The mileages of cars in a fleet of cars are normally distributed with a mean mileage of 52,000 miles and a standard deviation of 2,000 miles. What is the probability of randomly selecting a car with a mileage less than 52,000 miles?

Answers

Answer 1

Answer:

50%

Step-by-step explanation:

We have that the mean is 52000 miles (m) and the standard deviation is 2000 miles (sd), so we are asked:

P (x <52000)

P ((x - m) / sd <(52000 -52000) /2)

P (z <0)

If we look in the normal distribution table we have to:

P (x <52000) = 0.5

That is, the probability is of randomly selecting a car with a mileage less than 52,000 miles 50%

The Mileages Of Cars In A Fleet Of Cars Are Normally Distributed With A Mean Mileage Of 52,000 Miles

Related Questions

At 1:00 p.m., the temperature is 12°F. If the temperature steadily decreases by 2°F per hour, then what the temperature at 08:00 p.m

Answers

Answer:

-2

Step-by-step explanation:

There’s a decrease over 7hrs 7•-2= -14

12-14=-2

Answer:

-2

Step-by-step explanation:

X-11 < 36
Answer here

Answers

Answer: x< 57

Step-by-step explanation:

x -11 < 36    Add 11 to both sides.

  +11    +11

x < 47

57 I think I hope this helps

WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 + i 7 + i . First, multiply both the numerator and denominator by . The product in the numerator is + i. The product in the denominator is

Answers

Answer:

-2 + i

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

5

Step-by-step explanation:

(-3+i)/ (7+i)

Multiply by the complex conjugate

(-3+i)/ (7+i)  * (7-i)/(7-i)

Numerator

(-3+i)(7-i) = -21 +7i +3i -i^2 = -21 +10 i - (-1) = -21 +10i +1 =-20+10i

Denominator

(7+i)(7-i) = 49 +7i-7i - i^2 = 49 - (-1) = 49+1=50

Numerator over denominator

-20 + 10i

-----------

50

Divide by 10

-2 + i

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

5

Answer:

(-2 + i) / 5

Step-by-step explanation:

(-3 + i)/(7 + i)= (-3 + i)(7 - i) / (7 + i)(7 - i)= (-21 + 3i + 7i - i²) / (49 - i²)= (-21 + 1 + 10i) / (49 + 1) =(- 20 + 10i) / 50 =(-2 + i) / 5

First, multiply both the numerator and denominator by =  7 - i

The product in the numerator is

- 2 + i

The product in the denominator is

5

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?

Answers

Answer:

13.35 millimeter. (About)

Step-by-step explanation:

To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:

πr²/2

So, if the radius is 8.5,

8.5 · 3.14 = 26.69

Now we divide it by 2.

26.69 = 13.345

Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.

Answer:

185.43 mm 2

Step-by-step explanation:

,.

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A football player runs 10.7 m/s toward the end zone. If he runs for 3.7
seconds how far does he get?

Answers

Answer:

39.59

Step-by-step explanation:

Identify the closest perfect squares less than and greater than the radicand below, respectively.
135
A. 25 and 36
B. 25 and 40
C. 30 and 36
D. 30 and 40

Answers

It would be A because they’re both perfect squares

Find the measurement of the inscribed angle CDB indicated below

Answers

Answer:

∠ CDB = 45°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

∠ CDB = 0.5 × BC = 0.5 × 90° = 45°

Katie sewed costumes for the high school's annual play. She spent the following number of hours on each dress. What is the mean number of hours spent on each dress? 5 1/4 4 1/2 3 3/4 4

Answers

About 2.91 hours rounded

Answer:

round down to 2.9 if to 1dp

Step-by-step explanation:

Write y = 2/3 x+ 7 in standard form using integers.

Answers

Answer:

Step-by-step explanation:

y=2/3 x+7

multiply by 3

3y=2x+21

2x-3y+21=0

or 2x-3y=-21

Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work.

Answers

Answer:

The rent is the same when 2 months have passed.

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Step-by-step explanation:

Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.

The Resort complex:

[tex]c_{resort}(t) = 600 + 950*t[/tex]

The Uptown Suites Duplex:

[tex]c_{uptown}(t) = 300 + 1100*t[/tex]

To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:

[tex]600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\[/tex]

The rent is the same when 2 months have passed.

If she intends to live in them for 6 months, the cost of each are:

[tex]c_{resort}(t) = 600 + 950*6 = 6300[/tex]

[tex]c_{uptown}(t) = 300 + 1100*6 = 6900[/tex]

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Help!
MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the new price of a bag, y, given an original price, p? Select all that apply. *
A) y = 0.72p
B) y = p + 0.72p
C) y = 1.28p
D) y = p + .28p
E) y=1.28p
F) y = 1 + .28p

Answers

Answer: it’s C.

Step-by-step explanation:

The equation that represents the new price of a bag is y = 1.28p.

