6. A stoplight at an intersection stays red for 60 second, changes to green for 45

seconds, and then turns yellow for 15 seconds. If Jamal arrives at the

intersection at a random time, what is the probability that he will have to wait at

a red light for more than 15 seconds?

Answers

Answer 1

Answer:

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds

Step-by-step explanation:

At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.

Uniform probability distribution:

Has two bounds, a and b. The probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Red for 60 seconds

So when Jamal arrives it can change in any number of seconds between 0 and 60, that is, [tex]a = 0, b = 60[/tex]

Probability that he will have to wait at a red light for more than 15 seconds?

[tex]P(X > 15) = \frac{60 - 15}{60 - 0} = \frac{45}{60} = \frac{3}{4} = 0.75[/tex]

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds


Related Questions

Please help me, there is a screenshot of the question below

Answers

Answer:

3?

Step-by-step explanation:

In a room, there are four chairs. The first chair is towards North, the third chair is towards south, the second chair is towards east and fourth chair is towards west. If the distance between any two consecutive chairs is equal and all the interior angles are 90° each, then which of the following shape is formed?
A) Square
B) Rectangle
C) Trapezium
D) Circle

Answers

Answer:

The correct answer is A. The shape formed by the four chairs is a square.

Step-by-step explanation:

A square is a figure whose 4 sides are exactly equal in length, and whose 4 interior angles are equal to 90 degrees each. Thus, if the distance between the chairs is exactly the same between them, it is understood that the "sides" of the figure are all the same. Thus, if all the internal angles of the figure are 90º, the figure that the chairs form is a square.

determine the discount between the point(-4,2) and the line 4y=3×+6​

Answers

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

Solve. *25 points*

1/2 divided by 2/3 =?

Answers

Answer:

The answer is 3/4

Step-by-step explanation:

When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!

Find the surface area of a rectangular prism that has the following dimensions.

length: 4.5 in.

width: 6 in.

height: 12 in.

surface area = ____ in^2

Answers

Answer:

306 maybe :3

Step-by-step explanation:

Which equation can be used to find A, the area of the parallelogram shown?

Answers

Answer:

The second one

Step-by-step explanation:

The area of a parallelogram = base length times height

If the parallelogram has a height of 4 and a base length of 9 then the area = 4 * 9

Answer:

The answer is: A= 4 x 9

Step-by-step explanation:

What is the range of the data

Answers

Answer:

56

Step-by-step explanation:

The range of a box and whisker graph is the difference of the furthest point to the right and furthest point to the left. 76-20 = 56

Answer:

The range is 56.

Step-by-step explanation:

The range is the greatest value subtracted by the smallest value.

76 - 20 = 56.

Also, It would be FRICKIN' FANTABULOUS if I could get brainliest!!!

Given that ABCD is an inscribed quadrilateral and m(ZDAB) = 78°. What is m(DAB)?

Answers

Answer:

204 degrees

Step-by-step explanation: maybe

If 0 is a positive acute angle and 2 cos 0+3 = 4,
find the number of degrees in 0.

Answers

Answer: 1 0 is like x you solve for x. X= 1 0=1

ESIGNMENTS
COURSES
Assignment - 12. Project. Dividing Fractions Performance Task B
Attempt tous
SECTION 5 of 5
QUESTION 11 OF 11
5
6
7
8
9 10
11
>
Write a division problem that has a quotient of 9/10
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 9/10.
UPLOAD
WRITER

Answers

Answer:

I help you if you help me with this |a+5| if a<-5

Step-by-step explanation:

find the measure of angles​

Answers

Answer:

∠1 & ∠3 = 68°

∠2 & ∠4 = 112°

Step-by-step explanation:

180 degrees is the total sum of the angles in a triangle.

180 - 68 = 112

i dont know plz help :(

Answers

Answer:

45%

Step-by-step explanation:

27/60 = x/100

Solve for x

x = 45

Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.


*I will give you 48 POINTS AND BRAIN-LEST*

Answers

Volume of the box is 64 cm³
We have to find the area of one face of the box.
Let one side of the box is x
Then volume = x³ = 64
x³ = 4³
x = 4
Now area of one face of the cube = x²
then area = 4² = 16 cm² so the answer is 16 cm2

Please help a picture of the problem is attached plz no trolls

Answers

3r+1w=5
5r+1w=80

System of equations :)

PLEASE HELP ASAP
The data set gives heights, in inches, of a group of students.

71 60 72 70 60 63 64 68 59

Create a stem display for this data.

Answers

Answer:

5 | 9

6 | 0 0 3 4 8

7 | 0 1 2

Step-by-step explanation:

The stems (to the left of the vertical line) are the first digits of the data, the leaves (to the right of the line) are the second digits)

7 | 0 1 2  represents the data 70, 71, 72

The time it takes Jamal to make pancakes is based on
the number of pancakes he makes. The time in minutes
can be found using the function 3p + 15 where p
represents the number of pancakes he makes. If Jamal spent 141 minutes making pancakes this morning, then how many pancakes did he make?

Answers

The answer is 3p+15 because I looked it up

-
A summer camp has 492 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably
hold 12 passengers. Then calculate the actual number of vans that will be needed.

