At an intersection, the red light of route A is red for 60 seconds and the other two lights are red for 45 and 75 seconds, respectively. What is the probability that a car traveling from route A will encounter a red light at an intersection?

Answers

Answer 1

Answer:

1/3

Step-by-step explanation:

The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.

The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.

Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.

So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)

= 60 s/180 s

= 1/3


Related Questions

Find the area of the figure above.

Answers

Answer:

84

Step-by-step explanation:

You do problems like these by finding the area of each shape individually and then adding them together. I first found the area of the rectangle by multiplying 6 in. by 11 in. to get 66 in.^2. I then found the area of the triangle by multiplying length of the base of the triangle which is the same as the short side of the rectangle at 6 in. by the 6 in. height and dividing it by 1/2. This gets 18 and 66+18=84



(m + n)3
for m = 1 and n = 1

Answers

Answer:

3+3 am I right... I think I am

Answer:

(m+n)3 for m =1 and n =1

An experiment is completed where a coin is flipped and a six-sided die (singular for dice) is rolled. The outcomes from the experiment are shown, where H represents heads and T represents tails. H1, H2, H3, H5, H6, T1, T1, T2, T3, T5. What percent of the outcomes included tails with an off number greater than 1? 1.) 16 2/3% 2.) 25% 3.) 33 1/3% 4.) 41 2/3%

Answers

Answer:

1) [tex]16\frac{2}{3}[/tex]% or 20%

Step-by-step explanation:

Given that:

An experiment which is carried out by flipping a coin and rolling six sided die.

The outcomes can be:

{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}

As per question statement:

Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)

Total number of outcomes here is 10.

Therefore, to find the percentage, we use the following formula:

[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100[/tex]

[tex]\Rightarrow \dfrac{2}{10}\times 100 = 20\%[/tex]

As per question statement, the answer is 20%.

If we consider all the outcomes, i.e.

{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

Total number of outcomes = 12

The percentage will come out be :

[tex]\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%[/tex]

 write an expression equivalent to 9X +14

Answers

Answer:

The correct answer is 9x+14

Step-by-step explanation:

Let's simplify step-by-step.

9x+14

There are no like terms.

What is the definition of the average rate of change?

Answers

Answer: basically rate of change is the rate either slow or fast the thing could be anything changes

Step-by-step explanation:

so i was soooooooo confused on that same thing when i studied it

Step-by-step explanation:

there is the thing Google a said

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 ft.
hl
Which equation gives the volume of the sphere?
V-011)
2

Answers

Answer:

length times width times height

Step-by-step explanation:

The equation for the volume of the sphere is:

V(sphere) = (4/3)πr³

What is a cylinder?

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

here,

We have,

If a sphere and a cylinder have the same radius and height, the volume of the cylinder is given by:

V(cylinder) = πr²h

where "r" is the radius of the cylinder, and "h" is the height of the cylinder.

If we know that the volume of the cylinder is 11 ft³, then we can write:

11 = πr²h

We can solve this equation for "h" to get:

h = 11 / (πr²)

Now, the volume of a sphere with radius "r" is given by:

V(sphere) = (4/3)πr³

Substituting the expression for "h" in terms of "r" into the volume formula for the cylinder, we get:

11 = πr²(11 / (πr²))

Simplifying this equation, we get:

11 = 11

This is an identity, which means that it is true for all values of "r".

Therefore, we can substitute any value of "r" into the formula for the volume of the sphere to get the volume of the sphere with the same radius as the cylinder.

