Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red.

Answers

Answer 1

Answer:

6 days

Step-by-step explanation:

Given

The proportion can be represented as:

[tex]p = 55\%[/tex]

And the number of days can be represented as:

[tex]n = 10[/tex]

Required

Determine the expected number of times, the light is red

To do this, we simply multiply the proportion by the number of days:

[tex]Y = n * p[/tex]

Substitute values for n and p

[tex]Y = 10 * 55\%[/tex]

Convert percentage to decimal

[tex]Y = 10 * 0.55[/tex]

[tex]Y = 5.5[/tex]

Approximate

[tex]Y = 6[/tex]

Hence, the expected number of days is 6 days


Related Questions

What is f(-4) for the function f(x) =-3x-8

Answers

Answer:

f(-4) = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 8

f(-4) is x = -4

Step 2: Evaluate

Substitute in x:                    f(-4) = -3(-4) - 8Multiply:                               f(-4) = 12 - 8Subtract:                              f(-4) = 4

Answer:

the correct answer is:

-3 × -4 -8 = 12 - 8 = 4

if angle 4 =2x+7 and. angle 8 =3x-13 find x for both equations ​

Answers

Answer:

2x +3x =7-13=4+8

Step-by-step explanation:

5x= -6= 12

You want to limit the amount of television you watch to an average of at most 2 hours a week during and eight week period. How many hours x can you watch in the eight weeks to meet your goal.

Answers

Answer:

x = 16hours

Step-by-step explanation:

Given

Total number of hours to watch the television a week is 2 hours, that is;

2hours =1 week

We are to find the number of hours to watch in eight weeks to meet the goal

x hours = 8 weeks

Divide both expressions;

2/x = 1/8

Cross multiply

1 * x = 2*8

x = 16

Hence he will use 16hours to watch the television in 8 weeks

What would the exponential growth model be for the given situation?

Answers

If you where to study this topic on yt it would be easier and answer is b

This question hard solve fast lots of points

Answers

Answer:

2<a<5

Step-by-step explanation:

If Judy uses 400 chocolate chips to make x cookies, write an expression that represents the number of chocolate chips in each cookie.

Answers

Answer:

y=[tex]\frac{400}{x}[/tex]

Step-by-step explanation:

Answer: 400/x (over x} = Y {amount on each cookie}

Step-by-step explanation:

3 rays have common vertex. All the angles, which are made by neighbor rays( I think they mean adjacent rays), can be:
a)acute
b)obtuse
c)right
d)none of it.

btw I checked answer, but I still didn't understand, so I need explanation.​

Answers

Answer:

[tex]b)\ Obtuse[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that:\\There\ are\ three\ rays.\\Lets\ mark\ them\ Ray\ OP, OQ,\ and\ OR\ with\ their\ common\ Vertex\ O.\\\\Now,\\We\ know\ that\ the\ sum\ of\ all\ angles\ around\ a\ point[or\ here\ Vertex\ O]\\ should\ be\ equal\ to\ 360.\\Here,\\\\Lets\ consider\ each\ case\ sepearately.\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ acute\ then:\\\angle POR, \angle ROQ, \angle POQ<90\\If\ we\ add\ them\ together,[/tex]

[tex]\angle POR+ \angle ROQ+ \angle POQ<90+90+90<270[/tex]

[tex]But\ here\ the\ sum\ of\ the\ angles\ are\ less\ than\ 270,\ but\ the\ sum\ should\\ instead\ be\ 360.\\Hence,\ the\ angles\ formed\ by\ the\ rays\ are\ NOT\ acute.[/tex]

[tex]Similarly,\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ right\ then:\\\angle POR, \angle ROQ, \angle POQ =90\\When\ we\ add\ them\ again:\\\angle POR+ \angle ROQ+ \angle POQ=90+90+90=270\\But\ again\ the\ sum\ here\ is\ equal\ to\ 270,\ but\ instead\ the\ sum\ had\ to\\ be\ equal\ to\ 360.\\Hence,\\The\ angles\ formed\ are\ NOT\ right.[/tex]

[tex]Lets\ consider\ the\ Last\ Case,\\If\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ\ are\ obtuse,\\\angle POR, \angle ROQ, \angle POQ>90\\When\ we\ add\ them:\\\angle POR+ \angle ROQ+ \angle POQ>(90+90+90)>270\\Here,\\The\ angles\ formed\ are\ greater\ than\ 270.\ As\ 360>270,\ the\ angles\ ARE\\ obtuse.[/tex]

f(x) = -3x^2
Find f(-2)

Answers

9514 1404 393

Answer:

  f(-2) = -12

Step-by-step explanation:

Put -2 where x is and do the arithmetic.

