A set of bicycle prices are normally distributed with a mean of 300 dollars and a standard deviation of 50 dollars.
A sports bicycle has a price of 380 dollars.
What proportion of bicycle prices are lower than the price of the sports bicycle?
You may round your answer to four decimal places.​

Answers

Answer 1

Answer:

0.9452

Step-by-step explanation:

Answer for Khan academy

Answer 2

The proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

What is Z -score?

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

We can start by standardizing the sports bicycle price using the formula:

z = (x - μ) / σ

where x is the sports bicycle price, μ is the mean, and σ is the standard deviation.

Substituting the values, we get:

z = (380 - 300) / 50 = 1.6

Now, we can use a standard normal distribution table or calculator to find the proportion of values below 1.6.

From the z-table, we find that this proportion is approximately 0.9452.

Therefore, the proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

Learn more about the z-score here:

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Related Questions

The probability that Terry buys a sandwich is 0.4.
The probability that Terry gets the bus is 0.6.
Assuming the events are independent, what is the probability that Terry buys a sandwich and gets the bus?

Answers

0.4 * 0.6 this gives

0.24

Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment

Answers

Answer:

24%

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

t = ???

P = 2,200

I = 528

r = 12%

528 = 2,200(t x 1)

t = 528/2,200

t = 0.24

t = 0.24 x 100 = 24%

You're welcome.

every natural number is a whole number why?

Answers

Answer:

Step-by-step explanation:

0 is whole number and 1 is natural number they both end in infinity. So there is only 0 in whole number but not in natural number.thats why every natural number is whole number

Natural numbers are the counting

numbers and they are always positive.

The set of natural numbers begin at 1 and go on indefinitely.

The natural numbers look like {1, 2, 3, 4, 5, ...}.

When we include 0 in the set of natural numbers, the new set,

{0, 1, 2, 3, 4, ...} is called the set of whole numbers.

Notice that all natural numbers are

included within the set of whole numbers.

We can represent the relationship between these

two sets of numbers using a diagram.

The bigger circle below represents the set of whole numbers

and all natural numbers will appear within the set of whole numbers.

In summary, natural numbers are the same as whole numbers except for the fact that whole numbers include 0.

When multiplying two negative integers what is the sign of the product positive negative zeroor one PLEASE. ANSWER.

Answers

Multiplying a negative number by a negative number will give you a positive product.

When multiplying two negative integers, it comes out as positive.

For example, we are given the equation -4 * -4.

Using the rule [ -(-a) = a ], the answer for the equation is 16.

Best of Luck!

Write an equation to solve for the value of x. What is the value of x in the figure shown?

Answers

Answer:12

Step-by-step explanation:37=3x+1

please answer my question −4y−4+(−3)

Answers

Answer:

-4y - 7

Step-by-step explanation:

−4y−4+(−3)

Combine like terms

-4y - 7

Answer:

5

Step-by-step explanation:

y= 4+ 4 - 3

I'm am like, really serious. WHO THE FREAK IS JOE?

Answers

Answer: My momma of course

Step-by-step explanation:

A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can a car travel using 1 gallon of gas?

Answers

Answer:

16 miles

Step-by-step explanation:

In order to find one gallon of gas, you multiply the 64 by 1/64 which will get you to 1 whole. Now you multiply the 64 by the 1/4 miles which will give you 16 miles.

Can someone pls help me ASAP!

Answers

Answer:

what type of math is it?

Step-by-step explanation:

Answer:

y=x-2

Step-by-step explanation:

the equation for slope intercept is y=mx+b, where m is the slope and b is the y intercept. The y intercept is -2, (where the line comes in contact with the x axis) and the slope is determined from the equation y2-y1/x2-x1 (rise over run) With this, we can see the slope is 1. hope this helps

A football team has P points.

P = 3W + D

W is the number of wins

D is the number of draws

If a team has 53 points from 33 games, with 11 draws, how many games did the team lose

Answers

Answer:

They must have lost 19 games.

