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

Can anyone help Me with this?

Answers

Answer:

Mean is 13.5

Median is 10

Step-by-step explanation:

Answer:

Mean: 13.5

Medain: 10

A military jet flying with the wind travelled 1500 km in 1.5 hrs, but when the plane turned around, it took 1.875 hours to return to its base. Find the rate of the plane in calm air and the rate of the wind. pls solve with 2 variables!

Answers

Answer:

With wind = 1000 km /hr

In calm air = 800 km/hr

Step-by-step explanation:

With wind :

Distance traveled = 1500 km

Time taken = 1.5 hours

Speed of plane in air :

Speed = distance / time

Speed = 1500 km / 1.5 hours

Speed = 100 km pe hour

In calm air :

Time taken = 1.875 hours

Distance = 1500 km

Speed of wind in calm air :

Distance / time

1500 km / 1.875

= 800 km/hr

Find the area of a isosceles triangle having the base x cm and one side y cm

Answers

Answer: xy/2 cm²

Step-by-step explanation:

An isosceles triangle is a triangle that has two sides out of the three sides to be equal. The area of an isosceles triangle is given as:

= 1/2 × base × height

where,

base = xcm

height = ycm

Therefore,

Area = 1/2 × x × y

Area = xy/2 cm²

Please help.
1) LaTeX: m\angle1=\:\:\:\:\:\:\:\:^\circm ∠ 1 = ∘

2) LaTeX: m\angle2=\:\:\:\:\:^\circm ∠ 2 = ∘

3) LaTeX: x\:=\:\:\:\:m\:\left(exterior\:angle\right)\:=x = m ( e x t e r i o r a n g l e ) =

Answers

9514 1404 393

Answer:

Angle 1 = 139°Angle 2 = 41°x = 29; exterior angle = 131°

Step-by-step explanation:

These problems let you make use of the fact that the sum of the remote interior angles is equal to the exterior angle.

__

1. 53° +86° = ∠1

  139° = ∠1

__

2. ∠2 +92° = 133°

  ∠2 = 133° -92°

  ∠2 = 41°

__

3. (x +9)° +93° = (4x+15)°

  87 = 3x . . . . . . . . . . . . . . . . subtract x+15°

  29 = x . . . . . . . divide by 3

The exterior angle is ...

  (4x +15)° = (4·29 +15)° = 131° . . . exterior angle


What is the measure of angle A?*
A.27
B.36
C.63
D.216

Answers

Answer:

B. 36

Step-by-step explanation:

Answer:

36 degrees

Step-by-step explanation:

117 + 27 = 144

180 - 144 = 36

solve the inequality
-25/12 ≤ v + 5/3

Answers


V is greater than or equals to -15/4

According to your model, what price should you charge to maximize profit? Explain how you know this is the best price. (Hint: Remember that x represents change in price from $22, not price.) (3 points: 1 point for price and 2 points for explanation)

Answers

Answer:

$30 no decimal include in it so the answer is $30

what is the slope of a line parallel to each given line y = 4x - 5​

Answers

Answer:

20???

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

HELP PLEASE AND THANK YOU

Answers

Answer:

0

Step-by-step explanation:

the answer is 0

0 jhghjjjsjnsbsbdphgggbbbgff

I REALLY NEED HELP WITH THIS. it’s due at five pm and worth 20 points.

Answers

Answer:

[tex]m=\frac{225-135}{5-3} =\frac{90}{2}[/tex]

Step-by-step explanation:

OK i am glad to help.

Slope is [tex]\frac{y2-x2}{y1-x1}[/tex]

So, in the boxes, it is

[tex]\frac{225-x2}{y1-3}[/tex]

Our points are

5,225 and

3,135 so the slope should be

[tex]\frac{225-135}{5-3}[/tex]

This is the answer for the first box.

Second is

[tex]\frac{90}{2}[/tex].

Hope this helps plz hit the crown :D

Answer:

Step-by-step explanation:

225-135    =    90/2

5-3

I give brainlest! 20 points! First place 5 stars and a heart! Second place 4 stars and a heart!