  [tex]f(x)=-3x^2\\\\f(-2)=-3(-2)^2=-3\cdot4=\boxed{-12}[/tex]

Expand and simplify:
4(2x + 1) + 2(2x - 1)​

Answers

Answer:

12x + 2

Step-by-step explanation:

4 ( 2x + 1 ) ⇔ 8x + 4

2 ( 2x - 1 )​ ⇔ 4x - 2

8x + 4 + 4x - 2 = 12x + 2

Figure A has a perimeter of 24 inches. Figure B has a perimeter of 36 inches and one of its side lengths is 12 inches. Find the missing corresponding side length.

Answers

Answer:

The corresponding side length is 8 inches

Step-by-step explanation:

Similar Shapes

Two shapes are similar if all of their side lengths are in the same proportion. For example, triangle 1 has sides of 3-4-5 and another similar triangle has sides of 15-20-25. Note all their lengths are proportional with a scale factor of 5.

We are given the perimeter of figure A Pa=24 inches and the perimeter of figure B Pb=36 inches. The scale factor can be obtained as 36/24=3/2.

If one of the lengths of figure B is 12 inches, then the corresponding length for figure A is 12/(3/2) = 8 in.

The corresponding side length is 8 inches

Rose went on a shopping trip to Richmond. She purchased a calculator originally priced at $100 but discounted 80%. If sales tax in Richmond is 15%, what was the total cost? $

Answers

Answer:

The total cost is [tex]\$23[/tex].

Step-by-step explanation:

Given: Original price of calculator is [tex]\$100[/tex], discount is [tex]80\%[/tex] and the sales tax is [tex]15\%[/tex].

To find: The total cost

Solution:

We have,

Original price of calculator[tex]=\$100[/tex]

Discount [tex]=80\%[/tex]

Sales tax [tex]=15\%[/tex]

Now, first we need to find the cost after applying the discount.

So, discount [tex]=\frac{80}{100}\times100=\$80[/tex]

Therefore, the cost after applying the discount

[tex]=\$100-\$80=\$20[/tex]

Now, we have to find the sales tax. Therefore,

Sales tax [tex]=\frac{15}{100}\times20=\$3[/tex]

So, the total cost is [tex]\$20+\$3=\$23[/tex].

Hence, the total cost is [tex]\$23[/tex].

Answer:

$23

Step-by-step explanation:

Hope this helps

SOMEONE PLEASE HELP!!!

Answers

The correct answer is 12
Answer will be = 12 ;))

how many subsset can be obtained from the set A={ m, a ,t ,h}​

Answers

Answer:

Step-by-step explanation:

{m}, {a} , {t} ,{h} ,{m,a}, {m,t} ,{m,h} ,{a,t} ,{a,h} ,{t,h} ,{m,a,t} ,{m,a,h} ,{m,t,h} ,{a,t,h} ,{ m,a,t,h} , {} are the subsets of the given question.

If you found my answer useful then please mark me brainliest.

4-3y+(-7y)+6.9=

Fast PLZ!

Answers

Simplifying
7y + -4 = 3y + 6

Reorder the terms:
-4 + 7y = 3y + 6

Reorder the terms:
-4 + 7y = 6 + 3y

Solving
-4 + 7y = 6 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
-4 + 7y + -3y = 6 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-4 + 4y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 4y = 6 + 0
-4 + 4y = 6

Add '4' to each side of the equation.
-4 + 4 + 4y = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 4y = 6 + 4
4y = 6 + 4

Combine like terms: 6 + 4 = 10
4y = 10

Divide each side by '4'.
y = 2.5

Simplifying
y = 2.5

what three ratios are equivalent to 11: 1

Answers

Answer:

33/3  

55/5

77/7

When these are simplified, they are equal to 11/1

what is the rate of change ?
y=-5x-3​

Answers

Answer:

the rate of change is -5.

Step-by-step explanation:

y = -5x - 3

-5 = rate of change

-3 = x intercept

Answer

The rate of change is -5

Step by step explanation

Y=5x-3

-5=rate of change

-3=x intercept

what is 2/3 ÷ 3/4 I really need help​

Answers

Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )

Answers

Answer:

[tex]3x ^{3} - {4}^{2} - 23x + 10[/tex]



Create your own "magic trick" that will always result in
5.

