> 14,252<br> Trs
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!