Write the percent as a fraction in simplest form and as a decimal. 36%

The fraction is

The decimal is

Answers

Fraction: 36/100 | Simplified: 9/25

Decimal: 0.36

I hope this helps, and Happy Holidays! :)

Answer:

fraction: 36/100 = 9/25

decimal: 0.36

Step-by-step explanation:

The drawing at the right shows a person,
5 feet tall, casting a shadow 3 feet long.
The tree is casting a shadow 15 feet long.
How tall is the tree?

Answers

Answer:

I would say the tree is 18 feet tall

Answer: 25 feet tall

Step-by-step explanation:

First, let's take a look at the person. If they are 5 feet tall and cast a shadow of 3 feet, we can easily convert this into a proportion: 5 feet tall: 3 feet shadow.

Continuing with this method, we can convert the tree into a proportion: x feet tall: 15 feet shadow.

So, 5:3=x:15. Mathematically, think of it as 5/3=x/15.

To find x, you will need to multiply 15 to both sides, or perform cross multiplication.  (5/3)(15)=(x/15)(15). This will equal 25. The tree is 25 feet tall.

Demons answer this for me.

Answers

Answer:

Step-by-step explanation:

if you have negative numbers of x (this means negative meters) then the equation transform them into negative yards.

then replace y by 40yd in the equation like

40 = 1.09x

x = 40/1.09 = 36.7 meters

so in a 40yd race, there are 36.7 meters.

At midnight what temperature is -6C. At midday the temperature is -9C. By how much did the temperature rise ?

Answers

Answer:

It didn’t go up, it went down 3 degrees

Step-by-step explanation:

It’s negative degrees so the less negative it is the higher it is.

Answer:

it rose by -3C, or went down 3C

Step-by-step explanation:

Students in Mr. Lewis's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?

Answers

Answer:

Ramon will read 70 each night.

Step-by-step explanation:

25% of 280

REMEMBER: "Of" means to multiply

25% x 280

Convert the percent into a decimal

0.25 x 280 = 70

So Ramon will read 70 pages each night.

Hope this helps!!

A small submarine travels at a speed of 2.4 km per hour. How far will the submarine travel in 0.25 hours

Answers

Answer:

a

TRUST ME

Step-by-step explanation:

PLEASE MAKE ME BRANLIEST

Answer:

[tex]\boxed {\boxed {\sf A. \ 0.60 \ km}}[/tex]

Step-by-step explanation:

Distance (how far the submarine travelled) can be found by multiplying the speed by the time.

[tex]d=s*t[/tex]

The speed is 2.4 kilometers per hour.

The time is 0.25 hours.

[tex]s= 2.4 \ km/hr \\t= 0.25 \ hr[/tex]

Substitute the values into the formula.

[tex]d= 2.4 \ km/hr * 0.25 \ hr[/tex]

Multiply. Note that the hours (hr) will cancel each other out.

[tex]d= 0.6 \ km/hr *hr[/tex]

[tex]d= 0.6 \ km[/tex]

The submarine travelled 0.6 kilometers in 0.25 hours.

How many natural numbers greater than 6 but less than 60 are relatively prime to 15?

Answers

Answer:

7,8,11,13,14,16,17,19,22,23,26,28,29,31,32,34....

Step-by-step explanation:

ANY NUMBERS that are NOT divisible by 5 or 3 basically

Hope it helps!

If the right tail of a dot plot is longer than the left, which of these statements is true about the distribution it represents?​

Answers

Answer:

D

Step-by-step explanation:


16. Keisha has a bag that contains 3 red, 2 orange, 1 yellow, and 2 purple marbles. She will
randomly choose 1 marble from the bag. What is the probability that Kelsha will choose
an orange marble?
O.
3
8
2
-bh
1
0
8
o
0
1
4
2

Answers

Answer:

1/4

Step-by-step explanation:

you add 3+2=5+2=7+1=8 which is the total amount 8. Then the question is asking What is the probability that Kelsha will choose

an orange marble then the orange marble is 2 which is 2/8. Then simplify 2/8 get to 1/4.