Using the formula for the volume of a sphere, we get:

V(sphere) = (4/3)πr³

Thus,

The equation for the volume of the sphere is:

V(sphere) = (4/3)πr³

Learn more about cylinder here:

brainly.com/question/15891031

#SPJ7

Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 C)-4 D)
4

Answers

Answer:

4 < x < 12

Took the test

please help me with this I will name branlist​

Answers

I wish I knew but same profile pic pog

Answer:

IT's -3.6 & 14.4 so D is the correct answer

Step-by-step explanation:

x= -3.6 y= 14.4

HOW I SOLVED IT

-3.6 x 3 = -10.8    2 x 14.4 = 28.8 - 10.8 = 18  so correct since it must equal to 18

-2/3 x -3.6 =2.4  + 12 = 14.4 so correct since y = 14.4

Brainilest would be appreciated :)

PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch ​

Answers

graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5

graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2

graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4

graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3

I don't know if it's right tho :C

Answer:

The amount of fruit syrup Rex added is: 3 liters

and the amount of water he added is: 4 liters.

Step-by-step explanation:

3y = 2x + 6

x + y = 7

y = 7 - x

3(7 - x) = 2x + 6

21 - 3x = 2x + 6

21 - 6 = 2x + 3x

15 = 5x

15/5 = x

3 = x

x + y = 7

3 + y = 7

y = 7 - 3

y = 4

Solution is (3,4)

i been needing help with my work on study island

Answers

Answer:can I see the answer for the drop down box..

Step-by-step explanation:

Answer: The answer is they left about 24% of the tip

Step-by-step explanation: Find 15% of the total number, add 20 to it, then divide by the total bill

Bhurashi can do 1/3 part of work in 6 days. (I) In how many days would she complete the whole work​

Answers

We can write this as an algebraic expression, 1/3x = 6, where x represents the amount of work Bhurashi has done. This means that by multiplying 3 on both sides, we get x (100% of the work) = 18 (days).

A chess club with 25 members is electing a new president. Abdul received 23 votes. What percentage of the club members voted for Abdul?

Answers

Answer

92%

Explanation

23 out of 25 people voted Abdul.

So that means [tex]\frac{23}{25}[/tex] people voted Abdul.

When you divide 23 by 25 you get 0.92 which is 92% (multiply by 100).

You divide because a fraction means the numerator divided by the denominator.

Denise lives in a two-story house with a basement. The first story of the house is at ground level. The basement floor is at an elevation of −10.5 feet and the second story floor has an elevation of 12 1/4 feet. Use the absolute value of each elevation to find the distance between the basement floor and the second story floor.

Answers

Answer:

22.75 ft

Step-by-step explanation:

Given

Elevation of basement = -10.5 ftElevation of first story = 0Elevation of second story = 12 1/4 ft

The distance between basement and second story floors:

|-10.5| + |12 1/4| = 10.5 + 12.25 = 22.75 ft

what is the value of the 9 in 8,729,605

Answers

Answer: thousandths

9,000

Step-by-step explanation:

Answer: thousandths

Step-by-step explanation:

9,000


What is the slope of the line?

Answers

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

The slope of the line is -2/1 or -2. Because instead of rising you are going down -2. If you divide -2 by 1 it would be -2, so your slope is -2.
Hope this helps :)

бx +7= 8х - 15
Pls help will mark brainliest

Answers

Answer:

X=11

Step-by-step explanation:

-6x both sides of = sign

+ 15 both sides of = sign

x=11

6. What's the Error? Abram said the table at the right
does not show a function. Explain the error.

Answers

I’m sorry but I’m confused

5) 18 x1
A Commutative Property of Addition
B. Additive Identity Property
C Multiplicative Identity Property

Answers

Answer:

C

Step-by-step explanation:

hope this helps!!! have a nice day

Alexandra's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday
afternoon, the cafe sold 80 espressos in all, 64 of which were single-shot. What percentage of
the espressos were single-shot?

