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Housing prices in a small town are normally distributed with a mean of

$142,000 and a standard deviation of $7. 0. Use the empirical rule to

complete the following statement.

Approximately 95% of housing prices are between a low price of

$ Ex: 5000 and a high price of $

Modul Three Assignment Gui.

4. 2. Normal distribution - Goog.

Answers

Answer 1

By standard deviation, 68% housing price are between a low price of $135000 and a high price of $149000.

What is standard deviation in math?

The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean.

                           A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.

Given,

         mean (μ) = 142000

  standard deviation (σ ) = 7000

 By using empirial rule,

                    P( μ - σ ≤ X ≤ μ + σ ) ≈ 68%

   Then,

             P(142000 - 7000 ≤ x ≤ 142000 + 7000 ) ≅ 68%

    P( 135000 ≤ x ≤ 149000 ) ≅ 68%

   

68% housing price are between a low price of $135000 and a high price of $149000.

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Related Questions

write days in May to days in a year as a ratio.

Answers

Answer:

Step-by-step explanation:

Days in may = 31

Days in a year = 365

therefore, expected ratio = 31/365

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.

If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?

Answers

2a+b=15.7 is the formula used to get the base's length and b has a value of 3.

What is an isosceles triangle?

Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and Skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.

An isosceles triangle has 2 equal sides that are longer than the length of the base

perimiter=15.7

equation is 2a+b=15.7

so if the longer side is 6.3

we know that identical sides are bigger so 6.3 is one of the identical sides

2a means the 2 identical sides

2(6.3) + b = 15.7

12.6 + b = 15.7

subtract 12.6 from both sides

b = 3.1

therefore, The equation used to find the length of the base is 2a+b=15.7

and the value of b is 3.1

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Answer:

12.6 + b = 15.7

Explain how the quotient was determined.

Answers

Because it started with one at the end and the other numbers didn’t matter because of that because the eight was small so you are multiplying by one but anything by one will always be one

HELP PLEASE!!!
b) What if you triple the diameter of a circle. What happens to the area?
Explain using examples.

Answers

The area will be equal 9 times more than the original circuit

can someone please help with this question i’ve been stuck on it for an hour thanks

Answers

Answer:

110° and 215°

Step-by-step explanation:

to measure the bearing from one point to another

the bearing is measured clockwise from a north line.

(a)

clockwise from the north line N at C to D is 110°

(b)

clockwise from the north line N at C to D is 215°

A circular flower garden has a diameter of 16 feet. At the center of the garden is a circular pool 5 feet in diameter. If a coin is tossed at random into the garden, what is the probability that the coin will land in the pool.

Answers

Answer:

0.0977

Step-by-step explanation:

From the question,

A = πR²...................... Equation 1

Where A = Area of the circular flower garden, R = Radius of the circular flower garden.

Also,

A' = πr²..................... Equation 2

Where A' = Area of the circular pool, r = radius of the circular pool.

If a coin is tossed at random into the garden, the probability that the coin will land in the pool is

Pr = Area of the pool(A')/Area of the garden(A)

Pr = A'/A....................... Equation 3

Substituting equation 1 and 2 into equation 3

Pr = πr²/πR².

Pr = r²/R².................... Equatio 4

Given: R = 16/2 = 8 feet, r = 5/2 = 2.5 feet.

Substitute these values into equation 4

Pr = 2.5²/8²

Pr = 6.25/64

Pr = 0.0977

5x6+78-12
help please

Answers

Answer:

96

Step-by-step explanation:

5 x 6 = 30

78 - 12 = 66

5 x 6 + 78 - 12

= 30 + 66

= 96

Answer:96

Step-by-step explanation:

Write the place value and value of each digit of the decimals 6905.327 also write its name and expanded form

Answers

Answer:

6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000

six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths

Step-by-step explanation:

right!!!

A reading teacher recorded the number of pages read in an hour by each of her
students. The numbers are shown below.
44, 49, 39, 43, 50, 44, 45, 49, 51
For this data, which summary statistic is NOT correct?
1.The minimum is 39.
2.The median is 45.
3.The lower quartile is 44.
4.The maximum is 51.

