Sale Price of Homes The average sale price of new one-family houses in the United 5 tates for a recent year was $246,800. Find the range of values in which at least 75% of the sale prices will lie if the standard deviation is $45,900. Found your k to the nearest whole number. The range of values is between S and 5

Answer:

d) 16 + 56

Step-by-step explanation:

The simplest way to get the sum is to distribute 8 into 2 and 7 which is the same thing as multiplying to the two numbers in the parentheses.  Your sum should be 16 + 56 when multiplied.

Answer:

80-5{9-(14-12)}÷5

=80-5{9-2}÷5

=80-5×7÷5

=80-5×1.4

=80-7

=73

The simplified answer is 69.

BODMAS is an acronym and it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.

Given:

80-5{9-(14-12)}÷5​

Now, using BODMAS we have

80-5{9-(-2)}/5

Again solving bracket

80-5{9+2}/5

80-5(11)/5

Now, perform division

80 - 11

lastly, addition

69

Hence, the simplified answer is 69

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Each person in the village would have approximately 6.47 gallons of water per day if every gallon went to domestic use.

1. To calculate the number of gallons per day per person at the well for a village with a population of 850, we can divide the total amount of water produced by the number of people.

Total amount of water produced per day: 5,500 gallons

Population of the village: 850 people

Gallons per day per person = Total amount of water produced per day / Population

Gallons per day per person = 5,500 gallons / 850 people

Gallons per day per person ≈ 6.47 gallons

Therefore, each person in the village would have approximately 6.47 gallons of water per day if every gallon went to domestic use.

2. The comparison to 0.5 gallons of water per day accessible in some areas of the world highlights the significantly higher water availability in the village with the nonprofit's well. With approximately 6.47 gallons per day per person, the village has access to a much greater amount of water for domestic use compared to areas where only 0.5 gallons per day is accessible.

3. Compared to the average water usage of 80-100 gallons per day by the average American, the amount of water produced by the well (6.47 gallons per day per person) is significantly lower. This difference emphasizes the substantial variation in water consumption between developed regions like the United States and communities in need of access to water, where resources are limited.

4. If you only had the amount of water calculated in question one (6.47 gallons) to use each day, it would be crucial to prioritize water usage for essential needs. This might include drinking, cooking, personal hygiene, and basic cleaning. Conservation practices would also be necessary to make the most efficient use of the limited water supply.

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The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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Step-by-step explanation:

3x+5>-10

3x-5+5>-10-5

3x>-15

x>-15/3

x>-5

Answer:

m = 2

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

P = (-5, 2)   Q = (-3, 6)

We see the y increase by 4 and x increase by 2, so the slope is

m = 4/2 = 2

Answer:

The first answer should be the 3rd one.

The second answer should be the first one.

Step-by-step explanation:

Answer:

first one: C

second one: A

Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

1. quotient

2.remainder

3. a factor

4. 5

Step-by-step explanation:

i just took the test

The expression (x + 5) is a factor of given function f(x).

So the remainder of the function will be zero.

The given function is,

                      \(f(x) = x^3 + 3x^2 - 25x - 75\)

We have to check (x + 5) is a factor of the given function.

Equate (x + 5) is equal to 0.

           x + 5 = 0

                 x = -5

Substitute x = -5 in given equation.

          \(f(-5)=(-5)^3+3(-5)^2-25(-5)-75\\\\f(-5)=-125+75+125-75\\\\f(-5)=0\)

Since f(-5) = 0. Therefore, (x + 5) is a factor of given function f(x).

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As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

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Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

As the interest rate increases from 10 percent to 11 percent, the present value of the bond decreases from $1,074.47 to $1,058.31. Conversely, when the interest rate decreases to 9 percent, the present value increases to $1,091.19. This is because the discount rate used to calculate the present value is inversely related to the interest rate, meaning that as the interest rate increases, the present value decreases, and vice versa.

To compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000, we need to discount the future cash flows (coupon payments and face value) by the appropriate interest rate.

Step 1: Calculate the present value of each coupon payment.
Since the bond has a 10 percent coupon rate, it pays $100 (10% of $1,000) annually. To calculate the present value of each coupon payment, we need to discount it by the interest rate.

Using the formula: PV = C / (1+r)^n
Where PV is the present value,

C is the cash flow,

r is the interest rate, and

n is the number of periods.

At an interest rate of 10 percent, the present value of each coupon payment is:
PV1 = $100 / (1+0.10)^1 = $90.91

Step 2: Calculate the present value of the face value.
The face value of the bond is $1,000, which will be received at the end of the fifth year. We need to discount it to its present value using the interest rate.

