After accelerating for 20 seconds, a DeLorean sports car has a wide range of speeds that it can achieve, depending on traction. The distribution of speed follows an approximately normal distribution with a mean of 80 mph and a standard deviation of 7 mph. What percentage of the trials will give the DeLorean a speed between 66 mph and 87 mph?

Answers

Answer 1

Answer:

81.859%

Step-by-step explanation:

We solve the question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 80 mph

σ is the population standard deviation = 7 mph

For x = 66 mph

z = 66 - 80/7

z = -2

Probability value from Z-Table:

P(x = 66) = 0.02275

For x = 87 mph

z = 87 - 80/7

z = 1

Probabilith value from Z-Table:

P(x = 87) = 0.84134

The probability of the trials will give the DeLorean a speed between 66 mph and 87 mph is calculated as:

P(x = 87 mph) - P(x = 66 mph)

0.84134 - 0.02275

= 0.81859

The percentage of the trials will give the DeLorean a speed between 66 mph and 87 mph?

100 × 0.81859

81.859%


Related Questions

What is the equation of a line with a slope of 2 and a y-intercept of -5?

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

y = mx + b

m = slope = 2

b = y-intercept = -2

If a circle has a radius of 2.7 meters, what is its circumference
rounded to the nearest meter?

Answers

Answer:

17 meters

Step-by-step explanation:

the circumference is solved by multiplying the diameter by pi.

the diameter can be found by multiplying the raduis by 2

the diameter is 5.4

5.4 x 3.14

16.956

about 17 meters

Answer:

17[tex]m^{2}[/tex]

Step-by-step explanation:

The cirfumference of a circle when given the radius is 2πr

So pi is 3.14 thus:

2 × 3.14 × 2.7

16.956 [tex]m^{2}[/tex]

When rounding of to the nearest meter check if the number in the tenths side is bigger than 5. It is bigger so we add 1 to the units making it 17[tex]m^{2}[/tex].

HOPE THIS HELPED

Find two numbers with a sum of 16 and a difference of 4.​

Answers

Answer:

10 and 6

Step-by-step explanation:

Variable equation:

x+y=16

x-y=4

Substitution: eq1-eq2.

2y=12

y=6

x=10.

Hope this helps :D

Step-by-step explanation:

Let the numbers are x and y

[tex]\longrightarrow\sf x+y=16 [/tex]

[tex]\longrightarrow\sf x-y=4[/tex]

add them

[tex]\longrightarrow\sf 2x=20 [/tex]

[tex]\longrightarrow\sf x=10[/tex]

Substitute the value in eq (1)

[tex]\longrightarrow\sf 10+y=16 [/tex]

[tex]\longrightarrow\sf y=6 [/tex]

numbers are 6 and 10

What is similar about the Hebrew Bible and the Epic of Gilgamesh?

Both books believed in many gods.
Both books were used by the Israelites.
Both books were originally written on papyrus.
Both books use stories as guidance to life.

Answers

Answer:

Both books use stories as guidance to life.

Step-by-step explanation:

The Hebrew Bible teaches that there is one God.

The Epic of Gilgamesh did not originate from the Israelites. It was ancient Mesopotamian.

The Epic of Gilgamesh was not written on papyrus

Therefore the only answer that it can me is the final one.

Answer:

D                   ☝

Step-by-step explanation:

Both books was used as a guidance of life and their beliefs.

Hope this helps!

A swimming pool that was partially drained has 205 gallons remaining in the pool when the owner begins filling the pool. Define an expression to represent the number of gallons of water in the pool in terms of the number of gallons, n , that have flowed into the pool since the pool owner began to fill the pool

Answers

9514 1404 393

Answer:

  205 + n

Step-by-step explanation:

If n gallons are added to 205 gallons that the owner started with, then the number of gallons of water in the pool is ...

  205 + n

A right triangle with leg lengths of 4 and 3 units has to be positioned in the coordinate plane to write a coordinate proof. Which set of coordinates would make the prrof easier to complete.

Answers

Answer:

We recommend to use a rectangular set of coordinates to make the proof  easier to complete.

Step-by-step explanation:

A right triangle is a triangle whose leg are orthogonal to each other, then we need to use a set of coordinates whose axes are orthogonal to each other. Hence, we recommend to use a rectangular set of coordinates to make the proof  easier to complete.

Find the distance between (-6, -10), (-2,-10).
Round to the nearest tenths place.