I WILL GIVE BRAINLIEST PLEASE.
After an interview, Manahil reached her home at 1305 hrs. If she stopped at the petrol station for 10 mins and then later for 25 mins at Cocochan to pick up some lunch, exactly how long was her journey?

Answers

Answer:

well i think add everything up like add 1,305 to 25 and 10 you should hopefully get your answer not quite sure what subject you are on but hope this works.

to convert the ratio of 3:5 to 5:6, which number should be added on both?​

Answers

The number that should be added on both is 7.

I'LL give brainliest!!

Answers

Answer: B

Step-by-step explanation:

option b is the right answer [3]

[tex]2^{2} * 3^{2} * 5 =180[/tex]

mark brainiest

Step-by-step explanation:

Evaluate 5 · (x – 3) when x = 10.

Answers

Answer:B. 35

Step-by-step explanation:

replace x with 10. subtract 3 from 10 and you have 7. Then multiply 5 by 7. you have 35. your welcome.

triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?

Answers

Answer:

idek

Step-by-step explanation:

i do not know i’m sorry.

Decide whether or not it is possible for a triangle to have three angle measurements or three side lengths given. If it is possible, then decide whether all such triangles are congruent.

Answers

Answer:

First one is not possible

Second one is possible, and would be an isocèles triangle

Third one is possible, would be scalene

Last one is not possible

Comment any further questions :)

Step-by-step explanation:

Micah downloads music from an online music store. He pays $1.00 for each song, but if he buys three songs he gets a fourth song for free. Does this relationship have a constant rate of change or a varying rate of change?

Answers

Answer: this relationship has a constant rate because the pattern will stay as buy three get the 4th one free

Step-by-step explanation:

Answer:

A varying rate of change.

Step-by-step explanation:

He will have spend 1 dollar for one song, making that point (1,1), 2 dollars for two songs (2,2), 3 dollars for 3 songs (3,3), but when he buys a fourth song, which is free, he has still only spent 3 dollars, making the point (4, 3).

(That's with the amount of songs as the x value and money spent as the y-value)

Help pls, almost out of time ​

Answers

Answer:

angle 1

Step-by-step explanation:

it looks the biggest of all

MATH QUESITON - PLEASE ANSWER ASAP
Please look at the picture below and give me answers to both the questions.

Answers

Answer:

16)

Bobby - 70

Hannah - 90 (Wins the round)

Carlos - 80

17)

Bobby - 7  (Wins the round)

Hannah - 3

Carlos - 5

Step-by-step explanation:

First we can make the variable n into each of the values they chose for the equations. Let's start with 16.

The equation is - (3+7) X (10 - n ÷2)

Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.

USE PEMDAS!!!

16)

Bobby -

1. (3+7) X (10 - 6 ÷2)

2. 10 X (10 - 6 ÷ 2)

3. 10 X 7

4.  Answer for Bobby - 70

Hannah -

1.  (3+7) X (10 - 2 ÷2)

2. 10 X (10- 2 ÷2)

3. 10 X 9

4. Answer for Hannah - 90 (Wins the round)

Carlos -

1. (3+7) X (10 - 4 ÷2)

2. 10 X (10 - 4 ÷ 2)

3. 10 X 8

4. Answer for Carlos - 80

17)

Bobby -

1. (2 X 6 + 2) ÷ 2

2. (12 + 2) ÷ 2

3. 14 ÷ 2

4. Answer for Bobby - 7 (Wins the round)

Hannah -

1.  (2 X 2 + 2) ÷ 2

2. (4+2) ÷ 2

3. 6 ÷ 2

4. Answer for Hannah - 3

Carlos -

1. (2 X 4 + 2) ÷ 2

2. (8+2) ÷ 2

3. 10 ÷ 2

4. Answer for Carlos - 5

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!!!

For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 6 options:

A)

right 2 and upward 3.

