Question 1

2 pts

(09.05)

At an intersection, the red light times are normally distributed

with a mean time of 3 minutes and a standard deviation of 0.25

minutes. Approximately what percent of red lights last between

2.5 and 3.5 minutes? (2 points)

32%

68%

Answers

Answer 1

Answer: The percent of red lights last between  2.5 and 3.5 minutes = 95.44% approx.

Step-by-step explanation:

Given: Mean time = 3 minutes

standard deviation = 0.25 minutes

The probability of red lights last between  2.5 and 3.5 minutes :-

[tex]P(2.5<x<3.5)\\\\=P(\dfrac{2.5-3}{0.25}<\dfrac{x-\mu}{\sigma}<\dfrac{3.5-3}{0.25})\\\\=P(-2<z<2)\\\\=2P(Z<2)-1\\\\=2(0.9772)-1\\\\=0.9544[/tex]

The percent of red lights last between  2.5 and 3.5 minutes = 95.44% approx.


Related Questions

A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded.

What is the area of the shaded region?

Answers

Answer:

The Area of the Shaded Region: C. (25π – 24) cm^2

Step-by-step explanation:

Just took the Unit Test on Edg (2020-2021)!!

Will mark brainliest. Add 2√2+ 5√3 and √2 – 3√3.​

Answers

Answer:

3√2 + 2√3

Step-by-step explanation:

2√2 + 5√3 + (√2 - 3√3)

(2√2 + √2 ) + (5√3 - 3√3)

(2+1) √2 + (5-3) √3

3√2 + 2√3

The answer is 7.70674230227

Find the volume of the cylinder . Round to the nearest tenth. r = 5 cm 5 cm V=[?]cm^ 3

Answers

Answer:

V = 392.70 cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

V = 22/7 * 5² * 5

V = 392.70 cm³

Answer: Acellus uses 3.14 for pi, so 5^2*5*3.14 is 392.5

Step-by-step explanation: 392.5

what is 3040-17+6987x987654

Reat me 1-10

Answers

Answer:

6900741521

u cool

i guess

imma guy so...imma say u look 6/10

Step-by-step explanation:

In a bag of jellybeans there are 6 purple jellybeans, 5 blue jellybeans, 3 yellow jellybeans, 2 green jellybeans, and 4 red jellybeans. One jellybean is selected at random. What is the probability of selecting a jellybean that is not green?

Group of answer choices

2/20

1/9

1/10

9/10

Answers

Answer:

9/10

Step-by-step explanation:

There are 20 and 2 green 20-2 is 18 so 18/20 simplified is also 9/10

Answer:

9/10

Step-by-step explanation:

hope it helps

LEARNING TASK 3:

Directions: Given that b ∥ c with d as

transversal. Find the value of x in the

following.





1. ∠4 = 5x, ∠5 = 120°

2. ∠1 = 100°, ∠7 = 10x

3. ∠2 = 3x - 10, ∠6= x + 30

4. ∠4 = 3x + 10, ∠6= 2x + 20

5. ∠1 = 7x + 9, ∠5 = 5x + 31

Plssss I need this now​

Answers

Step-by-step explanation:

1. Angle 5 = 120 degree

Angle 5 = Angle 6 ( alternate exterior angles are equal )

Therfore, Angle 6 = 120 degree

Angle 6 = Angle 4 ( Vertically opposite angles are equal )

Therfore, Angle 4 = 120 degree

Angle 4 = 5x

120 = 5x

120/5 = x

40 = x

Therefore x = 40 degree.

2. Angle 1 = 100 degree

Angle 1 = Angle 7 ( vertically opposite angles are equal )

Therefore, Angle 7 = 100 degree

Angle 7 = 10x

100 = 10x

100/10 = x

10 = x

Therefore x = 10 degree

I want some more time for this question.

Someone help me out please?

Answers

4/4,0.40,and 40% are equal
B.
1/4=25/100 fraction
0.25=25/100 decimal
25%=25/100 percent
All three are variation of the same value

What is the factorization of the trinomial below?
3x^3 + 6x^2- 24x

Answers

Answer:

D

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkk

What is the solution to the following system of equations? 3x-4y=-35 3x+4y=25

Answers

y= -31 over 3 and y=14


The temperature startedat 10 degrees F. The temperature dropped 5
degrees every hour. What was the temperature after 3 hours?

