You are running late for work. There are 4 traffic signals on your way to work, and if you make all of them,

you will be on time. If you have a 60% chance of making each one, independent of whether or not you made

the previous one, what is the probability that you will make it to work on time?


A. 81/625


B. 64/340


C. 32/125


D. 68/421


E. 25/525

Answers

Answer 1

Answer: A. 81/625

Step-by-step explanation:

From the question, we are informed that there are 4 traffic signals on ones way to work, and there's a 60% chance of making each one, independent of whether or not the previous one is made.

The probability that one will make it to work on time will be to multiply 60% for the 4 period. This will be:

= 60% × 60% × 60% × 60%

= 60/100 × 60/100 × 60/100 × 60/100

= 3/5 × 3/5 × 3/5 × 3/5

= 81/625


Related Questions

Factor the quadratic expression completely. 6x^2−13x+6

Answers

Answer:

(2x - 3)(3x - 2)

Step-by-step explanation:

(2x - 3)(3x - 2) = 6x^2 - 9x - 4x + 6 = 6x^2 - 13x + 6

thank, 5 star, and brainliest if helpful!

A D = D B and A F = F C. D F = 14 and D E = 10. B C = [?]​

Answers

Answer:25 i’m confused

Step-by-step explanation:

The measure of the side BC of the triangle is BC = 28

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as A B C

Let the second triangle be represented as D E F

Now , the measure of side A D = measure of side D B

And , the measure of side A F = measure of side F C

The measure of side D F = 14

The measure of side D E = 10

The triangles ABC and DEF are similar triangles

From the Triangle segment theorem ,

D F = B C / 2

Substituting the values in the equation , we get

14 = B C / 2

Multiply by 2 on both sides of the equation , we get

The measure of side BC of triangle = 28

Hence , the measure of side B C is 28

To learn more about similar triangles click :

https://brainly.com/question/29378183

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What is the missing length?

Answers

Answer:

80

Step-by-step explanation:

89^2-39^2=6400, 6400=80^2

yea and why for solving my question it really helped :D Click on my text there is a picture

Answers

Answer:

A (1, 3)

Step-by-step explanation:

The point where the two lines intersect is the only solution

That is (1, 3) is the solution of system of equations shown in graph

There are 31 fish in a tank. The fish are either orange or red. There are 7 more orange fish than the number of red fish. How many fish are orange? How many fish are red?

Answers

Answer:

There are 12 red fish, 19 orange fish

Step-by-step explanation:

Let y rep amount of red fish

y + 7 = Amount of orange fish

y + y + 7 = 31

2y = 31 - 7

2y = 24

y = 12

Then

y + 7

12 + 7 = 19

pleaseee help fast !!!

Answers

Answer:

function 2

function 1

function 3

Step-by-step explanation:

function 1 has a slope of -2, function two has a slope of -8/3 or approximately -2.6 function three has a slope of -11/6 or approximately -1.8

(x + y = 10
(x + y = 12

Answers

Answer:

{x,y} = {11,1}

Step-by-step explanation:

How many pint are in 28 cups

Answers

Answer:

14 pints are  in 28 cups

Step-by-step explanation:

Answer:

14 pints in 28 cup

Step-by-step explanation:

Given the figure below, calculate its perimeter.

Answers

Answer:

24.58

Step-by-step explanation:

In the big triangle, you see two little triangle

one of the little triangle is a 45-45-90 triangle (the number represent the angle measures of the triangle)

this means that the legs are the triangle can be considered one, and the hypotenuse can be considered [tex]\sqrt{2}[/tex]

so in any 45-45-90 triangle, if you have a leg that is 4, then you know the other leg is also 4, and the hypotenuse would be 4 times [tex]\sqrt{2}[/tex] (aka 5.65)

the other triangle is a 30-60-90 triangle (the number represent the angle measures of the triangle)

this means that the smallest leg of the triangle can be considered one, and the other leg (the bigger one) can be considered 2, and the hypotenuse can be considered [tex]\sqrt{3}[/tex]

so the smallest leg here is 4, this means that the other leg would be 2 times 4 (aka 8)

and the hypotenuse would be 4 times [tex]\sqrt{3}[/tex] (aka 6.93)

so the sides that count to the perimeter of the given triangle would be 4, 5.65, 8, and 6.93

add those up and you get: 24.58

PLZZZZZZZZZZZZZ HELP IM TIMED!!!!!!!!!!!!!!

which scatter plot is incorrect and what is wrong with it

ill give 50 points

Answers

What scatter plot? I don’t see anything to help you.

Answer:

is there any more information

She took the escalators up to the gym. This is an example of ... verbal irony situational irony dramatic irony ​

Answers

Answer:

situational irony

its in a situation

The line has been partitioned into three angles. Is there a triangle with these three angle measures?​

Answers

La curva de 120 grados

Aubrey invested $7,100 in an account paying an interest rate of 5.6% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 19 years?

Answers

The amount of money in Aubrey's account after 19 years will be $20,424.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Aubrey invested $7,100 in an account paying an interest rate of 5.6% compounded quarterly.

Assuming no deposits or withdrawals are made.

Then the amount of money in Aubrey's account after 19 years will be

P = $ 7100

r = 0.056/4 = 0.014

n = 4 x 19 = 76

Then we have

A = 7100 (1.014)⁷⁶

A = $ 20,424

More about the compound interest link is given below.