Step-by-step explanation:

If you plug in 53 into the equation, you get 53 = 3w + 11. You subtract 11 from both sides, resulting in 42 = 3w. You divide 3 from both sides this time, resulting in 14 = w. Since W is the number of wins, and you're trying to figure out games lost, you subtract 14 from the number of games played, so 33-14 is equal to 19.

Perimeter of a square is (12x-2y). What is the algebraic expression for the length of the side of the square?

Answers

Answer:

s = 3x - (1/2)y

Step-by-step explanation:

The perimeter of a square is 4s, where s is the side length.  Here,

12x - 2y = 4s, and so s = 3x - (1/2)y


What is the slope of the line?

Answers

Zero depending on what axis it’s on

Answer:

It is the change in y for a unit change in x along the line.

5x + 9 equals 2x + 12. What is the value of x?

Answers

Answer: x = 1

Step-by-step explanation: When we have this kind of setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.

So first, let's put our variables together on the left side

by subtracting 2x from both sides of the equation.

That gives us 3x + 9 = 12.

Now we can move our numbers to the right by

subtracting 9 from both sides and we get 3x = 3.

Now divide both sides by 3 and x = 1.

A student has an allowance of $20 a week. He wants to buy lunch at school for $3.50 everyday. Does this student have enough money to buy lunch for the week?

Answers

Answer:

no

Step-by-step explanation:

in a 7 day week, he would need $24.50

No, $20 is not enough to buy lunch for a week.

What is comparison?

Comparing numbers in maths, defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.

Given that, A student has an allowance of $20 a week. He wants to buy lunch at school for $3.50 every day.

Since, there is off on Sundays in a school, so we will consider 6 days in week.

3.50x6 = 21

That means he need $21 to buy lunch for the week

21>20

Hence, $20 is not enough to buy lunch for a week.

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Help me pleaseeee:
Ravi wants to earn at least 569 trimming trees. He charges $8 per hour and pays $3 in equipment fees. What are the possible numbers of hours Ravi could trim
trees?
Use t for the number of hours.
Write your answer as an inequality solved for t
PLEASE HELP ME!!

Answers

Answer:

8t+3>569

Step-by-step explanation:

i think this is right

Answer:

8t-3 ≥ 569.

Step-by-step explanation:

'T' represents the number of hours.

'-3' represents the amount paid for equipment fees.

When solved, we get:

8t ≥ 572

t ≥ 71.5 hours.

Please solve for x. I need this answered.

Answers

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

Answer: Any x is a solution.

Answer:

2.5x - 3 + 2x = 1.75x - 1.25x + 13

4.5x - 3 = 0.50x + 13

4.0x = 16

x = 4

Answer: 4

2. We'll assume those xs are in the numerator

(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1

(6/7)x - 1/4 = (6/7)x  - 1/4

0 = 0

That's always true.

Please help with this

Answers

Answer:

C

Step-by-step explanation:

A quadratic function can be defined as a function where the highest degree or exponent is 2. Since option B has a zero in front of the x squared, it is not a quadratic function because 0 times anything is zero. Therefore, the only other option with an exponent of 2 is C.

Hope this helped! :D

Please help!

The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.

Match the equation for how to solve for the side length of a square to its description.

Answers

Answer:

s = [tex]\sqrt{81\\[/tex] in.

Step-by-step explanation:

The last two answer don't fit into the given equation, leaving the first two.  For the first one, you do not use the square root of a number that is being squared. That's like saying you're going to fix a car, but the car is just fine and doesn't need fixed.

If you're at all curious about what the square root of 81 is, it's 9.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

[tex] s = \sqrt{81} \: in[/tex]

Step-by-step explanation:

[tex]\because A = s^2 \\ \therefore \: s = \sqrt{A} \\ \therefore \: s = \sqrt{81} \: in[/tex]

Help me please help me thank you

Answers

Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I

Step-by-step explanation:

8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.

9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.

10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So,  b will also equal 70 degrees.