Answers

The answer is 1 hope this helps

giving 100 pts/ brainliest!! please help this is due in 20 minutes


Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
What is the system that models this situation?
Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.

Answers

Answer:

p + m = 5, p + 0.2m = 0.6(5)2.5 lb peanuts; 2.5 lb almond mix

Step-by-step explanation:

You have peanuts and an 80-20 almond-peanut mix, and you want to know how many pound of each are needed for 5 lb of a 60% peanut mix.

System of equations

The system of equations relating the pounds of peanuts (p) and the pounds of almond mix (m) will describe the total mixture weight, and the weight of the peanuts.

  p + m = 5 . . . . . . total mixture weight is 5 lb

  p + 0.20m = 0.60(5) . . . . . weight of peanuts in the 60% peanut mix

Solution

We can subtract the second equation from the first to eliminate the variable p:

  (p +m) -(p +.2m) = (5) -(.6)(5)

  0.8m = 0.4(5) . . . simplify

  m = 2.5 . . . . . . . . divide by 0.8

  p = 5 -m = 2.5

The solution to the system is 2.5 lb peanuts and 2.5 lb mixture.

What is the solution of the system of equations y =- 2x 8 y x 4?

Answers

The solution of the system of equations y =0 x=4

To solve the system of equations, we must set the two equations equal to each other and solve for x.

y = -2x + 8

y = x - 4

We start by subtracting the second equation from the first equation.

-2x + 8 = (x - 4)

We then add 4 to both sides of the equation.

-2x + 12 = x

We then subtract 12 from both sides of the equation.

-3x = -12

Finally, we divide both sides of the equation by -3.

x = 4

Now that we have solved for x, we can substitute 6 for x in either equation and solve for y.

y = -2(4) + 8

y = -8 + 8

y = 0

Therefore, the solution of the system of equations is (4, 0).

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The complete question:

What is the solution of the system of equations  y= -2x + 8 and y = x - 4?

h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does hhh have a negative average rate of change?

Answers

The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
h(x) = x² - 1

Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).

Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

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3.
Which expression is equivalent to 0?
A. O a+(-a)
B.O a-(-a)
C. (a)(-a)
D.

Answers

A. a + ( - a)

Because it’s the same thing as: a - a

And if you plug in any value for example:
2 - 2 that would be 0

If 25% of a number is 20 and 60% of the same number is 48, find 85% of that number

Answers

Answer:

68

Step-by-step explanation:

25% of a number is 20, where the number is 80 because 25% times 4 is 100% and 20 times 4 is 80.

We can check by doing 60% of 80 to see if it is 48. Instead of 60%, we can do 10% of 80, which is 8. Since we divided by 6, we multiply 8 by 6 which is 48.

Since we know 80 is the number, we have to find 85% of 80. First, let's find 5% of 80, which is 4 since 4 x 20 is 80 and 5% x 20 is 100%. Now, 85 divided by 5 is 17, let's multiply 17 by 4 to get 85% of 80. 17 x 4 is 68 which is 85% of 80.

A loan of $9,000 has an annual simple interest rate of 3.5%. What would be the simple interest rate if a loan of $9,000 that is repaid in 6 years has a total cost of $11,052?

Answers

Answer: 3.8%

Step-by-step explanation:

First find the interest cost:

= Amount repaid - Amount borrowed

= 11,052 - 9,000

= $2,052

This cost is the simple interest and because it is the same figure per year, the annual simple interest can be determined by dividing the above by the number of years:

= 2,052 / 6

= $342

Now that we have the simple interest amount, divide it by the amount borrowed to find the rate:

= 342 / 9,000

= 3.8%

Is the Z or Y axis vertical?

Answers

Answer:

yes!

Step-by-step explanation:

the y axis vertical, and the x axis is horizontal!