At an interest rate of 10 percent, the present value of the face value is:
PV2 = $1,000 / (1+0.10)^5 = $620.92

Step 3: Calculate the total present value.
To find the present value of the bond, we need to sum up the present values of each coupon payment and the present value of the face value.
Total present value at an interest rate of 10 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,074.47

When the interest rate goes to 11 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 11 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,058.31

When the interest rate goes to 9 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 9 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,091.19

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a. the probability that a randomly selected candy weighs more than 0.8537 g is approximately 0.5062.

b. the probability that a sample of 458 candies will have a mean weight of at least 0.8537 g is approximately 0.4920.

a. To find the probability that a randomly selected candy weighs more than 0.8537 g, we can use the z-score and the standard normal distribution.

Given:

Mean weight (μ) = 0.8545 g

Standard deviation (σ) = 0.0517 g

We need to find the probability P(X > 0.8537), where X is the weight of a randomly selected candy.

First, let's calculate the z-score for 0.8537 g:

z = (x - μ) / σ

z = (0.8537 - 0.8545) / 0.0517

z ≈ -0.0155

Using the standard normal distribution table or a calculator, we can find the probability corresponding to a z-score of -0.0155, which is approximately 0.5062.

Therefore, the probability that a randomly selected candy weighs more than 0.8537 g is approximately 0.5062.

b. To find the probability that a sample of 458 candies will have a mean weight of at least 0.8537 g, we need to calculate the sampling distribution of the sample mean.

Given:

Sample size (n) = 458

Mean weight (μ) = 0.8545 g

Standard deviation (σ) = 0.0517 g

The sample mean follows a normal distribution with the same mean as the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size (σ/√n).

Standard deviation of the sample mean (σ/√n) = 0.0517 / √458 ≈ 0.002415

To find the probability P(\(\bar{X}\) ≥ 0.8537), where \(\bar{X}\) is the mean weight of the sample of 458 candies:

Using the z-score formula:

z = (\(\bar{X}\) - μ) / (σ/√n)

z = (0.8537 - 0.8545) / 0.002415

z ≈ -0.0331

Using the standard normal distribution table or a calculator, the probability corresponding to a z-score of -0.0331 is approximately 0.4920.

Therefore, the probability that a sample of 458 candies will have a mean weight of at least 0.8537 g is approximately 0.4920.

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Answer:

y = 3x + 7

Step-by-step explanation:

As we move from (2, 13) to (5, 22), x (the "run") increases by 3 and y (the "rise") increases by 9.  Thus, the slope, m, must be m = rise / run = 9/3, or 3.

Then we have y = 3x + b and must find b.  Subbing 2 for x and 13 for y, we get

13 = 3(2) + b, so that b must be 7.

The desired equation is y = 3x + 7.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

x < 4

x ≥ - 2

Step 02:

system of linear inequalities:

x < 4:

x = 4 ===> vertical line

x ≥ - 2:

x = - 2 ===> vertical line

graph:

The answer is:

Unbounded

The graph will have a shape similar to an "S" curve, starting from negative infinity, passing through x = -7, touching the x-axis at x = 0 (with multiplicity 3), and crossing the x-axis at x = 1, then increasing towards positive infinity.

To find the graph of the polynomial f(x) = 2(x-1)(x^3)(x^7), let's analyze its key features and sketch the graph.

Zeros:

The polynomial has zeros at x = 1, x = 0 (with multiplicity 3), and x = -7 (with multiplicity 1).

Degree:

The degree of the polynomial is the sum of the exponents in the highest power term, which in this case is 1 + 3 + 7 = 11.

Behavior as x approaches positive and negative infinity:

Since the leading term has a positive coefficient (2), as x approaches positive or negative infinity, the polynomial will also approach positive infinity.

Multiplicity of zeros:

The zero at x = 1 has a multiplicity of 1, the zero at x = 0 has a multiplicity of 3, and the zero at x = -7 has a multiplicity of 1. The multiplicity determines how the graph interacts with the x-axis at those points.

Based on the above information, we can sketch the graph of the polynomial:

At x = 1, the graph crosses the x-axis.

At x = 0, the graph touches the x-axis but does not cross it (with multiplicity 3).

At x = -7, the graph crosses the x-axis.

The graph will have a shape similar to an "S" curve, starting from negative infinity, passing through x = -7, touching the x-axis at x = 0 (with multiplicity 3), and crossing the x-axis at x = 1, then increasing towards positive infinity.

Note that the scale and exact shape of the graph may vary depending on the coefficients and the magnitude of the polynomial's terms, but the general behavior and key features described above should be represented in the graph.

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Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

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

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

Answer:

160,000,000,000,000

Step-by-step explanation:

M= 200,000,000,000,000

P= $40,000,000,000,000

200,000,000,000,000 - 40,000,000,000,000=

160,000,000,000,000

All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros

Answer:

(2×10^14)/(4×10^13) = 5

Star M is 5 times farther from earth than Star P.