Part B:

1. G

2. J

3. F

4. E

5. B

6. A

7. H

8. C

9. D

10. I

Dghgfty is my morning time for

I’m not sure what the answer is

Answers

Answer:24200

Step-by-step explanation:

I=PxRxT

20000x.07x3=4200

20000+4200=24200

What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?

Answers

Answer:

-3/2

Step-by-step explanation:

We can find the slope between two points using

m = (y2-y1)/(x2-x1)

  = (-7 - -1)/(5 - 1)

  (-7+1(/(5-1)

  -6/4

  -3/2

Answer:

4

Step-by-step explanation:

i did khan :)

Taylor read 32 pages on Monday. On Tuesday, she read twice as much as she read on Monday. On Wednesday, she read 14 fewer pages than she did on Tuesday. How many total pages did Taylor read during the three days?

Answers

Answer:

Taylor read 146 pages during these three days.

Step-by-step explanation:

32 pages on Monday.

On Tuesday twice, as much as Monday. So 2*32 = 64 on Tuesday.

On Wednesday, 14 less pages than Tuesday. 64 - 14 = 50. So he read 50 pages on Wednesday.

How many total pages did Taylor read during these three days?

32 + 64 + 50 = 146

Taylor read 146 pages during these three days.

A collar of Styrofoam is made to insulate a pipe. Find it's volume. That large R is to the outer rim. The smaller r us to the edge of the insulation. Use pi=3.14

Answers

Answer:

the volume of the pipe is 649.98 cubic inches.

Step-by-step explanation:

We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.

We will use volume of hollow cylinder formula to solve our given problem.

[tex]\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h[/tex]

where,

R = Radius of external cylinder,

r = Radius of internal cylinder.

h = Height of cylinder.

substituting our given values in above formula, we will get:

[tex]\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3[/tex]

Therefore, the volume of the pipe is 649.98 cubic inches.

how can i describe the expression 3x−2
please help

Answers

Answer:

Step-by-step explanation:

3X-2=0

3X=2

X=2/3      OR    X=0.66

Answer:

so -2 is the constant(integer without any variable) and 3 is the coefficient(what the variable is being multiplied by) and x is the variable(the unknown term)

we can't solve/simplify this expression since

a) it's an expression, it's impossible to solve since there's no equal sign

b)there are no like terms to simplify this

I was wondering what the surface area was. for this prism?

Answers

Answer:

392 units^3

Step-by-step explanation:

What you are using is a "net." The net of a solid figure is formed when a solid figure is unfolded along its edges and its faces are laid out in a pattern in two dimensions.  Nets of rectangular prisms are made up of rectangles and squares

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

For this problem, it would be the area of one triangle times two (since there are two) and the area of a rectangle times 3 (since there are three rectangles). Let's start with the triangles...

Triangles

The formula for area of a triangle is 1/2bh. The base is 8 and the height is 4, so 8*4 = 32/2 = 16. Now 16 *2 = 32, meaning that the combined areas of the triangles is now 32.

Let's try rectangles...

Rectangles

The formula for area of a rectangle is simply bh. Base is 8, height is 15, meaning the product is 120. Multiply by 3 and you get 360. The combined areas of the rectangles is now 360.

Now add the two values for the surface area:

360 + 32 = S.A. = 392 units^3

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Suppose you are going to draw two cards from a standard deck without replacement. What is the probability that the first card is an Ace and the second card is a Jack?

Answers

Answer:

4/663

Step-by-step explanation:

1/13 = probability of ace (as 1st card)

4/51 = probability of jack (as 2nd card) -->

4/663

The probability that the first card is an Ace and the second card is a Jack without replacement will be 0.00603318 or 4/663.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also known as chance because, if you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.

In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.

Without replacement will be dependent events.

Probability of dependent events

P(A and B) = P(A) × P(B/A).

Probability of the first card as  Ace = 4/52 ( 4 are Aces out of 52 cards)

Probability of the second card as jack = 4/51 ( since 1 ace has been removed)

P( Ace and Jack ) =  4/52 ×  4/51 = 4/663 = 0.00603318

Hence the probability that the first card is an Ace and the second card is a Jack will be 0.00603318.