Factor.
2x² - 5xy - 3y^2

Answers

Answer:

2x² - 5xy - 3y²= (2x+y)(x-3y)

can i have brainliest please

What are the top 5 formulas in math?

Answers

According to the use and the fundamental knowledge behind these formulas, The top 5 formulas in mathematics are quadratic, Pythagorean , slope-intercept , exponential and Euler's Formula.

What is mathematics?

Mathematics is the study of numbers, shapes, and patterns. It is the science of studying the properties and relationships of quantities and shapes using logic, symbols and mathematical operations. It is a way of understanding the world and solving problems using quantitative reasoning.

What do you mean by formula?

A mathematical formula is a set of symbols, numbers and mathematical operations that express a relationship or equation. These formulas are used to model, describe and explain phenomena in the natural and physical world, as well as in abstract mathematical theories. Formulas can take many forms, including equations, identities, and inequalities. They allow us to make predictions and calculations, and can be used in various fields of science, engineering and other fields to solve problems.

1. root of [tex]ax^2+bx+c[/tex] is [tex]x= \frac {-b+- \sqrt{b^2-4ac}}{2a}[/tex].

2.[tex]h^2 = p^2 +b^2[/tex]

3. [tex]y =mx+c[/tex]

4.[tex]e^x[/tex]

5.[tex]e^{ix} = cosx+isinx[/tex]

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Sarah and Bryan went shopping and spent a total of $47.50. Bryan spent $15.50 less than Sarah spent. How much did Bryan spend?

Answers

Answer: 16

Explanation: Brian + Sarah = 47.50

B + (B + 15.50) = 47.50


2B + 15.50 = 47.50


2B = 47.50 - 15.50 = 32 ====> N = 32/2 = 16.

Easy Points !!✅

Casey’s starting balance was $922.36. He had $256.71 in deposits and $1,317.24 in debits. What is his ending balance ?

Answers

Since starting balance is $922.36 and she deposits $256.71 and then debits $1317.24. Ending Balance will be 922.36+256.71-1317.24=$138.17 in debt.

Deposits? What do you mean?

You make a deposit when you add money to your bank account. To build savings and earn interest, you should put money in a bank. For money you can withdraw at any time, a demand deposit is made. A time deposit is an investment for the long term. When you take out a loan, you might also pay a deposit as collateral.

Debit and credit mean what?

In double-entry bookkeeping, debits and credits are entries made in account ledgers to record value changes brought on by business transactions. A credit entry represents a value transfer from the account, whereas a debit entry represents a transfer of value to the account.

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find Angles in isosceles triangles

Answers

Step-by-step explanation:

[tex]\sf \hookrightarrow \: x + x + 88 = 180 \\ \sf \hookrightarrow \: 2x +88 = 180 \\ \sf \hookrightarrow \: 2x = 180 - 88 \\ \sf \hookrightarrow \: 2x = 92 \\ \sf \hookrightarrow \: x = \frac{92}{2} \\ \sf \hookrightarrow \: x = 46[/tex]

Answer:

46 degrees

Step-by-step explanation:

Sum of interior angles of a triangle is 180,

x + x + 88 = 180

2x + 88 = 180

2x = 180 - 88

2x = 92

x = 92 / 2

x = 46 degrees

Find the surface of the prism.

Answers

Answer:

520 yd^2

Step-by-step explanation:

The prism is a rectangular prism

2 * (14 * 5) + (5 * 10) + (14 * 10)= 520

Answer: 520 yards squared

Step-by-step explanation: The surface area is basically the area on every surface. So it’s (14x10)x2 + (14x5)x2 = 520 yards squared. Hope it helped! :)

A bedroom (14 ft by 12 ft) and hallway (9 ft by 3 ft) are getting new wood flooring. Wood flooring is priced at $6.00 per square foot. How much will it cost to add the wood flooring? It will cost $for the flooring.

Answers

Answer:

about 20 feet

Step-by-step explanation:

Answer:

$1170

Step-by-step explanation:

Find the x value of x. If necessary round to the nearest tenth. A=49sq.in.