Answers

Answer:

-5FStep-by-step explanation:

10-5x3=-5 F

What is 6.23 billion in scientific notation?

Answers

Answer:

6.23 E9

Step-by-step explanation:

1 Billion = 1 E9

6.23 billion = 6.23 E9

Leave a thanks and mark brainliest if this helped.

Leave a thanks and mark brainliest if this helped.

Which expression is equivalent to 10(f + 6e)?

a. 2(5f - 3e)
b. f(10 + 6e)
c. 2(5f + 3e)
d. 10(f + 6e)

Answers

Answer:

D. 10(f + 6e)

Step-by-step explanation:

sana nakatulong

I need some help please​

Answers

Answer:

109

Step-by-step explanation:

Formula

<ZHG + <IHZ = <IHG

Givens

<ZHF = 11x - 1

<IHZ = 24

<IHG = 12x + 13

Solution

11x - 1 + 24 = 12x + 13             Combine terms on the left

11x + 23 = 12x + 13                  Subtract 13 from both sides

     - 13             - 13  

11x + 10 = 12x                           Subtract 11x from both sides

-11x           -11x

        10 =   x

Answer

11x - 1 = 11*10 - 1 = 110 - 1 = 109

Help me help me please I have to finish this by Tommrow

Answers

A.

i did this test already trust me

Answer:

I am not sure check it

but the answer is A

Nov. 1 Loaned $52,200 cash to C. Bohr on a 12-month, 7% note. Dec. 11 Sold goods to K. R. Pine, Inc., receiving a $1,800, 90-day, 8% note. Dec. 16 Received a $4,800, 180-day, 10% note to settle an open account from A. Murdock. Dec. 31 Accrued interest revenue on all notes receivable.

Answers

Answer:

Dr Notes Receivable $52,200

Cr Cash $52,200

Dec. 11

Dr Notes Receivable $1,800

Cr Cash $1,800

Dec. 16

Dr Notes Receivable $4,800

Cr Accounts Receivable $4,800

Dec. 31

Dr Interest Receivable $637

Cr Interest Revenue $637

Step-by-step explanation:

Preparation of the journal entries

Nov 1

Dr Notes Receivable $52,200

Cr Cash $52,200

Dec. 11

Dr Notes Receivable $1,800

Cr Cash $1,800

Dec. 16

Dr Notes Receivable $4,800

Cr Accounts Receivable $4,800

Dec. 31

Dr Interest Receivable $637

Cr Interest Revenue $637

($609+$8+$20)

Working:.

Interest Revenue

Note that 1 Nov to Dec 31st will give us 2 months

=$52,200 x 0.07 x 2/12 =$609

Note that Dec 11 to Dec 31st will give us 20 days

=$1,800 x 0.08 x 20/360 =$8

Note that Dec 16 to Dec 31st will give us 15 days

=$4,800 x 0.10 x 15/360=$20

ABCD is a square with an area of 49 cm2, and BE = 4.95 cm. Point E is the midpoint of 2 diagonal lines crossed inside the square.

Answers

Answer:

I suppose we want to find the side length of the square.

We know that:

The area of the square is 49cm^2

The distance between one of the vertices of the square and the middle of the square is:

BE = 4.95cm

Now let's remember some things.

For a square of side length L, the area is:

A = L^2

and the diagonal length is:

D = √(2)*L

In this case, we know that half of the diagonal is equal to:

BE = 4.95 cm

Then the diagonal is:

D = 2*BE = 2*4.95cm = 9.9cm

And for the diagonal formula, we have:

D =  9.9cm = √(2)*L

Then the side length is:

L = 9.9cm/√(2) = 7cm

And if we check the area of this square, is:

A = L^2 = (7cm)^2 = 49cm^2

So it checks.

