A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?

Answers

Answer 1

Answer: 0.04

Step-by-step explanation:

Number of trips (n) = 40

Red = 30 seconds, Green = 30 seconds

P(red) = p(green) = 30/ (30+30) = 0.5

P(not red) = p(not green) = 1 - 0.5 = 0.5

P(x) = nCx * p^x * (1-p)^(n-x)

n = number of trials

x = number of outcome desired

P = probability of success of desired outcome

P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)

Hence, to save computation time, we use the binomial distribution probability calculator :

P(X > 25) = 0.04


Related Questions

please helppp The correct equation is S=2r+7 verify this equation matches your table for r=1 r=2 and r=3

Answers

Answer:

Step-by-step explanation:

Part (A).

Row                Number of seats

1                                 9

2                                11

3                                13

4                                15

5                                17

6                                19

7                                21

(B). Jonathan models the equation for the pattern of number of seats as,

S = 7r + 2

Where S = number of seats in every row 'r'

For r = 1,

S = 7(1) + 2 = 9

Models for row 1.

For r = 2,

S = 7(2) + 2 = 16

Not correct.

For r = 3,

S = 7(3) + 2 = 23

Not correct.

Therefore, this equation doesn't work for the rows above the first row.

(C). Correct equation is,

S = 2r +7

For r = 1,

S = 9

For r = 2,

S = 4 + 7 = 11

For r = 3,

S = 6 + 7 = 13

Therefore, this equation works for all the rows.

(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)

(E). 91 = 2r + 7

     2r = 91 - 7

     2r = 84

       r = 42

Therefore, in 42nd row number of seats = 91


Write an expression that is equivalent to 5(x + 2) - 7(x + 2)?

Answers

Answer:

-2x-4

Step-by-step explanation:

Just simplify

5x +10-7x-14
-2+10-14
-2x-4

y-3x=13 for y. Can someone plz help i don’t know what this is and please explain the steps well

Answers

Answer:

3x-y=-13

Step-by-step explanation:

y-3x=13

Use the commutative property to reorder the terms

-3x+y=13

Change the signs on both sides of the equation

3x-y=-13

What is -5(-3r-3)=75

Answers

Answer:

r = 4

Step-by-step explanation:

-5(-3r - 3) = 75

Divide both sides by -5.

-3r - 3 = -15

Add 3 to both sides.

-3r = -12

Divide both sides by -3.

r = 4

-5(-3r-3)=75 is equal to 4

two more than4 times a number is -18

Answers

-5, work backwards. you know 2 + 4 * ? = -18.
start by subtracting 2 from both sides giving you 4 * ? = -20.
now you divide 4 from both sides giving you ? = -5

i used ? to represent the missing number btw!!

Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after consumption of 30 mL of ethanol (corresponding to two alcoholic drinks). (Round your answers to two decimal places.) t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL) 0.35 0.26 0.2 0.14 0.09 (a) Find the average change of C with respect to t over each time interval. (i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data below:

Time, t (hours)__1.0__1.5__2.0__2.5__3.0

C(t) (mg/mL)__0.35_0.26_0.20_0.14_0.09

Average change of C with respect to t over the interval :

(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]

Average change = ( change in C / change in t) = C2 - C1 / t2 - t1

1) [1.0, 2.0]

C at t = 1 = 0.35 ; C at t = 2 = 0.20

(0.20 - 0.35) / (2 - 1) = - 0.15 / 1 = - 0.15 mg/mL hr

11) [1.5, 2.0]

(0.20 - 0.26) / (2.0 - 1.5) = - 0.06 / 0.5 = - 0.12 mg/mL hr

111) [2.0, 2.5]

(0.14 - 0.20) / (2.5 - 2.0) = - 0.06 / 0.5 = - 0.12mg/mL hr

iv) [2.0, 3.0]

(0.09 - 0.20) / (3.0 - 2.0) = - 0.11 / 1.0 = - 0.11 mg/mL hr

Simplify: (5x2 - 3x - 4)(3x - 7) A. 15x3 - 44x2 + 9x - 28 B. 15x3 - 44x2 + 9x + 28 C. 15x3 + 26x2 - 33x - 28 D. 15x3 - 26x2 - 33x + 28

Answers

Answer:

A. 15x^3 -44x^2 +9x +28

Step-by-step explanation:

(5x^2 -3x -4)(3x - 7)

first, distribute by multiplying the terms in each parenthesis with each other:

(5x^2 * 3x) - (3x * 3x) - (4 * 3x) - (5x^2 * 7) + (3x * 7) + (4 * 7)

simplify:

15x^3 -35x^2 -9x^2 +21x -12x +28

Now combine like terms:

15x^3 -44x^2 +9x +28

The diagram shows the preimage ABCD and five reflected images. Match each reflection of ABCD with its Image after
the transformation. Drag the items on the left to the correct location on the right.

