A particularly long traffic light on your morning commute is green 17% of the time that you approach it. Assume that each morning represents an independent trial. Over 20 mornings, what is the probability that the light is green on exactly 4 day

Answers

Answer 1

Answer:

Step-by-step explanation:

Assuming that we are only trying to calculate the probability of the light being green ONLY on day 4 then it would be the exact same probability as every other day, which would be 17%. Now if we are trying to calculate the probability of the light being green on the first consecutive 4 days then we would need to multiply this probability (in decimal form) four times for the four days like so...

0.17 * 0.17 * 0.17 * 0.17 = x

0.00083521 = x   ... times by 100 to get percentage

0.00083521 * 100 = 0.0835%

So the probability of the light being green 4 days in a row during your commute is 0.0835%


Related Questions

Find the directional derivative of the function f(x,y)=2cos(y)exf(x,y)=2cos⁡(y)ex at the point (0,π6)(0,π6) in the direction of the vector v=⟨−8,6⟩v=⟨−8,6⟩.

Answers

Answer:

[tex]D_u f(0,\pi/6)=\frac{4\sqrt{3}-3}{5}[/tex]

Step-by-step explanation:

We are given that

[tex]f(x,y)=2cos(y)e^{x}[/tex]

Point=([tex]0,\pi/6[/tex])

Vector v=<-8,6>

We have to find the directional derivative of the function.

[tex]f_x(x,y)=2cos(y)e^{x}[/tex]

[tex]f_x(0,\pi/6)=\sqrt{3}[/tex]

[tex]f_y(x,y)=-2sin(y)e^{x}[/tex]

[tex]f_y(0,\pi/6)=-1[/tex]

[tex]|v|=\sqrt{(-8)^2+6^2}=\sqrt{100}=10[/tex]

[tex]\hat{u}=\frac{v}{|v|}=\frac{-8i+6j}{10}=\frac{1}{10}(-8i+6j)[/tex]

[tex]\nabla f(0,\pi/6)=<f_x(0,\pi/6),f_y(0,\pi/6)>=<\sqrt{3},-1>[/tex]

Now, the directional derivative in the direction of v at point (0,[tex]\pi/6[/tex]) is given by

[tex]D_u f(0,\pi/6)=\nabla f(0,\pi/6)\cdot \hat{u}[/tex]

By using the formula

[tex]D_u f(x,y)=\nabla f(x,y)\cdot \hat{u}[/tex]

[tex]D_u f(0,\pi/6)=<\sqrt{3},-1>\cdot <-\frac{8}{10},\frac{6}{10}>[/tex]

[tex]D_u f(0,\pi/6)=-\frac{4\sqrt{3}}{5}-\frac{3}{5}=-\frac{1}{5}(4\sqrt{3}+3)[/tex]

WHEN A MAN LOVES A WOMAN...........​

Answers

Answer:

When a man loves a woman he becomes a SIMP

Step-by-step explanation:

Answer:

they get real deep in there

Step-by-step explanation:

I had the talk when I was 7

plz help tytytt very muchhhh:)))​

Answers

Step-by-step explanation:

I believe it's 4 have a great day!

Answer:

The answer is 2.

Step-by-step explanation:

If you subtract 1 from both sides you get 14, and that leaves you with 2x>14, which if u divide 14/2x you get x=7.

The data in which table represents a linear function that has a slope of zero? X -5 -4 -3 -2 -1 у 5 5 5 5 5 w х 1 2 3 4 5 y -5 -4 -3 -2 -1 X -5 -4 -3 -2 y 5 4 3 2​

Answers

Answer: the answer is choice b

Step-by-step explanation:

The data in the first table represents a linear function that has a slope of zero

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Slope (m) = change in y / change in x

From the first table, using the point (-5, 5) and (-1, 5), hence:

Slope = (5 - 5)/(-1 - (-5)) = 0

The data in the first table represents a linear function that has a slope of zero

Find out more on Linear equation at: https://brainly.com/question/14323743

Find the solution to the system of equations.
You can use the interactive graph below to find the solution.

Y =-5x + 6
Y = 3x -2

X= ___
Y= ___

(Please be descriptive, and if possible graph both lines on a website and send a picture)

Answers

Answer:

5x6=y=−5

2x3=y=23

Step-by-step explanation:

i hope i helped im not very good at this stuff but i hope i helped-Sgee4

Evaluate the expression when w=-
=-14, x=-10.7, and y=1.2
w-x+y
Х
?
A

Answers

The answer is +11.9. Double neg = pod.