Then we can conclude that the sidelength of the square is 7cm, which means that:

AB = 7cm

BC = 7cm

CD = 7cm

DA = 7cm

please help asap, i need this!!!!!​

Answers

Ch gc cdvnjhg if Gn havin ggcdhb gts Gn
The answer is A: 75°

75+75=150

360-150=210

210\2= 105

So the angles would be 105, 105, 75, 75


The radius of a circle is 10 cm. Find its circumference in terms of pi

Answers

Answer:

20 pi is the correct answer


please help!! I’m doing 13 points since it’s sorta tricky!!

Answers

Answer:

c 10

Step-by-step explanation:

2units each and there are five spaces , this 10

Simplify. (Use the form a + bi.)
3 − 6i
−7i

Answers

Answer:

3 - 13i

Step-by-step explanation:

3 - 6i - 7i

3 - 13i

Can someone please help me with math.

Answers

Answer:

21) C it lies between 9 and 10 on a number line

I need help with math, I don't understand any of this type of stuff.

Answers

Answer:

option number three goes to square, option number two goes to trapezoid and las third option goes to rectangle.

Step-by-step explanation:

Super urgent please help urgent

Answers

Answer:

A) the value is less than 67

Step-by-step explanation:

does the graph below represent y as alinear function of x. yes or no​

Answers

9514 1404 393

Answer:

  No

Step-by-step explanation:

The graph is not a straight line with define slope, so does not represent a linear function.

__

The graph has segments that are straight lines. It is what we call "piecewise linear."

A wheel has a diameter of 28 inches. What is the approximate distance around the outside of the wheel? Use 3.14 for pi.

Answers

Answer:

43.96

Step-by-step explanation:warning might be wrong

Given the definitions of f (x) and g(2) below, find the value of g(f(5)).
f(x) = x² - 6x – 6
g(x) = -3x + 11

Answers

Answer:

[tex]g(f(5)) = 44[/tex]

Step-by-step explanation:

First, solve for [tex]f(5)[/tex]

[tex]f(5) = 5^2-6(5)-6 = -11\\[/tex]

Then, plug in what you got for [tex]f(5)[/tex] into [tex]g(x)[/tex].  Since [tex]f(5) = -11[/tex] you will be solving for [tex]g(-11)[/tex].

[tex]g(-11) = -3(-11) + 11 = 44[/tex]

the answer is 44.

Please be sure to mark this answer as brainliest if it satisfies you.

Step-by-step explanation:

your answer is in the photo attached

Which of these is NOT an example of lateral surface area? A. The label of a soup can. B. Painting the walls of your bedroom. C. The paper wrapper of an ice cream cone. D. The air in a basketball​

Answers

I believe the answer is D

Answer:

I think it is D because it's just gas

Step-by-step explanation:

help help ASAP!!!!!!!

Answers

Answer:

Greatest angle measure is ∠Q

Smallest angle measure is ∠R

Step-by-step explanation:

As the length of side are in the same order as the measure of the angles opposite the lengths of sides. The greatest side is opposite to the greatest angle.

By using the properties of triangle , if one angle of a triangle is larger than the other angle, then the side opposite to the larger angle is greater than the side opposite to the smaller angle.

Longest side=PR=13cm

∴ Greatest angle measure is ∠Q

Smallest side=PQ=8cm

∴ Smallest angle measure is ∠R

please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!

Answers

Answer:

do u have insta

Step-by-step explanation:

The sum of two circles is 80 pi square meters. Find the length of the radius if one of them is twice as long as the other

Answers

Answer:

Length of Radius of large circle= 8

Lenght radius of first circle= 2

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

The sum of the areas of two circles is 80π square meters. Find the length of a radius of each circle if one of them is twice as long as the other.

What is the radius of the larger circle?