Answers

Answer:

there is the answer good luck

Solve for j.
-12 + 6j = 7j

Answers

Answer:

[tex]\large\boxed{j = -12}[/tex]

Step-by-step explanation:

-12 + 6j = 7j

Subtract 6j from both sides of the equation

[tex]\large\boxed{j = -12}[/tex]

This kind of equation can usually be solved by moving the numbers to the opposite side of the equation as the variables.

Hope this helps :)

100 POINTS HELP / Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.

Answers

Answer:

slope is zero

Step-by-step explanation:

it is a horizontal line which means the slope all points that lie on the line have a -coordinate

[tex]\huge\boxed{No\;slope}[/tex]

There is no rise over run therefore, there is no slope.

You have to have rise over run to be able to have a slope.

Product and Quotient Functions

Answers

Answer:

srry don't know....

followme and mark me brainliest

Find the number that should be added to the expression to make it a perfect square. k^2-5k

Answers

(K-5/2)^2-25/4 is your answer

Answer:

25/4

Step-by-step explanation:

Which of the following is not a rate?

Answers

Answer:

there are no options

Step-by-step explanation:

there's no image attached

yeah

Step-by-step explanation:

A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formulas to determine the perimeter of the ballroom. a. P=2+60+2+30 b. P=60x30 c. P= 30x 30 + 60 x60 d. P= 2 x 60 + 2x 30

Answers

Answer:

The answer is D: 2 x 60 + 2 x 30

Step-by-step explanation:

The perimeter is the lengths of all the sides of a shape combined.  Therefore, 60 is one side and 30 is the other side.  Since the opposite sides are equal, there are two sides that equal 60 and two sides that equal 30.  

So, 60 + 60 + 30 + 30.  

60 + 60 = 60 x 2

30 + 30 = 30 x 2

Therefore, the answer is 60 x 2 + 30 x 2.  

simplify. enter the answer in the box.

Answers

Answer:

0.005859375

Step-by-step explanation:

A portrait without its frame has a height 1.5 times its width w, in inches. The width of the frame is 4 inches on all sides. What is the area of the frame

Answers

Answer:

Step-by-step explanation: Multiply 4 x 4 or add each side together.

4 x 4 = 16 x 1.5 = 24

The area is 24

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40. After one month, Paul bought 21 passes and spent a total of $38.40. How much did he spend on the student discount card? Paul spent $ on the student discount card.

Answers

1.40 x 21 passes = 29.40 for passes.

38.40 - 29.40 = 9.00

He spent $9.00 on the card

The sum of three consecutive integers is -216. List the numbers from smallest to largest:
Check Answer

Answers

Answer:

Step-by-step explanation:

One

Answer:

-73,-74 and -75

Step-by-step explanation:

1st No=x

2nd No=x+1

3rd No=x+2

x+(x+1)+(x+2)=-216

x+x+x+2+1=-216

3x+3=-216

3x=-216-3

3x=-219 (÷ b.s by 3)

x=-73

1st No=-73

2nd No=-73+1

3rd No=-73+2

Evaluate 3|−5| − 2|−2|

Answers

Answer:118

Step-by-step explanation:

3!-5!-2!-2! =? IF ! MEANS FACTORIAL, 3! MEANS 3X2X1=6,

-5! MEANS -5X4X3X2X1=-120

-2!= -2X1=-2

-2!=-2X1=-2

PROBLEM BECOMES 6--120-2-2=118

Let p: It is the year 2020.
q: Montclair University montclair is located in Kansas.
Is ~ PV ~ q true or false?
O True
O False

Answers

The answer is would be true

I think it's TRUE so yeah.

Complete the table for the equation 2x-5y=10

Answers

X. Y.

-2 -14/5

-1. -12/5

0. -2

1. -8/5

2. -6/5

rashida had 18 correct answers and 12 incorrect anwesrs what was rashida score

Answers

Answer:

rashid score = 18/(18+120=18/30

Step-by-step explanation:

4) Find the total cost of a $0.95 pen with a 60% markup.

Answers

$1.52 is the total cost. Good luck and have an amazing day!

(5.23x + 3.76) − (3.67x − 6.39)

Answers

Answer:

(5.23x + 3.76) - (3.67x - 6.39)

K C C

(5.23x + 3.76) + (-3.67x + 6.39)

1.56x + 10.15

Step-by-step explanation:

need answer asap pleasee

Answers

The answer should be (1,5)
The answer might be (1,5)

Suppose you've just deposited $ 2,004 in a bank account which earns an annual rate of return of 12%. How much will you have in the bank account after 5 years

Answers

Answer:

you will get back 167$

Step-by-step explanation:

x +2y = 5
5x -y = 3
I need help with my homework please anyone

Answers

Answer:

Step-by-step explanation:

What is the expanded form of 648,870,030,096.994

Answers

600,000,000,000+40,000,000,000+8,000,000,000+800,000,000+70,000,000+30,000+90+6+.9+.09+.004

Wha t is the surface area of the square pyramid represented by the net below

Question
112
48
64
96

Answers

Answer:64

Step-by-step explanation:multiply the two numbers

An air conditioning system can circulate 400 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?

Answers

Answer:

14.814 i belive

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