Answer:

- 2.1

Step-by-step explanation:

Given

w - x + y ← substitute given values

= - 14 - (- 10.7) + 1.2

= - 14 + 10.7 + 1.2

= - 2.1

The price of apples can be determined by the equation P=0.17n, where P is the price and n is the number of apples. What is the constant of proportionality (unit rate)?

Answers

Answer:

.17 is the constant of proportionality (unit rate).

How many terms are in the algebraic expression 3x? + 4y - 12
O
A. 4.
B. 2
D
C. 5
D. 3

Answers

there are 2 terms in the algebraic expression

35 points! Find the slope between the two points:

(2, 5) and (-2, 5)

Answers

Answer:

The slope is 0, since it is a horizontal line

35 points omgggggggggggggggggg

A daycare employee earns $10.90 per hour for the first 40 hours he works in 1 week. He is paid 1.5 times that rate for each additional hour that he works. How much money does he earn working for 43 hours in 1 week? (Help i need conformation on how to do this i tried but its too confusing help pls)

Answers

He earns 485.05 if he works 43 hours

x^2 + y^2 = 4

determine whether or not the equation represents y as a function of x...please help me

Answers

No because I'm pretty sure that equation creates a circle which doesn't pass the vertical or horizontal line test

How can you find the reciprocal of 0.8? Select all that apply.
A. Solve the equation 0.8x = 1.
B. Solve the equation 0.8 + x = 1.
C. Divide 1 by 0.8.

Answers

Answer:

C

Step-by-step explanation:

Because in the end, 0.8 is decimal that can be converted to a fraction which can then be flipped. 4/5 = 0.8. So the reciprocal would be 5/4 or 1.25.

1 / 0.8 = 1.25

Answer:

C

Step-by-step explanation:

0.8 is decimal that can be converted to a fraction which can then be flipped

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.

Answers

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

f(x) = 1/5-0 = 1/5 = 0.2, 0<x<5

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

Hence,  the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

PLZ MARK BRAINiLEST :DD

Which of the following lists is ordered from least to greatest?

A. -4 1/2 , -1.6, -1, , 3.2
B. -4 1/2 , -1, -1.6, , 3.2
C. -4 1/2, -1, -1.6, 3.2, 3/4
D. -1, -1.6, -4 1/2 , 3/4 , 3.2

Answers

Answer:

the answer is a

Step-by-step explanation:

-4 1/2 is the least number, then negative 1.6, then negative 1, then a positive 3.2

A. -4 1/2, -1.6, -1, 3.2

which number is ten times more than 0.006

Answers

Answer:

0.06

Step-by-step explanation:

0.006 x 10

When multiplying by 10, 100, 1000, 10000, etc, you move the decimal place to the right as many times as there are zeros in what you are multiplying it by. Because there is one zero in ten, we move the decimal place one to the right.

0.06

I hope that this helps! :)

Find the area of a rectangle it the length
is
3x^2 and the width is 6x^3

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]area = (length) \times (width)[/tex]

[tex]area = 3 {x}^{2} \times 6 {x}^{3} [/tex]

[tex]area = 18 \times {x}^{2 + 3} [/tex]

[tex]area = 18 {x}^{5} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

PLEASE HELP QUICK Which of these mappings is a function

Answers

Answer:

z

Step-by-step explanation:

bcause that what it is

It’s X.

The domain(x) can ONLY have 1 output (y).

One number is selected from the set {1, 2, 3, 4, 5, 6, 7, 8, 9}. Find the probability the selected number is less than 7, given that it is less than 8.

Give your answer as a decimal rounded to 4 decimal places.

Answers

Answer:   0.8571

====================================================

Explanation:

We're told that "given that it is less than 8", so we only focus on these values {1,2,3,4,5,6,7}. There are B = 7 items in this set.

Of those, the set {1,2,3,4,5,6} are less than 7. There are A = 6 items in this set.

The probability we're after is A/B = 6/7 = 0.8571

Answer:

I just got this question in my book, and i already solved it. so just saying that i now the answer, it is 0.8571

11/8=k/4 what’s k?!!

Answers

11/2

Step-by-step explanation:

A pound has 60 German Shepherds and 40 Great Danes of both sexes. If they breed with each other randomly, what is the probability that the puppies are: (i) pure breed German Shepherds, (ii) pure breed Great Danes, (iii) German Shepherd-Great Danes

Answers

Answer:

(i) pure breed German Shepherds,= 0.6

(ii) pure breed Great Danes,= 0.4

(iii) German Shepherd-Great Danes= 0.24

Step-by-step explanation:

The probability of success for the German shepherd is 60/100 0r 6/10 0r 0.6

The probability of failure for the German shepherd is 40/100 0r 4/10 0r 0.4

The probability of success for the Great Danes is 40/100 0r 4/10 0r 0.4

The probability of failure for the Great Danes is  60/100 0r 6/10 0r 0.6

The probability that it is a pure German shepherd is 60/100 0r 6/10 0r 0.6

The probability that it is a pure the Great Danes is 40/100 0r 4/10 0r 0.4

The probability that the puppies are: German Shepherd-Great Danes is given by  since the events are independent

P (GS ∩ GD) = 0.6* 0.4= 0.24

Write is 8.517 in expanded form

Answers

Answer: (8 x 1) + (5/10) + (1/100) + (7/1000)

Step-by-step explanation: Have a blessed day hopefully this helped!