B)

right 3 and upward 2.

C)

left 3 and downward 2.

D)

left 2 and downward –3.

Answers

Answer:

A

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then f(x - 2) represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then f(x - 2) + 3 is shift to the right of 2 and up by 3 units

Answer:

right 2 and upward 3.

Step-by-step explanation: I took the test

what is the given amount converted to the given units 144 ft; inches​

Answers

Final Answer: [tex]1728[/tex] inches

Steps/Reasons/Explanation:

Question: What is the given amount converted to the given units 144 ft; inches?

Formula to convert feet to inches: Multiply the length value by 12.

Steps: Multiply 144 by 12

[tex]144[/tex] × [tex]12[/tex] = [tex]1728[/tex] inches

~I hope I helped you :)~

The answer is 1748 .....
Other Questions
How are coordinate planes the same ???? 22 points if u can answer Which set of ordered pairs does not represent a function? O {(-3,-9), (7,9), (9, 1), (7,3)} O {(-3,8),(-6,5), (-5, -6), (1,-6)} O {(3,1),(-2,-9), (6,-9),(4,6)} o {(4,3), (-4,4),(-2,-5), (6,4)} 30 POINTS BRAINLY FIRST REAL RESPONSE Step 3: Applying linear functionsGrace and Claires parents are saving money now for their college education. Function 1 shows the growth of baby Graces college fund over time. Function 2 shows growth of baby Claires college fund over time.a) If Grace and Claires parents each invested $7,600 into a college saving account when the girls were born, how much money will each girl have for college when she turns 18? Explain. (2 points) b) Do the functions show a positive or negative correlation between time and the amount of money saved? Explain. (1 point) 17. Write a rational function in expanded form that satisfies thefollowing criteria: V.A. x=2 SI.A y =5x-1 Zero of function (-1,0)pls help thank you What would you suggest as a strategy to reduce pollution globally? Implement policies to reduce fossil fuel emissions around the world. Monitor the volume of pollutants released from cars and other vehicles in Africa. Create pamphlets about air pollution health effects and distribute them to the Americas. Enforce strict regulations by fining industries that release air pollutants in Europe. A bag of coins contains only quarters and dimes. The number of dimes in the bag can be represented by x. The number of quarters is 6 more than twice the number of dimes. There are a total of 276 coins in the bag. What is x, the number of dimes in the bag?helpp pls find 59.2% of 250................................... If a 5-foot man casts a 6-foot shadow, how tall is a tree that casts a24-foot shadow? How can steroids benefit you? Can u write at least a paragraph which is high school level ........URGENT PLEASE HELP............ According to the lecture, which of the following is not a reason men communicate?a.to share informationb.to entertain an audiencec.to accomplish a taskd.all of these are not reasons men communicate What are the coordinates of point A? 25 POINTS Which three animals is the tiger most closely related to? ead the stage direction from act 1 of The Monsters Are Due on Maple Street. NARRATOR'S VOICE Maple Street, U.S.A., late summer. A tree lined little world of front porch gliders, hop scotch, the laughter of children, and the bell of an ice cream vendor. There is a pause and the CAMERA MOVES OVER to a shot of the Good Humor man and two small boys who are standing alongside just buying ice cream. Based on this stage direction, readers should picture Maple Street as a mysterious place. quiet place. chaotic place. charming place. In the year 2000, it was reported that health care costs exceededa.)$1.3 trillion.c.)$130 trillion.b.)$13 trillion.d.)the national debt. 1. Give one example of an organic substance.2. Which inorganic substances does a plant use to make carbohydrates? Is the is the movement of planets predictable Flying to Havana with a tailwind a plane averaged 258 km/h. On the return trip the plane onlyaveraged 218 km/h while flying back into the same wind. Find the speed of the plane in still airand the speed of the wind. What problems might be seen if glaciers and ice caps worldwide continue to melt?A global levels of sea water might increaseB. global surface temperatures might increaseC. global levels of sea water might decrease.D. global levels of fresh water might decrease How many elements are artificially made?