Write out the steps for the magic trick in the table. You
can add more rows as needed.


Explain why the result of your trick will always be 5.
Step 1:
Step 2:

Answers

The number 25, divide that by 5 will be 5 now subtract that 25 with 20, the answer will be 5, now a random 20 appeared, add the 2 5’s and that will become 10, not subtract that 10 with the 20, you get 10. Now add all the numbers you see in the screen, the answer is 142, not subtract that with 137, that will be 5... I just wasted your time.

solve for b? please help me ASAP!!

Answers

Answer:

b = [tex]\sqrt{45}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle on the left.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 6² = 9²

b² + 36 = 81 ( subtract 36 from both sides )

b² = 45 ( take the square root of both sides )

b = [tex]\sqrt{45}[/tex]

help please, don't answer if you don't know. ill give brainiest

Information about a rectangle is given below. Find the missing measurement.

Area = 63 km2
Length = 7 km
Width = ? km

Answers

Answer:

Width = 9 km

Step-by-step explanation:

Area is length*width, so to find the width, you divide the area by the length. 63/7 is 9.

Please help ASAP!!!??

Answers

Answer:

[tex]\{-2,-1,1,2,4\}[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the range of the graph

First, we list out the coordinate of each point on the graph:

The points are:

[tex]\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}[/tex]

A function has the form: (x,y)

Where

y = range:

From the coordinate points above,

[tex]y = \{-1,-2,2,1,4\}[/tex]

Order from least to greatest"

[tex]y = \{-2,-1,1,2,4\}[/tex]

Hence, the range are: [tex]\{-2,-1,1,2,4\}[/tex]

Which number of simulation trials would be likely to produce results that areClosest to the actual probability

Answers

Answer:

which ever answer is the largest number

Step-by-step explanation:

the bigger the number, the better accuracy

100 points! I will mark brainliest! Only answers if you know it. Random answers WILL be reported

Answers

Answer:

2sqrt5

Step-by-step explanation:

We know that the shortest distance would be with drawing a perpendicular line through BC and A.

BC is y = -2x+1

Therefore a perpendicular line should have slope 1/2

y = 1/2x + b

-3 = 1/2*-3 + b

b = -3/2

y = -2x+1

y = 1/2x - 3/2

-2x+1 = 1/2x - 3/2

-4x+2 = x - 3

5 = 5x

x = 1

y = 1

now of course the graph shows that already, but we're just proving that again

The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5

Answer:

Solution given:

AB=

[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]

[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units

[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]

so shortest distance=AC=4.5units

Find the equation of the exponential function represented by the table
below:
2
y
0
1
1
2
2
4
3
8.

Answers

9514 1404 393

Answer:

  y = 2^x

Step-by-step explanation:

The x-values are sequential integers, which helps the discovery of the function. The y-values have a common ratio of 2 = 2/1 = 4/2 = 8/4. This is the base for the exponential function.

The initial value of y=1 at x=0 tells you the multiplier of the exponential factor is 1, and the exponent is x (with no additions or subtractions). Your function is ...

  y = 2^x

Substitute teachers with Lexington School District get paid by the day, although subs with teaching credentials earn a different amount than subs without credentials. Yesterday, 3 non-credentialed subs and 2 credentialed subs taught in the district. That cost the district $368. Today, 11 non-credentialed subs and 7 credentialed subs taught, receiving $1,316 from the district. How much do subs get paid?

Answers

I honestly don’t know I’m sorry I’m just Trynna do a mid term exam

✨1 kai 1 poso kanei✨

Answers

Answer:

i'M bOuTA.. DOIVE

Explanation:

12 cups every 5 hours. Express this rate of flow in gallons per week

Answers

Answer:

25.2 gallons per week

Step-by-step explanation:

The graph of y= x^2 +4x +3 is shown
work out a and b please

Answers

Answer:

A.) i think it's (-2, -1)

B.) ?

Step-by-step explanation:

I am very sorry if they are wrong....i don't know B..sorry

Answer:

b = (-1,0) (-3,0)

Step-by-step explanation:

Y’all know what this is ?

Answers

Answer:

65

Step-by-step explanation:

8(5) + 25 = 65

We plugged in 5 for c since we know its value.

Answer:

65

Step-by-step explanation:

8x5=40 25+40=65

I hope this helps, and have a nice day!

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