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
ozzi
3 years ago
8

Carson drives to school the same way each day and there are two independent traffic lights on his trip to school. He knows that

there is a 30% chance that he will have to stop at the first light and an 80% chance that he will have to stop at the second light. What is the probability that he will NOT have to stop at either light?
A: 14%
B: 24%
C: 50%
D: 80%
Mathematics
2 answers:
Lorico [155]3 years ago
8 0

Answer:The correct answer is A, 14%.

Step-by-step explanation:

All you have to do is take the 30% chance of you HAVING to stop at the first light and find the chance that you won't have to stop at the first light, which is 70%, or .7. Then you take the chance of having to stop at the second light which is 80%, and find the probability of NOT having to stop there, which is 20%, or .2. Then you multiply the probabilities of not having to stop, which equals to .14.

n200080 [17]3 years ago
5 0
The probability that he will not have to stop at the first light is 1 - 0.3 = 0.7.
The probability that he will not have to stop at the second light is 1 - 0.8 = 0.2.
The probability that he will not have to stop at either light is:
0.7\times0.2=0.14
The correct answer choice is A.
You might be interested in
Bruce rents snowmobiles to tourists.He charges $135 for 4 hours and $202.50 for 6 hours
denis-greek [22]
I think the answer is 1215
6 0
3 years ago
Read 2 more answers
Name a quadrilateral with exactly two pairs of congruent angles.
Inessa [10]

parallogram it has exactly 2 pairs of congruent angles

7 0
3 years ago
Read 2 more answers
Determine if there is a proportional relationship between the two quantities
Shalnov [3]

Answer:

The table a not represent a proportional relationship between the two quantities

The table b represent a proportional relationship between the two quantities

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

<u><em>Verify each table</em></u>

<em>Table a</em>

Let

A ----> the independent variable or input value

B ----> the dependent variable or output value

the value of k will be

k=\frac{B}{A}

For A=35, B=92 ---> k=\frac{92}{35}=2.63

For A=23, B=80 ---> k=\frac{80}{23}=3.48

the values of k are different

therefore

There is no proportional relationship between the two quantities

<em>Table b</em>

Let

C ----> the independent variable or input value

D ----> the dependent variable or output value

the value of k will be

k=\frac{D}{C}

For C=20, D=8 ---> k=\frac{8}{20}=0.40

For C=12.5, D=5 ---> k=\frac{5}{12.5}=0.40

the values of k are equal

therefore

There is a proportional relationship between the two quantities

The linear equation is equal to

D=0.40C

7 0
3 years ago
Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,
Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x[/tex]

Now we change the variables.

F(x)=log x-\frac{2}{3}

F(x) and g(x) are not inverse functions.

4 0
2 years ago
Rewrite the equation by completing the square.
Dennis_Churaev [7]
Once you complete the square, the simplified version of this equation is

(2x - 1)^2= 0

If you want to solve for x, subtract 1 and divide by 2.

x = 0.5
7 0
3 years ago
Other questions:
  • How can you the unit rate on a graph that goes through the origin ?
    11·1 answer
  • "The sum of the abscissa and the ordinate is six"?
    12·1 answer
  • Inequality in words X &gt; 9
    10·2 answers
  • I'm too lazy to do my math homework
    10·1 answer
  • 24 divided by 111 in a decimal number
    13·1 answer
  • An artist wishes to make a canvas in the shape of a golden rectangle. He only has enough framing material for a perimeter of 36
    9·1 answer
  • The pic is the question! Please help
    5·2 answers
  • Find the area please :)))
    14·1 answer
  • Please helP I WILL MARK BRAINLIEST!
    8·1 answer
  • Starting at 7:00 a.m., Lin spent a day hiking through a canyon. This graph shows her elevation (in meters) at some different tim
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!