Area of a circle can be calculated by Below formula

A = πr^2............eqn(1)

Let ( X) = area of first circle

Y= the area of second circle

Rx= radius of first circle

Ry = radius of second circle

From the question, we know that

[X+ Y] = 80π .......eqn(2)

Substitute the radius formula for the area,

[π(Rx)^2 + π (Ry)^2] = 80π ......eqn(3)

But from the question, Radius of second circle is twice of the second one, then

Ry = 2Rx ..........eqn(4)

If we substitute eqn (4) into eqn(3)

[ π(Rx)^2 + π (2Rx)^2 = 80π

If factorize π out, then cancel it out

π[(Rx)^2 + π (2Rx)^2 = 80π

Then we have

(Rx)^2 + 4(Rx)^2 = 80

5(Rx)^2 = 80

(Rx)^2= 80/5

(Rx)^2= 16

(Rx)= 4

From eqn(4)

Ry = 2Rx

Ry= 2(4)

Ry= 8

Rx= 2 and Ry= 8

Hence, radius of first circle= 2

Lenght Radius of second circle= 8

Other Questions
Mallory likes to dance in the rain.a. Infinitiveb. Gerundc. Participle What hexadecimal number does this binary number represent? 1011 1001 0001 1000A: 9818B: B818C: B918D: A918E: A817 How do u convert kilometres into minutes Example 0.8kilometer what till ut b in minutes woukd u times by 70 the japanese learned about __________ from the chinese Why was Pope Gregory called the Great"? Two rubber bullets (each of the same mass) are fired at the same velocity towards two different blocks of equal mass. One block is made of clay and the bullet gets stuck in it, the clay block bullet begins to move in the direction the bullet was fired. The other block is made of aluminum and the bullet bounces off the block, the aluminum block also begins to move in the direction the bullet was fired. Which block (clay or aluminum) will move with greater velocity after being struck by the bullet Which of the following statements best describe history? It involves how it has changed and not changed at all It is a narrative anchored in chronology, continuum of time It explains the past by telling stories of what happened, why it happened and how it relates to past events all of the above The following is a partially completed lower section of a departmental expense allocation spreadsheet for Brickland. It reports the total amounts of direct and indirect expenses for the four departments. Purchasing department expenses are allocated to the operating departments on the basis of purchase orders. Maintenance department expenses are allocated based on square footage. Compute the amount of Purchasing department expense to be allocated to Fabrication. Purchasing Maintenance Fabrication Assembly Operating costs $ 42,000 $ 24,000 $ 106,000 $ 72,000 No. of purchase orders 15 5 Sq. ft. of space 3,800 2,200 If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?(Make sure to answer with a whole number.) just explain it How do you think the new railroads impacted: Native Americans? Farmers? Factory owners? real answer no link Name a pair of adjacent angles. Explain why they are adjacent. what parishes are in the marsh region of Louisiana 4/5 divided by 1/3 ?? Not really confused on this one, i just need a clarification. How does keeping promises help built better relationships (PLZ HELP I WILL GIVE BRAINLIST) and plz dont gooogle* Life and Friendship Brainstorm a list of ways they are similar. what types of sedimentary rocks are formed from the remains of dead organisms 5. A restore program generally is included with what type of utility?O A. Screen saverO B. AntivirusO C. UninstallerD. Backup6. The interface that allows interaction with menus, and visual images such asbuttons:A. Touchscreen user interfaceO B. Menu driven InterfaceO C. Graphical user interfaceO D. Command line interface The school cafeteria has 13 round tables and 20 rectangular tables. Each round table has 7 chairs, and each rectangular table has 8 chairs. How many chairs are there in all? This excerpt is from a memoir by Muhammad Hallaj, a political scientist who was a high school student in Palestine when the Arab-Israeli conflict began in 1948.In 1967, the Israelis completed their conquest of Palestine, seizing the Gaza Strip and the West Bank, including Qalqilya. They bore down on Qalqilya with a particular vengeance. They tried to destroy the town completely, loading many of the inhabitants onto trucks and dumping them at the Jordan River, telling them to "go to King Hussein." My father was among them. After dynamiting and bulldozing a substantial part of the town, foreign embassies in Tel Aviv found out what Israel was doing in Qalqilya and had their governments intervene. International pressure forced Israel to stop destroying the town.from "Recollections of the Nakba through aTeenager's Eyes" In the first sentence, Hallaj states that the Israelites had completed their conquest of Palestine by seizing Gaza and the West Bank. Based on his word choice, how did Palestinians view the Six-Day War? as only a partial loss as an occupation as a complete victory as an equal battle