Suppose a certain traffic light shows a red light for 50 seconds, a green light for 50 seconds, and a yellow light for 5 seconds. If you look at this light at some randomly selected instant, what is the probability you will see a yellow or green light?

Answers

Answer 1

Answer:

[tex]P(Yellow\ or\ Green) = 0.524[/tex]

Step-by-step explanation:

Given

[tex]Yellow = 5\ seconds[/tex]

[tex]Green = 50\ seconds[/tex]

[tex]Red = 50\ seconds[/tex]

Required

Determine the probability of Green or Yellow

First, we need to determine the total time

[tex]Total = 50 + 50 + 5[/tex]

[tex]Total = 105\ seconds[/tex]

Next, is to determine the required probability

This is calculated as follows:

[tex]P(Yellow\ or\ Green) = P(Yellow) + P(Green)[/tex]

[tex]P(Yellow\ or\ Green) = \frac{n(Yellow)}{Total} + \frac{n(Green)}{Total}[/tex]

[tex]P(Yellow\ or\ Green) = \frac{5}{105} + \frac{50}{105}[/tex]

[tex]P(Yellow\ or\ Green) = \frac{5 + 50}{105}[/tex]

[tex]P(Yellow\ or\ Green) = \frac{55}{105}[/tex]

[tex]P(Yellow\ or\ Green) = 0.52380952381[/tex]

[tex]P(Yellow\ or\ Green) = 0.524[/tex] -- Approximated


Related Questions

what is 1.9 times (1/4) ?

Answers

Answer: 19/40 Step by step

Step 1 of 2: Convert decimal to fraction.

Convert decimal to fraction

0.475 = 475 over 1000

475

1000

Step 2 of 2: Simplify.

Simplify

475 over 1000

475

1000

= 19 over 40

19

40

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

475 over 1000

475

1000

= ( 475 ÷ 25 ) over ( 1000 ÷ 25 )

475 ÷ 25

1000 ÷ 25

= 19 over 40

19

40

25 is the greatest common divisor of 475 and 1000. Reduce by dividing both numerator and denominator by 25.

As shown in the figure below, Amanda is looking at a tree that is leaning at an angle of 79° with respect to the ground. The angle of elevation from where
Amanda is standing to the top of the tree is 43°. The length of the tree is 66 feet. Find the distance, x, from Amanda to the base of the tree. Round your answer
to the nearest tenth of a foot.
661
feet
х
x
5
2
?

Answers

Answer:

3 plus 2 is 5

Step-by-step explanation:

the f tear is known to you

How do you work out the probability

Answers

Everybody has to be there at school

Jack's father is three times older than Jack. Five years ago, the sum of their ages was 34. How old is Jack's father now?.

Answers

Jacks father is 3x older than jack, 5 years ago the sum was 34

Jack = 3 x j = 3j

J is 11 years old

Does anyone know the answers to these riddles?

Answers

Answer:

1. Something along they will cheetah (kind of like they will cheat)

2. Because it was a boxer

Answer:

1. They might be cheetahs!

2.Becasue it was a boxer!

Step-by-step explanation:

Hope this helps!

Brainliest is appreciated!

Have a great day!

~Mitsuna

13 men can weave 117 baskets in a week how many men will need to be 189 baskets in 3days​

Answers

Answer:

49 men will be required to weave 189 baskets in 3 days.

Answer:

49 men required

Step-by-step explanation:

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Check the graph

f(x) means y

Here

x is infinite in positive direction (right)y is also infinite in positive direction(up)

So the answers are

[tex]\\ \rm\rightarrowtail x\to + \infty,f(x)\to 0[/tex]

[tex]\\ \rm\rightarrowtail x\to -\infty,f(x)\to +\infty[/tex]

Option B and D are correct

CAN ANYONE ANSWER MY QUESTION ASAP The diameter of a cylinder is 5 yd. The height is 4 yd. Find the VOLUME of the cylinder

Answers

Answer:

78.54 (rounded to 2 d.p)

Step-by-step explanation:

The formula for the volume of cylinder is πr(squared)h

Radius is half of the diameter so 5/2 = 2.5

The height is 4

Therefore,

π x 2.5 x 4 = 78.53982

72.7/30 simplified
And 42.7/30 simplified

Answers

For 72.7/30 is 2.009 or 2 0.9/10
For 42.7/39 is 2 1.7/30

Answer:

(1.)2.423

(2.) 1.423

Step-by-step explanation:

IMPORTANT!
I will mark brainliest to first answer if it’s right.
I set the point value to 40!!!