Answers

Answer: 41 vans will be needed.

Step-by-step explanation:

There are a total of 492 campers. We know that each van can hold a total of 12 passengers.

So, simply divide 492 by 12 to get the total amount of vans needed.

492/12 = 41 vans.

a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents.b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion

Answers

Answer:

The corresponding p - value will be  is < 0.00001 which is less than 0.05

Step-by-step explanation:

Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014

For the probability that the survey will provide a sample proportion within 6.03 of the population proportion

we will find the z statistic

z= p^-p/√p(1-p)/n

But √p(1-p)/n= 0.014 and p^-p= 6.03

Putting the values

z= 6.03/0.014= 430.71

The corresponding p - value will be  is < 0.00001 which is less than 0.05

What are the coordinates of the image of AABC after a dilation with center (0, 0) and a scale factor of ? Drag numbers to complete the coordinates, Numbers may be used once, more than once, or not at all. у 16 12 00 B 4 a с A 0 0 4 4 8 12 16 1 N 3 4 5 6 Ad 1. B'd С (1 )​

Answers

Answer:

munbers may be used once Or more than once

A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?

Answers

So it’s 43 times 11 which is 473

Answer: Hello: ) ✨473 miles

Step-by-step explanation:

43 mph for 11 hours = 43×11 = 473

if you roll a dice what is the probability of getting a 2 or 6

Answers

Answer:2/number of sides

Step-by-step explanation:

those are 2 possibilities out of number of sides so -

2/number  of sides

2/6 (1/6 + 1/6) simplify to 1/3 so %33.3(repeating)

A rectangular garden that is 167 feet wide and 11 feet long will be covered with
soil. If a bag of soil covers an area of 20 square feet, which of the following is closest
to the number of bags of soil needed to cover the garden?

Answers

Answer:

the answer is 92 bags.

167x11=1837

1837÷20=91.85....or 92 bags

PLEASE HELP! PLEASE HELP! PLEASE HELP! QUICK

Answers

Answer:

for A plug in those numbers on the right and on the left start with 1 and move up(for example 1,2,3,4,5...)

For b  the answer is 2.5x²−4.5x+1.

Step-by-step explanation:

Please help. Will mark brainliest if correct. ( links will be banned)

Answers

Answer:

answer 2

Step-by-step explanation:

I have no clue guess you'll just have to trust me

Answer:

x<4.5

Step-by-step explanation:

Simplify both sides.

2x-6<3

add 6 on both sides.

2x<9

divide both sides by 2

x<4.5

OBTAINING ONE HEAD ONLY WHEN A DIE IS
ROLLED AND 2 COINS ARE TOSSED.
Probability

Answers

Answer:

Step-by-step explanation:

n(s) 1 die & 2 coins = 6×4 = 24

n (event) 1 head = 6 (by die) +2( by coins)

= 8

so, probability P = 8/24 = ⅓

If A is a 2x2 matrix and B is a 2x1 matrix, what is the dimension of AB?

Answers

Answer:

2x2 matrix

Step-by-step explanation:

Given

Dimension of matrices A = 2x2 matrix

Dimension of matrices B = 2x1 matrix

The dimension of matrix AB can be gotten by cancelling the row of matrices 1 and column of matrices 2.

After cancelling both row and column, the remaining dimension will be 2x2 matrix. Hence the dimension of AB is 2x2 matrix

Four classmates collect data by conducting a poll. They ask students chosen at random how many states they have visited . Gabriel interviews 72 students. Morgan interviews 36 students. . Elle interviews 12 students. • Connor interviews 41 students, Whose results are probably the most trustworthy? O A. Morgan's B. Gabriel's C. Elle's D. Connor's​

Answers

A Morgan because he has interviewed the most amount of students and collected the most amount of data

Answer:

B: Gabriel's

Step-by-step explanation:

calculeaza diferenta nr 824532 si 698845 apoi dubleaza rezultatul.
Cat trebuie adaugat noului rezultat pt a se obtine triplul nr 315078?

Answers

Răspuns:

693860

Explicație pas cu pas:

Diferența dintre: 824532 și 698845

824532 - 698845 = 125687

Dublând rezultatul, r:

2 * 125687 = 251374

Pentru a obține: 3 * 315078 = 945234

Numărul care trebuie adăugat la r, în altul pentru a obține 945234 este:

945234 - 251374 = 693860

Prin urmare, 693860 trebuie adăugat la 251374 pentru a obține (3 * 315078)

Please help what does A equal

Answers

Answer:

26°

Step-by-step explanation:

∠a and the 154° angle are both supplementary, so their sum is equal to 180°.

[tex]a+154=180[/tex]

[tex]a=26[/tex]

So, m∠a=26°.

Answer:

If i'm not wrong it should be 26

Step-by-step explanation:

I'm so sorry if I am wrong.

i need help lololololololololololololololol

Answers

Answer:

First Blank: 4*2 = 8

Second Blank: 6*2 = 12

Step-by-step explanation:

The common ratio for the right row is the number thats given on the opposite side of it's left row times 2

Hope this helps!

Answer:

I have no clue my guess tbh 4 to 8 and 6 to 12

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