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Surveys get more accurate with larger sample sizes. You want an accurate survey, but your cost per respondent is $3
and your budget is $1,000. How many respondents can you survey?
ОООО
a) 333
b) 353
c) 533
d) 575

Answers

Well 1000 divided by three would be 333 max amount but u will have 1 dollar left over

Find the area of this semi-circle with diameter, d = 58cm.
Give your answer rounded to 2 DP.

Answers

Answer:

The area of the semi-circle

                                  A = 1320.37 cm²

Step-by-step explanation:

Explanation:-

Given the diameter of the circle 'd' = 58cm

The radius of the circle 'd' = 2r

                                       [tex]r = \frac{d}{2} = \frac{58}{2} = 29[/tex]

The area of the semi-circle

                           [tex]A = \frac{1}{2} \pi r^{2}[/tex]

                           [tex]A = \frac{1}{2} (3.14) ((29))^{2}[/tex]

                          A = 1320.37 cm²

I NEED HELP ASAP!!!!!
Jasmine wants to save $174 for a trip to an amusement park. She sets aside $12 of her allowance at the end of each week. How many weeks will it take her to save enough money for the whole trip?

Answers

hopefully this can help

Answer:

15 weeks

Step-by-step explanation:

You divide $174 to $12 to get the number of weeks:

174/12 = 14.5

Because we are talking about how many weeks, we round this number to 15. Hope this works :)

Consider an experiment where a person flips a coin and records the result over multiple trials. The theoretical probability and the experimental probability and the experimental probability are compared at certain times during the experiment. during which trials can we guarantee that the experimental and theoretical probabilities will not be equal?

Answers

Answer:

It would be at the beginning of the trials

Step-by-step explanation:

Help and explain why

Answers

Answer:

Step-by-step explanation:

1/2 + 3/8 =

4/8 + 3/8=

7/8

if 1/2 is = 4/8,

7/8 > 4/8

I NEED HELP ASAP!!! please show work

Answers

what’s ur problem???????

when you add 18 to 1/4 of a number, you get the number itself

Answers

False. Let's say you add 18 to 1/4 of 1. That would result in 18.25.

Answer:

1/4*24+18=24

Step-by-step explanation:

1/4x+18=x

1/4x-x=-18

-3/4x=-18

x=-18/(-3/4)

x=-18*-4/3

x=24

--------------

1/4*24+18=24

The table shows the blood type of 75 donors after a one-day blood drive. Based on the result what is the chance that a random donor has a type A blood

Answers

Answer:

The answer will be A

Step-by-step explanation:

So 33 I hope this helps!

Answer:

11/25

Step-by-step explanation:

I-ready 2022


The graph of y = |x| is scaled vertically by a factor of
7/2
What is the equation of the new graph?
Choose 1 answer:
y= -2/7|x|
y= -7/2|x|
y=2/7|x|
y=7/2|x|

Answers

Answer:

y=7/2|x|

Step-by-step explanation:

plssss help this is due in 10 min

Answers

This is going to be a reduction because there are phases of the sizes of this shape which is the trapezoid, the shapes here are shown as large and small. The amount of the shapes are going through the process of creating minimum of shapes within this problem.

Lo siento, solo voy a despotricar en español. Estoy tan cansado y realmente no quiero hacer nada, y todavía tengo Zooms para hacerlo, si alguien quiere hablar, estoy aquí :(

Answers

Answer:

hola yo estoy aqui contigo

Nesesito de su alluda para aclarar esto porfa En una familia son 3 hermana desidieron c0ntratar internet por 9 meses cada mes se les cobra 300 pesos dos de ellas pagaron cuatro meses cada una pago 1200 y la otra pago solo un mes que son 300 pesos si ban por partes iguales entonses cuanto lestoca pagar alas tres y cuando se le renvolsara a ados de ellas que pagaron 1200 cada una

Answers

Answer:

Cada hermana debe pagar $900.

A las dos hermanas que pagaron $1,200 se les reembolsarán $300.

Step-by-step explanation:

Dado que el costo mensual del servicio de internet cuesta $300 por mes, y que el mismo fue contratado por 9 meses por 3 hermanas que se comprometieron a pagarlo en partes iguales, el costo total del servicio será de $2,700 (300 x 9), y cada hermana deberá pagar $900 (2,700 / 3).

Así, si dos de las hermanas pagaron $1,200 cada una, la tercer hermana les deberá reembolsar $300 a cada una de ellas (1,200 - 300).

PLEASE HELP
which of these graphs represent a function

Answers

C is the function because every X value only has one Y value

what is (6,2) rotated at 270 .

Answers

Answer:

55

Step-by-step explanation:

bc

apples are on sale at a market for 4 lbs for $2.00. what is the price for one lb ? (unit rate)

Answers

Answer:

$0.50 per lb.

Step-by-step explanation:

$2 / 4 = $0.50

Hope this helps!

Tha price for one lb is 0.50

Factor : 21y^2 + 105y

Answers

gcf first
21y(y+5)
solutions are 0,-5

Answer:

The answer is 21y(y + 5). hope this helps

Hello guys I really need help is anyone available please and ty

Answers

To find the area of a triangle, you have to multiply the height and the base length, and divide that by two.

In this question, the height is 3 square units and the base length is 4 square units.

Therefore, to find the area, you must multiply 3 by 4, which is 12, and then divide this by 2, which is 6.

So the area of this triangle is 6 square units.
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