Answers

Answer: 80%

Step-by-step explanation:

64/80 x 100% = 80%

find the roots of the following equation by factorisation. x+1/x-1- x-1/x+1=5/6: X doesn't equal to 1,-1​

Answers

Answer:

x= -1/5

hope this helps you

Answer:

x = - [tex]\frac{1}{5}[/tex], x = 5

Step-by-step explanation:

Given

[tex]\frac{x+1}{x-1}[/tex] - [tex]\frac{x-1}{x+1}[/tex] = [tex]\frac{5}{6}[/tex]

Multiply through by 6(x - 1)(x + 1) [ the LCM of the denominators ]

6(x + 1)² - 6(x - 1)² = 5(x - 1)(x + 1) ← expand factors and simplify

6(x² + 2x + 1) - 6(x² - 2x + 1) = 5(x² - 1)

6x² + 12x + 6 - 6x² + 12x - 6 = 5x² - 5

24x = 5x² - 5 ( subtract 24x from both sides )

0 = 5x² - 24x - 5 ← in standard form

0 = (x - 5)(5x + 1) ← in factored form

Equate each factor to zero and solve for x

5x + 1 = 0 ⇒ 5x = - 1 ⇒ x = - [tex]\frac{1}{5}[/tex]

x - 5 = 0 ⇒ x = 5

Randeep purchased sandwiches and a gallon of milk for himself and his friends. Each sandwich cost $8. The gallon of milk cost $4. The total cost of the meal was $44. Which answer choice represents and solves correctly the equation for x, the number of sandwiches that Randeep purchased? DON'T FORGET THE NUMBER OF SANDWICHES RANDEEP MUST BUY TO REACH $44.

Answers

Answer: He bought 5 sandwiches.

Step-by-step explanation:

We know that he purchased sandwiches (let's suppose that he bought X ) and one gallon of milk.

The cost of each sandwich is $8, then the cost of the X sandwiches will be X times $8, or: X*$8.

The cost of the gallon of milk is $4.

The total cost will be:

$4 + X*$8.

And we know that the total cost was $44, then we have the equation:

$4 + X*$8 = $44

We can solve this for X

X*$8 = $44 - $4

X*$8 = $40

X = $40/$8 = 5

This means that he bought 5 sandwiches

Use the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality

[tex]3x - 12 \geqslant 7x + 4[/tex]


Answers

I solved it step by step ! Hope it helps!
Don’t forget a brainliest if it was correct ;)

Write the equation:
Jerry has a new job and earns a salary of $45, 000. Victoria has a
new job and earns a salary of $54,000. Jerry will receive a salary
increase of $2,500 per year and Victoria will receive a salary increase
of $1,500 per year.

Answers

How much is more is Jerry’s salary than Victoria’s salary after 3 years?

It’s a pretty simple question

Gina tracks the low temperatures for a city over six days. Identify the days colder than -1.75°F.

Answers

Answer:

Its Monday and Tuesday

Step-by-step explanation:

Answer:

Monday and Tuesday

Step-by-step explanation:

"Days colder than -1.75 F."

Note that in negative numbers the greater negative number contains a lesser value:

Tuesday: -1.9 F < -1.75 F

Monday: -2.5 F < -1.75 F

Determine if the graph is a function or not.

Answers

Answer:

No, it is not.

Step-by-step explanation:

Functions do not result in a 90 degree corner.  Functions are 100% straight.



5. Write an equivalent expression for (2x + 4)(x-5)

Answers

[tex]2x^{2} -10x +4x -20[/tex]

I'm not sure if you need to simplify

The Answer is: 2x^2-6x-20.

Is the relation a function?

Answers

no the line is going side ways, it has to be up and down! or straight across!

Answer:

yes

Step-by-step explanation:

For a relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.

Since the relation is a straight line , then each value of x will only map to one unique value of y ( passes the vertical line test )

Terri has 5 boxes of flower seeds.She wants to give the seeds away to her friends.If she gives 1/8 of a box to each. person, How many people can she give seeds to.

Answers

Answer:

40 people

Step-by-step explanation:

simply divide 1/8 from 5 which is 40

5/ 1/8 = 40

an angle is equal to five times of its complement then what is its measures​

Answers

Answer:

Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.

Step-by-step explanation:

If AB = 19, BC = 16, and m

Answers

mmmmmmmmmmmmmmmmmmmm
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