Answer:

8 tens, 5 tenths, 1 hundredth, 7 thousandths

Step-by-step explanation:

Hope I helped give brainliest if right :D

HELP WILL GIVE BRANLIEST! Please give an explanation

Answers

It’s the fourth one all the fractions on 4 are equal to -2/3

1/2 times blank plus two equals zero. what goes into the blank?

0 =1/2 x ___ +2

Answers

Answer:

-4

Step-by-step explanation:

Because 1/2 times -4 equals -2

then -2+2=0

f (x) = 5x - 1, find f (4) - show work

Answers

Answer:

f(4) = 19

Step-by-step explanation:

Plug in 4 for x in the given equation:

f(x) = 5x - 1

f(4) = 5(4) - 1

Simplify. Remember to follow the order of operations, PEMDAS. First multiply, then subtract:

f(4) = (5 * 4) - 1

f(4) = 20 - 1

f(4) = 19

f(4) = 19 is your answer.

~

F(4)=19 is the answer

F(x)=5-1
F(4)=5(4)-1

Study the Venn diagram.
A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Which statement is correct?
–5 cannot be written as a fraction, so it is not rational.
–5 is a rational number, but not an integer.
–5 is a counting number, so it is also a whole number.
–5 is an integer, but not a whole number.

Answers

FOR EDGE 2020 PEOPLE!!

5 is an integer, but not a whole number.

A Venn diagram is a widely sued diagram and shows a logical relationships within the sets.

As per the Venn diagram the large box is labeled by a rational number. The numbers are integers and the box and them are labeled by the while numbers. Hence 5 number is an integer, but not the whole number. Thus option D is correct.

Learn more about the Study the Venn diagram.

brainly.com/question/18759335

Which of the following is a true statement about proportional?
A. The graph of a proportional relationship is only a straight line.
B. The graph of a proportional relationship includes the origin.
C. Neither

Answers

Answer:

A

Step-by-step explanation:

TAMa dahil kung wala ang graph of a relationship ano pa ba?

The cost of a monthly cell phone plan, in dollars, is modeled by the function C(x)= 0.6x + 30, where x is the number of text messages. What does the slope of this line represent?

this has been confusing me for a bit and the assignment is due tonight

Answers

The slope of this line is 0.6, and this represents the cost per text message sent. For example, if you send 1 text message, you’ll pay a total of $30.60.

Hope this helps!!

Which number line can be used to find the distance between (-1,2) and (-5,2)

Answers

Answer:

The number line is y = 2.

Step-by-step explanation:

We are given the points (-1,2) , (-5,2) and we have to find the number line that can be used find the distance between them.

The y coordinate of the two points is

same (equal to 2) , so the number line that can be used to find the distance between them is y = 2.

Distance between the points = |-5+1| = 4

Find the area of the figure shown below and choose the appropriate result.
4 cm
2 cm
5 cm
6 cm
A 34 cm2
B 44 cm
54 cm
D 46 cm

Answers

Answer:

the answer is D 46 cm

Step-by-step explanation:

first you need to find the missing side measurements cutting in two separate figures. if one side is 2 you know the other side is also 2 same with the 4 if the top is 4 the bottom is 4 too so now you have the measurements for the first figure now you finder the area applying the formula

A=bxh

A= 4*2=8

second figure you know that one part of the rectangle top is 5 and if you add the 4 of the first figure give you the measurement of the top

5+4=9 so if the top is 9 the bottom is also 9

finally to find the other side you know the side is 6 and since you know one part of the first figure is 2 you need to subtract 6-2=4

A=bxh

A=9*4=28

once you have both you can add it 28+8=46

The answer is D I passed 5th grade!

I need help I know its not b or c. Will mark brainliest to correct person

Answers

Answer:

Its A

Step-by-step explanation:

Soure: Trust me bro

Answer:

D

Step-by-step explanation:

line (7,-3)  yes

slope-2  yes

can be rewritten as y=-2x+ 11yes

line (-7, 3) NO

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