Markup rate is the ratio of the difference between the selling price and cost price to the cost price. It is given by:

Markup rate = (selling price - cost price)/cost price

Given that y is the selling price, p is the cost price and the markup rate is 28%, hence:

28% = (y- p)/p

y-p = 0.28p

y = 1.28p

Hence the equation that represents the new price of a bag is y = 1.28p.

Find out more at: https://brainly.com/question/23106860

4−2(x−5)=x−19? Help

Answers

Answer:

x=11

Step-by-step explanation:

Start by distributing:

4-2(x-5)= x-19

4-2x+10= x-19

Add 19 and 2x to both sides (the -19 and -2x will turn into 0)

4+10+19= 2x+x

Add 4+10+19

33= 3x

Divide by 3

x=11

Help pure people pls get brainliest

Answers

Answer:

hi there!

The correct answer is: 5

Step-by-step explanation:

The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]

and since the two points given are: (2,1) and (5,5)

you plug in the points and you get: 5

[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]

[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]

[tex]\sqrt{9+16}[/tex]

[tex]\sqrt{25 } = 5[/tex]

Answer:

The correct answer is five

Step-by-step explanation:

The slope is 4/3 and since  the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples

What are the coordinates of the center of a circle whose equation is (x+1)^2+y^2=100?

Answers

Answer:

The center is (-1,0) and the radius is 10

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2

where the center is (h,k) and the radius is r

(x+1)^2+y^2=100

(x - -1)^2+(y-0)^2=10^2

The center is (-1,0) and the radius is 10

Answer:

radius = 10

center = (- 1, 0)

Step-by-step explanation:

eqn. of the circle = (x - h)^2 + (y - k)^2 = r^2

= (x + 1)^2 + y^2 = 100

(x - (-1))^2 + (y - 0)^2 =10^2

The center is (- 1, 0) and the radius is 10

Hope this helps!

The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorine tablets needed for 20 days? A. 5 to 20 B. 8 to 20 C. 7 to 20 D. 3 to 20

Answers

Answer:

The answer would be B. 8 to 20

Step-by-step explanation:

You use 2 tablets per 5 days and there are 20 days 5/20=4 4 times you need to add tablets 4 times 2 is 8 which would make the ratio 8 to 20. Hope this helped. :)

Answer:

B

Step-by-step explanation:

Works on edge 2021

Lucy's parents built a swimming pool in the backyard. Use 3.14 for .
40 ft
20 ft
What is the distance around the pool? The distance around the pool is 131.47 feet.
What is the area of the pool?
Can someone please help

Answers

Area = l x w = 40 x 20

= 800 sq ft.

Which figure has a greater volume and by how much?
3 cm
3 cm
5 cm
5 cm
8 cm
6 cm
15 cm
15 cm
Figure 1
Figure 2
The volume of figure 1 is 45 cm greater than the volume of figure 2.
The volume of figure 2 is 45 cm greater than the volume of figure 1.
The volume of fioure 1 is 10mg areater than the volume of figure 2

Answers

Answer:

Step-by-step explanation:

The volume of figure 1 is 45 cm greater than the volume of figure 2.

The volume of figure 2 is 45 cm greater than the volume of figure 1.

The volume of fioure 1 is 10mg areater than the volume of figure 2

Can someone please help

Answers

The answer is B) Translation, Congruent

Vlad tried to solve an equation step by step.
Find Vlad's Mistake.

Answers

Answer:

I think that it’s correct

Step-by-step explanation:

Answer:

Vlad did not make a mistake

Step-by-step explanation:

Khan academy 7th grade inequalities quiz 2 and unit test

do complementary angles form straight angles?

Answers

Answer: no

Explanation: Complementary angles form a right angle (L shape) and have a sum of 90 degrees.

Alex measured the rainfall on his property to be 10.5 cm in June which he calculated to be a 35% increase compared to the previous month. how much had it rained in may explain the steps you took to turn in the solution

Answers

Answer: 3.675 cm

Step-by-step explanation:

June was 35% more compared to May

35% of 10.5 cm = 3.675 cm in May

Pls Need Help!
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees.

Which statement is not true about these triangles?
A. ∠Q ≅ ∠T based on the third angle theorem.
B. ∠S corresponds to ∠V.
C. ∆QRS ~ ∆TVU based on the angle-angle criterion.
D. ∆RQS ~ ∆VTU based on the angle-angle criterion.

Answers

Answer:  ∠S corresponds to ∠V.

The solution is Option B.

The measure of angle ∠S corresponds to ∠V

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be ΔQSR

Let the second triangle be ΔTUV

Now , the measure of ∠Q = 98°

The measure of ∠R = 37.6°

The measure of ∠U = 98°

The measure of ∠V = 37.6°

So , the measure of the third side of the triangles is

The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )

The measure of ∠S = measure of ∠T = 44.4°

And , ∆QRS ~ ∆TVU based on the angle-angle criterion

So , ∠Q ≅ ∠T based on the third angle theorem

And , ∆RQS ~ ∆VTU based on the angle-angle criterion

Hence , the false statement is ∠S corresponds to ∠V.