Answers

Answer:

the distance between these two points is 4

Step-by-step explanation:

Please help ASAP I WILL MARK AS BRAIN-LIST IF RIGHT

Answers

Answer:

x=29

Step-by-step explanation:

i know this is answer please try and make me brainlist pls.

no it is actually (0,4) and (1,8)

Answers

Answer:

umm ok

Step-by-step explanation:

please help asap! xoxo

Answers

Answer:

First one obv false

the second one since they all times 3/4 so yes

Leon is posting 12 flyers for the science club and 18 for the music club. He wants to make all the locations identical, with the same combination of science club flyers. In addition, he wants to make sure that no flyers are left over. What is the greatest number of locations that Leon can post at?

Answers

Answer:

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations

Step-by-step explanation:

Science club flyers = 12

Music club flyers = 18

He wants to make sure that no flyers are left over.

Find the highest common factor of 12 and 18

12 = 1, 2, 3, 4, 6 and 12

18 = 1, 2, 3, 6, 9 and 18

The highest common factor of 12 and 18 is 6

The greatest number of locations that Leon can post at is 6 locations

Science club flyers = 12

= 12 / 6

= 2

Leon will post 2 science club flyers in each location

Music club flyers = 18

= 18 / 6

= 3

Leon will post 3 music club flyers in each location

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations

Fie A(-1,2) B(3,-1) C(4,-1)
a)Determinati ecuatia carteziana a dreptei AB
b)lungimea medianei din punctul C a triunghiului ABC
c) Sa se afle coordonatele vectorului AB
Helpp plssss

Answers

do you mind rephrasing it in english

will

Do u mind doing this in English

evaluate the product of 12 and 2 minus the quotient of 45 and 5

Answers

13

The product of 2 numbers is when you multiply them together. 12x2=24

The quotient of 2 numbers is when you divide them. 45/5=9

24-9=13

The product of 12 and 2 minus the quotient of 45 and 5 is 84.

What is Expression?

An expression is combination of variables, numbers and operators.

we need to find  the product of 12 and 2 minus the quotient of 45 and 5

the quotient of 45 and 5, we can calculate it by dividing forty five divided by 5.

45/5 is 9

2 minus the quotient of 45 and 5

So subtract 2 from 9

9-2=7

Now  the product of 12 and 2 minus the quotient of 45 and 5.

12 is multiplied with seven

12×7

84

Hence, the product of 12 and 2 minus the quotient of 45 and 5 is 84.

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86[]×[]=2325
or u can directly help me to find the square root of 55225 by division method
plez I'm stuck in this from long

Answers

Answer:

235

Step-by-step explanation:

The square root of 55,225 is = 235

because,

235 x 235 = 55,225

Cher wraps 40 presents in 2 hours. At that rate, how many presents would she wrap in 15 minutes

Answers

Answer:

5 presents

Step-by-step explanation:

40 presents in 2 hours

20 presents in 1 hour (divide by 2)

20 presents in 60 minutes ( 1 hour is 60 minutes )

5 presents in 15 minutes ( divide by 4)

what is 1/2 divided by 1/4 please its a test

Answers

Answer:

It would be 2!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i did the test i passed

2 (9r + 3) 77 > 10r
10r - (12r +9 )

Answers

Answer:

Your answer is: ↓

[tex]2 (9r + 3) 77 > 10r[/tex]        =         [tex]2=\\9r+3=9r+3\\77>10r=9r+3[/tex]

[tex]10r-(12r+9)\\=2r-9\\[/tex]

If you are trying to solve those equations at one time your answer is: ↓

[tex]2(9r+3)77>10r\\10r-(12r+9)[/tex]         =          [tex]2=\\9r+3=9r+3\\77>10r=9r+3\\10r-(12r+9)=-2r-9[/tex]

Step-by-step explanation:

Hope this helped : )

Write the following as a product and as a sum: double the expression 3.6x - 2.5?

Answers

Answer:

7.2x-5

Step-by-step explanation:

2(3.6x-2.5)

=7.2x-5

PLS GIVE BRAINLIEST

X-4y=28 in slope intercept form

Answers

Answer:

y = 1/4x - 7

Step-by-step explanation:

Slope intercept form is y=mx+b

To turn the equation into slope intercept you would have to re-arrange it making sure to do the same thing on both sides.

 x - 4y = 28

- x            -x

-4y = -x + 28

Now divide both sides by -4

y = 1/4x -7

If you have any questions let me know. Hopefully this helps and have a great day!

The equation x - 4y = 28 can be written in slope-intercept form as y = (1/4)x - 7.

Given is an equation x - 4y = 28, we need to convert this in slope-intercept form,

To convert the equation x - 4y = 28 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate the variable y.