Answers

Answer:

[tex]9.9 ~in[/tex]  ✔︎

Step-by-step explanation:

[tex]A=1/2 ~ base * height[/tex]

[tex]49=1/2(x)(c)[/tex]

[tex]98=x^2[/tex]

[tex]x=\sqrt{98}[/tex]

[tex]x=7\sqrt{2}[/tex]

[tex]x=9.9[/tex]

༄❁༄❁༄❁༄❁༄

hope it helps...

have a great day!!

What is the first month in which the board will see the cumulative total number of cars shipped to Japan exceeded the cumulative total in Vietnam

Answers

The cumulative total in Vietnam j(n) is 23(n-1),cumulative takes into account all data up to the present. In month four, j(n) will be worth more than v(n).

Is the sum the same as the total?

The distinction between total and cumulative is that total refers to the entirety of something, whereas cumulative takes into account all data up to the present.

When a new number is added to a series of numbers, the running total is updated by adding the new number's value to the previous running total. Partially sum is another name for it. Running totals serve two distinct objectives.

We take it for granted that you mean that vehicles delivered to Vietnam should be modeled by v(n) = 5 + 11 and those sent to Japan by j(n) = 23(n-1).

In month four, j(n) will be worth more than v(n).      

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Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter.

Both dollhouses have a rectangular prism base with a length of 6 inches, width of 6 inches, and height of 5 inches. Dollhouse 1 has a triangular prism top. The triangular base has a base of 6 inches and height of 4 inches. The prism has a height of 6 inches. Dollhouse 2 has a square pyramid top with a base of 6 inches by 6 inches and height of 4 inches.

Which statements are true about the dollhouses? Select three options.
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

Answers

Answer:

Step-by-step explanation:

A B D

Answer:

Its A,B,D

i got them right on the quiz :)))

Which is a possible benefit of having a good credit history?

Answers

Answer:

When you have a good credit score, you're more likely to meet lending approval guidelines and borrow money when you need it most, explains McClary. This can help if you're ever in a pinch and need to open a credit card. You're more likely to qualify for a 0% APR card like the Citi Simplicity® Card.

Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. What may be true
B. What must be true
C. None of these
D. What may be false
k

Answers

The correct option is B.Because when i use deduction and start from a given set of rules and condition is what must be true.If you analyze it to be true then it must be definitely true.

What is deduction in math?

Deduction is a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in a mathematical argument. For example to solve 2x = 6 for x we divide both sides by 2 to get 2x/2 = 6/2 or x = 3.

What is deduction rule in logic?

In mathematical logic a deduction theorem is that justifies doing conditional proofs—to prove an implication A → B, assume A as an hypothesis and then proceed to derive B—in systems that do not have an explicit inference rule for this.

Now we able to know

Deduction is a term used to known as validated principle.This is when you analyze points through logic from a given set of rules and condition.

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A population of 40 foxes in a wildlife preserve quadruples in size every 13 years. The function y=40•4x​, where x is the number of 13​-year ​periods, models the population growth. How many foxes will there be after 26 ​years?

Answers

Answer:

640

Step-by-step explanation:

y = 40(4)^x

x = 26/13 = 2

y = 40(4)^2

y = 40 (16)

y = 640

Please help fast
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second. The height h, in feet, of the rock t seconds after it was thrown can be modeled by the function h(t)=-16t^2 +96t+40. Find the height of rock 4 seconds after it was thrown.

Answers

The height of rock 4 seconds after it was thrown is 168 ft.

What is speed?

Speed is measured as distance moved over time.

Speed = Distance/ Time.

Here, given that,

we have

a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second.

The height h, in feet, of the rock

t seconds after it was thrown can be modeled by the function

h(t)=-16t^2 +96t+40.

where

h -----> is the height in feet of the rock

t -----> the time in seconds

For , t=4, we get,

substitute the value of t in the function and find the value of h

h(4)=-16×4^2 +96×4+40.

So, h= 168

Hence, the height of rock 4 seconds after it was thrown is 168 ft.

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