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3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?​

Answers

Answer:grjjrd

Step-by-step explanation:fdfgdjj

Can someone please help

Answers

Answer:

1. 24 ft

B. 2

3. 150

4. 34

5. 864

6. 1925

7. 480

8. 22440

Step-by-step explanation:

The first one is 24 ft

7/2x + 1/2x = 22 + 9/2

Answers

Answer:

[tex]x = \frac{53}{8} [/tex]

alternative form:

[tex]x = 6 \frac{5}{8} \: or \: x = 6.625[/tex]

Step-by-step explanation:

[tex] \frac{7}{2} x + \frac{1}{2} x = 22 + \frac{9}{2} \\ add \: \frac{7}{2}x \: to \: \frac{1}{2} x \\ \\ 4x = 22 + \frac{9}{2} \\ add \: 22 \: to \: \frac{9}{2} \\ \\ 4x = \frac{53}{2} \\ divide \: both \: sides \: by \: 4 \: \\ \\ x= \frac{53}{8} [/tex]

Which equivalent fraction for 2/3 is? Can someone plz help me

Answers

Answer:

the answer is 4/6 or 6/9

Other Questions
See the question above.A)96 ft2B)24 ft2C)48 ft2D)38 ft2 Read the excerpt from Roll of Thunder, Hear My Cry.In the darkness there was a low sob and T.J., hardly sounding like T.J., mumbled, "They the ones got me in it. Where's the bed? I gotta sit down."In the darkness he groped for the bed, his feet dragging as if he could hardly lift them. "I ain't no bed!" I exclaimed as his hands fell on me.Which words from the excerpt best help the reader determine a tone of distress?"exclaimed," "hands," and "feet""sob," "groped," and "dragging""darkness," "bed," and "lift""sounding," "sit," and "aint" Coal contains carbon and other elements. Carbon dioxide forms when coal burns in the presence of oxygen. Which of these is the best evidence that a chemical reaction occurs when coal burns? Select one: A new substance is produced. Coal is made up of more than one element The shape of the coal changes. Oxygen is present. Plane P cuts sphere o in a circle that has diameter20. If the diameter of the sphere is 30, how far is theplane from O? Which sentence is an example of a fused sentence?O Caroline walks to school every day, it doesn'tmatter to her what the weather is like,O Her brother Tito is always running late he hits theSnooze alarm too many times,O Caroline never waits for him, and he has to run tocatch upO She doesn't like to be late for school, Please help with math picture below Hitler invaded the Soviet Union to _____________. a. expand his territory c. get closer to defeating the British b. obtain resources d. all of the above Which inference can be made from this excerpt?studyingElla did poorly on her test.Ella is looking at a biology test.Ella should have studied more.Ella did well on her test. -The Brown vs Board of Education decision ended what? Enter a number in the box to make this a true number sentence.5*(6 - 4) = (5x6) -(5x__) Which of these is true of Mesoamerica?AA single empire ruled for thousands of years.BThree major empires ruled.CSlavery was never legalDThere was no farming. Find all roots of y=x^3-64 For each sentence in the paragraph box below, replace the blank with an adjective that tells "how many."1. ____ plants survived the cold weather. 2. She needed ____ people to volunteer. 3. In the aquarium were ____ fish. 4.The Arctic has been explored by ___ people. 5. I saw ____ camels at the circus. Kohlberg only used men in his interviews. Do you think men and women would answersome of these questions differently? Why? Explain your answer. How many solutions does the equation 2a + 2a + 7 = 8 have? One Two None Infinitely many If an organism is known to have 38 chromosomes in each body cell,how many chromosomes will each new gamete have after meiosis? Why do story titles often come last?A. The title is one of the least important aspects of the story.B. The story and the title are not strongly connected with each other.C. The editor, not the writer, is the one who usually chooses the title.D. The writer needs to understand the story before deciding on a title. Choose whether the statements below are true or false Why is it important for Scientists to develop a way to grow tissues that have built- in system to supply blood? King Louis XVI's life can best be described asA simpleB underprivilegedC lavishD ordinary