Answers

Answer:

m = 5

p = 10

Step-by-step explanation:

Part A

The dashes on the lines mean that the lines are equal in length.

Therefore, IJ = IH and HK = KJ

So as IJ = IH

⇒ 10 = 2m

⇒ m = 10 ÷ 2

m = 5

Part B

The line IK is the bisector of angle I since IJ = IH and HK = KJ

Therefore, 2p - 5 = p + 5

subtract p from both sides:

⇒ 2p - 5 - p = p + 5 - p

⇒ p - 5 = 5

Add 5 to both sides:

⇒ p - 5 + 5 = 5 + 5

p = 10

Find the midpoint P(-7, -3) and Q(9,-5)

Answers

Answer:

(1,-4)

Step-by-step explanation:

If AB = 10 and B lies at -6, where could A be located?

Answers

Answer:

26

Step-by-step explanation:

AB to B is 16 units, so it's reasonable to assume that A to AB is 16 units as well.

What is the equation in slope-intercept form of a line with
3
slope - and y-intercept –7?
3
y7
O A) y=xx+7
OB) v=xx-7
OC) y=x+7
)
X
2.
y
OD) y=-X-7

Answers

Answer:

B

Step-by-step explanation:

Just did the test. Wish you luck!!

The equation of line is y = ( 3/2 )x - 7 , where the slope is m = 3/2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 3/2

The y-intercept is b = -7

And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

So , y = ( 3/2 )x - 7

Hence , the equation of line is y = ( 3/2 )x - 7

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

13 percent of students are girls and 25 percent are boys how many students are there all ?

Answers

Answer:

0

Step-by-step explanation:

Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)

Answers

Answer: 3

Step-by-step explanation: (2x2 + 5x - 7) + ( 3 - 4x2 + 6x)= -8+11x=3

What is the slope of the line that passes through the points (–1, 3) and (5, 7)?

Answers

Answer:

6/4 or 1.5

Step-by-step explanation:

A roll of quarters is 10$ how many q in a roll write a equation

Answers

Answer:40

Step-by-step explanation:

10 devided by .25  = 40

ANSWER:
40 quarters

EXPLANATION:
There are 4 quarters in a dollar so there are 40 quarters in 10 dollars

If the graph of f(x)=x2, how will the graph be affected if the coefficient of x2 is changed to 3?

Answers

Answer:

435

Step-by-step explanation:

Transformations are used to change the orientation of a function to a new function. The graph of [tex]f(x) = x^2[/tex] will have its parabola widened when it changes to [tex]g(x) = 3x^2[/tex]

Given that

[tex]f(x) = x^2[/tex]

If the new function is:

[tex]g(x) = 3x^2[/tex]

It means that f(x) has been vertically translated by a scale factor of 3.

The graph will be affected such that the parabola of [tex]f(x) = x^2[/tex] will become widen when the coefficient changes to 3 i.e. [tex]g(x) = 3x^2[/tex].

See attachment for the graph of f(x) and g(x)

Read more about function transformation at:

https://brainly.com/question/12865301

Mr. Calles collects football memorabilia of his favorite teams. He collects Rams, 49ers, and Chargers mementos. The number of Rams items he has is four more than the number of Chargers items. The number of 49ers items is twice the number of Rams items. Altogether, he has 48 items. How many items from each team does he have.

Answers

Answer:

lift

Step-by-step explanation:

your head up

FREE BRAINLIEST
Write the inequality that matches the situation. Amanda rented a bike from Shawna's Bikes. They charge $2 per hour, plus a $10 fee. Amanda paid less than $27.

Answers

Here is the answer ......

Lesson 1 starts at 8:35 and each lesson lasts 60 minutes. There are 4 lessons and there is a 15 minute break between lesson 2 and 3

Answers

1250
Is the answer I think

The acceleration of a Maserati (sports car) is proportional to the difference between 250 km/h and its velocity. If the car can accelerate from rest to 100 km/h in 10 s, how long will it take for the car to accelerate from rest to 200 km/h?

Answers

Answer:

a) The differential equation for the velocity is given by

(dv/dt) = k(250 - v)

b) v(t) = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾

With units of km/h

Step-by-step explanation:

Acceleration, a ∝ (250 - v)

But acceleration is widely given as dv/dt

(dv/dt) ∝ (250 - v)

(dv/dt) = k(250 - v)

where k = constant of proportionality

(dv/dt) = k(250 - v)

b) (dv/dt) = k(250 - v)

dv/(250 - v) = k dt

∫ dv/(250 - v) = ∫ k dt

- In (250 - v) = kt + c (where c is the constant of integration)

v(0) = 0; meaning, at t = 0, v = 0

- In 250 = 0 + C

c = - In 250 = - 5.52

- In (250 - v) = kt - 5.52

In (250 - v) = 5.52 - kt

250 - v = e⁽⁵•⁵² ⁻ ᵏᵗ⁾

v = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾

With units of km/h

i hope this work for you

and sory if im wrang

-0.05 divided by -5/8

Answers

Answer:

0.00125

Step-by-step explanation:

A fair six-sided die is rolled and then a coin is flipped twice.
Calculate the probability of getting a 2 on the die followed by two heads from the
coin.
Give your answer as a fraction in its simplest form.