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ6

Simplify x^-3*(y^8*z^5)/x^-2*y^-7*-6

Answers

I’m pretty sure the answer is this:

What is the answer of 135=-9x+9?

Answers

Answer:

x=-14

Step-by-step explanation:

move all the terms that don't  contain x to the right side and solve.

(idk if this is correct but i hope it helps)

Answer:

Please mark me brainliest and I hope this helped!

X = -14

Step-by-step explanation:

First, we want to isolate the variable. So we subtract 9 from both sides and that gives us 126= -9. Now we divide both sides by -9. That gives us -14=x. So the answer is:

x = -14

Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari's grade?

Answers

Answer:

The mean

Step-by-step explanation:

Answer:

the answer is option a) the mean

Step-by-step explanation:

The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.

Answers

Answer: side = 6.8 inches

Step-by-step explanation:

Side of pentagon = perimeter/5

= 34/5 = 6.8

Please help, due tomorrow

Answers

Answer:

E. CI = 102.79

Please !!!!!! Help me

Answers

Answer:

a. 1 b. 3/5 or 60%

Step-by-step explanation:

number of favourable events/number of total events

3x/5x = 3/5

Please help ASAP Very easy !!!!

Answers

Answer:

Brainleist is to be given to me!

Step-by-step explanation:

-2/3

its between -1 and 0 but is closer to -1

the only choises are -1/3 and -2/3 but its closer to -1 so it must be -2/3

A circular lawn has a row of bricks around the edge. The radius of the lawn is about 20 feet.







Which is the best estimate for the area of the grass in the lawn? Use 3.14 for π. Select One.


125 feet


125 square feet


1250 feet


1256 square feet

Answers

Answer:1256

Step-by-step explanation:

You need to find the area which is Area=3.14xradiusxradius

So in short hand A=3.14x20x20 which is 1256 feet

Other Questions
Select the linear function that describes the relationship between the domain andrange in the table below.x fx)-15031 1 The rectangular field at Wilson Middle School is 300 feet long and 175 feet wide. In gymclass, students warm up by jogging along the edges of the field. What is the total numberof feet they jog?475 feet950 feet52.500 feet105.000 feet g A 4 cm diameter "bobber" with a mass of 3 grams floats on a pond. A thin, light fishing line is tied to the bottom of the bobber, and from the bottom hangs a 10 gram lead weight. The density of lead is 11.3 g/cm3. What fraction of the bobber's volume is submerged, as a percent of the total volume What best defines "War Hawks?"a flock of aggressive, predatory birdsrepresentatives from the North who supported continued trading with Great Britain and war with Francefrontier settlers and farmers of the West and South who wanted to expand America's frontiers Which side will require the use of the distance formula to find the length? Two mutually exclusive investment opportunities require an initial investment of $10 million. Investment A pays $1.5 million per year in perpetuity, while investment B pays $1.2 million in the first year, with cash flows increasing by 3% per year after that. At what cost of capital would an investor regard both opportunities as being equivalent? The current through an inductor of inductance L is given by I(t) = Imax sin(t). (a) Derive an expression for the induced emf in the inductor as a function of time. (b) At t = 0, is the current through the inductor increasing or decreasing? (c) At t = 0, is the induced emf opposing or aiding the flow of the charge carriers? (Remember that the direction of a positive induced emf is the same as the current direction and the direction of a negative induced emf is opposite the current direction.) (d) How are the answers to parts b and c consistent with the behavior of inductors discussed in the text? An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold? Please need help with my ENGLISH assignment! NEEDS TO BE SUBMITTED NOW! Which expressions are equivalent to 5x-15? Select three options B,C,E When a baby discovers that her world is a fairly predictable place in which her needs are met by a responsive caregiver, _____ would say she has resolved the crisis of trust versus mistrust. Frances loves shopping for clothes, but considering the state of the economy, she has decided to start saving. At the end of each year, she will deposit $700 in her local bank, which pays her 9% annual interest. Frances decides that she will continue to do this for the next 5 years. Francess savings are an example of an annuity. How much will she save by the end of 5 years, rounded to the nearest whole dollar? Need help with spanish 3!!Instructions: Seora Gutirrez is giving more instructions to her son, Juanito. Fill in the blank with the informal (t) command form of the most logical verb ActiveEvaluating Cause and EffectWhich cause-and-effect relationship relates to the theme "It is important to be who you are and not try to besomeone else"?beCause: Alfonso got his bike fixed. Effect: He could take Sandra on a bike ride.O Cause: Alfonso tried to scare Sandra. Effect: She fell in love with him.Cause: Alfonso overcame insecurity. Effect: He went out with Sandra.Cause: Alfonso took Sandra on his bike. Effect: They almost got into an acc part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each please help me out, and find the volume i dont know how to do this, if you can please explain how to do it as well What caused the Confederates to surrender at Vicksburg?A) The Union army drove them away.B) A general was killed in the attack.C) They ran out of food and bullets. I cant do simple math please help :) which word is a synonym for gain? Find the equation of the exponential function represented by the table below:X0123Y41664256Y= ?