Starting with the given equation:

x - 4y = 28

We can begin by moving the x term to the other side of the equation:

-4y = -x + 28

Next, we divide both sides of the equation by -4 to isolate y:

y = (-1/-4)x + (28/-4)

Simplifying further:

y = (1/4)x - 7

Now we have the equation in slope-intercept form, with a slope of 1/4 and a y-intercept of -7.

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The diagram below represents changes that take place within the human body. The diagram
represents *
(1 Point)

Answers

Answer:

Dynamic equilibrium

Step-by-step explanation:

Dynamic equilibrium in the human body is achieved when there is an internal control which tends to oppose certain outside forces which could affect the body. It's known to be the ability to detect and respond to stimuli by living organisms. When these stimuli occur, there are feedbacks or responses that are sent or received by the body to maintain stability. This dynamic equilibrium of the internal environment can also be seen as homeostasis.

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Answers

3/4 of an hour = 45 minutes
45 * 3 = 135 minutes
135 + 45 = 180 minutes
He spends 180 minutes or 3 hours
Question

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Answer:

3 hours (or 180 minutes)

Step-by-step explanation:

3/4 of an hour = 45 minutes

45 minutes × 3 = 135 minutes or 2 hours and 25 minutes

2 hours and 25 minutes + 45 minutes = 3 hours (180 minutes)

What is the slope?????????

Answers

To find slope, divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points,hope this helps you (:

2√(1.5+√2)-(1.5+√2)​

Answers

Answer:

Step-by-step explanation:

0

Please Help Me Due Today!! Major points!!!
Identify two or more drawbacks/cons of having one-way streets within a grid street system.

Answers

Answer:CASE #1 - Divergent and convergent one-way

residential streets to reduce direct through

routes impacting the neighborhood.

CASE #2 - Alternating one-way streets throughout a

portion of a grid system to gain safety

advantages of one-way operations.

CASE #3 - Creating a one-way couplet by paring a

residential street with a nearby thru street to

create a corridor for thru traffic

Step-by-step explanation:

can i get more context on it ? like is there a picture or anything ??

John has 3 ½ pounds of Skittles. He wants to share them with his friends. He decides to give ¾ pounds of Skittles to each friend. The leftover Skittles he keeps for himself.

Answers

Given :

John has 3 ½ = 7/2 pounds of Skittles.

He decides to give ¾ pounds of Skittles to each friend.

To Find :

How much the leftover Skittles are.

Solution :

Let, his number of bands are x.

So, amount of Skittles left is :

[tex]L= \dfrac{7}{2}-\dfrac{3x}{4}\\\\L = \dfrac{24-3x}{4}[/tex]

Therefore, amount of leftover Skittles are [tex]\dfrac{24-3x}{4}[/tex] pounds if number of friends are x.

Hence, this is the required solution.

write the following statement as expression 50 more than x​

Answers

Answer:

What statement??? I don't see one to re-write.

Step-by-step explanation:

Answer:

Required Answer:-

Statement:-

50 more than x

Expression:-

[tex]{:}\longrightarrow[/tex][tex]\sf x+50[/tex]

Please help!!!!!!!!!​

Answers

Answer:

4/9

Step-by-step explanation:

When you square an entire fraction, both the numerator and detonator get squared as well.

Answer:

its too simple see

[tex] (\frac{2}{3} ) {}^{2} = \frac{2 {}^{2} }{3 {}^{2} } = \frac{2 \times 2}{3 \times 3} = \frac{4}{9} \\ [/tex]

hope it help.......(•‿•)

1. Angle BAC = 35° and angle BCA = 20°. What is the measure of angle BAD?
2. What is the measure of angle ABC?

Answers

Answer:

add 35 and 20

Step-by-step explanation:

1) The measure of angle BAD will be 55°.

2) The measure of the angle ABC is 125°.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

1.) The angle BAD will be calculated by applying alternate exterior angle property.

The angle BAD = 35 + 20 = 55°

2). The angle ABC will be calculated by the triangle angle sum property which is the sum of all the angles of the triangle is 180°.

Angle ABC = 180 - 35 - 20 = 125°

Therefore the measure of angle BAD will be 55°. The measure of the angle ABC is 125°.

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what is the product of 2/3 * 3/8?

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Dude just use a calculator or something.

Specifically,

2/3 = 14 /24

3/8 = 9 /24

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

14+9=23 /24

But still it comes out to .25 as decimal, and .25 equals 1/4

What is the relationship between 3 squared and the square root of 9

Answers

Answer:

Three squared is 9 because 3*3=9 so therefore it is also the square root of 9

So the relationship is that 3 squared is 9 and the square root of 9 is 3

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