Answers

Answer:

1/24

Step-by-step explanation:

First, we need to create a sample space to list the possible outcomes.

S = {1HH, 1HT, 1TH, 1TT, 2HH, 2HT, 2TH, 2TT, 3HH, 3HT, 3TH, 3TT, 4HH, 4HT, 4TH, 4TT, 5HH, 5HT, 5TH, 5TT, 6HH, 6HT, 6TH, 6TT}

No. of total outcomes = 4 x 6 = 24 outcomesOnly one outcome has getting a 2 on the die followed by two heads on the coinP(2 on die, then two heads) = 1/24

Solution :-

1/24

what is x and y if x+y=64 and x-y=-18

Answers

Answer:

X = 41 and Y = 23

Step-by-step explanation:

41 plus 23 equals 64 and 41 minus 23 equals 18.

I need to find x. It wants me to find the indicated angle measure.

Answers

Answer:

x=33

Step-by-step explanation:

2x-18+4x=180

6x-18=180 combine like terms

   +18   +18 add on both sides

6x= 198  divide

x= 33

The polynomial 3x2 – 10x 8 has a factor of 3x – 4. what is the other factor of 3x2 – 10x 8?

Answers

The other factor of the polynomial [tex]\rm 3x^2-10x+8[/tex] is ( x - 2 )

It is given that the polynomial [tex]\rm 3x^2-10x+8[/tex] has a factor of  [tex]\rm (3x-4)[/tex].

It is required to find the other factor.

What is Polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have polynomial:

[tex]\rm = 3x^2-10x+8[/tex]

Now by using the factorization method:

[tex]\rm = 3x^2-10x+8\\\rm = 3x^2-6x-4x+8\\\rm =3x(x-2)-4(x-2)\\\rm = (x-2)(3x-4)[/tex]

Thus, the other factor of a given polynomial is ( x-2 )

Learn more about Polynomial here:

https://brainly.com/question/17822016

A box contains:

3 red crayons
7 blue crayons
4 yellow crayons
8 green crayons
2 black crayons
1 orange crayon
A crayon is chosen at random and replaced 50 times. What is a reasonable prediction for the number of times a blue or orange crayon will be drawn?

Answers

Answer:

16 times

Step-by-step explanation:

We first have to find the total amount of crayons:

[tex]3+7+4+8+2+1=25[/tex]

That means that the box contains a total of 25 crayons. Of those 25 crayons, 7 are blue and 1 is orange. That means every time one crayon is chosen from the box, there is an 8 in 25 chance it will be blue or orange. We can represent that chance as a fraction: [tex]\frac{8}{25}[/tex]

That [tex]\frac{8}{25}[/tex] chance occurs each time ONE crayon is chosen, so if we want to know how many times blue or orange will be chosen after 50 times, we can multiply that chance by 50.

[tex]\frac{8}{25}*50=400/25[/tex]

Then you simplify the fraction:

[tex]\frac{400}{25}=16[/tex]

That means that if you pull crayons from the box 50 times, a blue or orange crayon will be likely drawn around 16 times.

what is the length of PQ round to the nearest tenth of a unit p(-6 , 2) (-7 ,4)

Answers

Answer:

-73

please keeps as Brainly list

Answer:

≈ 2.2 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 6, 2) and (x₂, y₂ ) = (- 7, 4)

d = [tex]\sqrt{(-7+6)^2+(4-2)^2}[/tex]

   = [tex]\sqrt{(-1)^2+2^2}[/tex]

   = [tex]\sqrt{1+4}[/tex]

    = [tex]\sqrt{5}[/tex] ≈ 2.2 ( to the nearest tenth )

is (5,9) a solution to y=3x-6? Explain or show how you know.

Answers

Answer:

Yes

Step-by-step explanation:

Plug in the coordinate (5,9) into the equation

9=3(5)-6

9=15-6

9=9

The y-intercept is when the line
crosses the y-axis, so when X
=
Oy = 3(0) + 6 = 6,
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