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
SashulF [63]
4 years ago
8

The route used by a certain motorist in commuting to work contains two intersections with traffic signal lights. The probability

that she must stop at the first signal and second signal are 0.40 and 0.50, respectively. The probability that she must stop at either signal is 0.60. What is the probability that she must stop at the first signal but not the second signal? Let: F = must stop at first signal F’ = do not have to stop at first signal S = must stop at second signal S’ = do not have to stop at second signal
Mathematics
1 answer:
victus00 [196]4 years ago
6 0

Answer: 0.1

Step-by-step explanation:

Let F = must stop at first signal .

F’ = do not have to stop at first signal .

S = must stop at second signal .

S’ = do not have to stop at second signal.

As given , we have

P(F)=0.40

P(S)=0.50

P(F∪S)=0.60

Use formula , P(F\cap S)=P(F)+P(S)-P(F\cup S)

i.e. P(F\cap S)=0.40+0.50-0.60=0.30

The probability that she must stop at the first signal but not the second signal :

P(F\cap S')=P(F)-P(F\cap S)=0.40-0.30=0.10

Hence, the probability that she must stop at the first signal but not the second signal= 0.1

You might be interested in
Can you guys help me with this? Please.
daser333 [38]
Plug in any number for x to find points to plug into the graph.

One of the points is already given, the y intercept , (0,-9)

(0,-9) (3, -4) (-3,-14)

Plug those points in and draw a straight line going through them that should be your graph :)
3 0
3 years ago
5. Veronika works at Future Shop and earns $10.50/h plus 6% commission on sales. Last week Veronika worked 40
Harlamova29_29 [7]
I believe it is $2470
3 0
3 years ago
Select the correct locations on each number line.
alexandr402 [8]

Answer:

girl joi for help all

tmy-kvfr-koh

4 0
3 years ago
A line passes through the points (1, –6) and (4, 3).
Ivanshal [37]

Answer:

y = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (4, 3)

m = \frac{3+6}{4-1} = \frac{9}{3} = 3

y = 3x + c ← is the partial equation

To find c substitute any of the 2 points into the partial equation

Using (4, 3), then

3 = 12 + c ⇒ c = 3 - 12 = - 9, hence

y- intercept c = - 9 ⇒ (0, - 9 )

8 0
3 years ago
Read 2 more answers

julsineya [31]
The answer is C.672 sq in. bescause you have to times 14 by 48 and get your area of 672.
4 0
3 years ago
Other questions:
  • Can someone help me answer this please
    10·1 answer
  • 0.0985 rounded to the nearest tenth<br><br> Need fast answersss!!
    10·1 answer
  • Write an equation using at least 4 numbers
    7·2 answers
  • what is the lateral area of a square pyramid with a side length of 11.2 centimeters and slant height 20 centimeters
    6·1 answer
  • Coconut palm trees can reach heights of up to 100 feet. Suppose you are lying on the beach at a distance of 60 feet from a 48-ft
    8·2 answers
  • What are two different statistics that demographers use to study population? define the statistics?
    11·2 answers
  • Substitue the expression 5-3x into the second equation
    13·1 answer
  • ​If, based on a sample size of 950​, a political candidate finds that 563 people would vote for him in a​ two-person race, what
    9·1 answer
  • Write explicit (for the nth term) formulas: 41, 35, 29, 23
    14·1 answer
  • You and your friend play a video game. You have a final score of 120 points and your friend has a final score of-67 points. By h
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!