The confidence interval for the population variance is [17.81,19.79 ].

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

N = 25

mean - 18.8

standard deviation = 3

z value of 90% in z score = 1.645

C.I. = mean± z*s/√n

C.I. = 18.8 ± 1.645*3/√25

C.I. = 18.8 ±0.99

C.I. =[17.81,19.79 ]

Hence the confidence interval for the population variance is [17.81,19.79 ].

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Answer:

1/15

Step-by-step explanation:

Answer:

m= -2.625

Step-by-step explanation:

9(-8m + 10) + 4(6m + 9)

-72m + 90 + 24m + 36

-48m = 126

m = -2.625

Answer:

-48m + 126

Step-by-step explanation:

9(-8m + 10) + 4(6m + 9)

use distributive property

9(-8m + 10)

=

-72m + 90

and

4(6m + 9)

=

24m + 36

-72 + 36 + 90 + 36

combine like terms

(-72m + 36) + (90+36)

=

-48m + 126

Your answer is

-48m + 126

unless you're asking what m is. It's -2.623 (decimal form) , -21/8 (exact form) , -2  5/8 (mixed number)

The value of y when x is 1 is -2

Linear also interpretes as straight and a graph is a diagram which shows a connection or relation between two or more quantity.

We can also define straight graph which is drawn on a plane connecting the points on x and y coordinates. It is a graph of a linear equation.

To calculate any value of x or y we can use the graph to determine the value of x if y is given and the value of y if x is given

Therefore from the graph;

when x is 1 , the reading of y to the straight line is -2. Therefore the value of y is -2.

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The linear model for this data is y = 0.63t + 4.922 and the estimated population of Greensboro in 2015 was 11,530

What is slope?

Slope is a measure of the steepness of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate between any two points on the line.

a. To find the linear model for this data, we need to determine the equation of the line that passes through the two given points: (0, 4.922) and (6, 9.1). The slope of this line can be calculated as:

slope = (change in y) / (change in t)

slope = (9.1 - 4.922) / (6 - 0)

slope = 0.63

Using the point-slope form of a linear equation, we can write the equation of the line as:

y - 4.922 = 0.63(t - 0)

Simplifying, we get:

y = 0.63t + 4.922

Therefore, the linear model for this data is y = 0.63t + 4.922.

b. To estimate the population in 2015, we need to find the value of y when t = 11 (since 2015 is 11 years after 2004). Substituting t = 11 into the linear model, we get:

y = 0.63(11) + 4.922

y = 11.53

Therefore, the estimated population of Greensboro in 2015 was 11,530 (rounded to the nearest whole number).

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The answer is 24π square feet per second, which means that the area inside the ripple is increasing at this rate when the ripple is 8 feet in diameter.

To solve this problem, we need to use the formula for the area of a circle, which is A = πr². We know that the diameter of the ripple is 8 feet, so the radius is 4 feet (half of the diameter).
Next, we need to find the rate of change of the area with respect to time. This is given by the formula dA/dt = 2πr(dr/dt), where dr/dt is the rate at which the radius is changing (in this case, the speed of the ripple).

We are given that the speed of the ripple is 3 ft/sec. Therefore, dr/dt = 3 ft/sec.

Substituting the values we have, we get dA/dt = 2π(4)(3) = 24π.

So the area inside the ripple is increasing at a rate of 24π square feet per second when the ripple is 8 feet in diameter.

In more than 100 words, we have used the formula for the area of a circle, as well as the formula for the rate of change of the area with respect to time, to solve this problem. The speed of the ripple, which is given, is used to find the rate at which the radius is changing. Finally, we substitute the values we have into the formula to find the rate of change of the area. The answer is 24π square feet per second, which means that the area inside the ripple is increasing at this rate when the ripple is 8 feet in diameter.

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From the rate of change in area, the increasing rate of area inside the ripple with diameter 8 feet and ripple rate 3 ft/sec is equals to 24π.

We have a pebble is dropped into a pond. Rate or speed of ripple travelling in pond = 3 ft/sec

We have to determine the rate of the area inside the ripple increasing when the ripple is 8 feet in diameter.

Let area and radius be A and r of the ripple respectively. Both are changing with time, so, \(\frac{ dr}{dt} = 3 ft/sec\). Area of circular ripple is written as,

A = πr² --(1)

Differentiating the above equation with respect to time,t, \(\frac{dA}{dt}= 2πr \frac{dr}{dt } \).

Now, for obtaining the increase rate of area inside the ripple, substitute r = d/2

= 4 feet and \(\frac{ dr}{dt} = 3\)

in above expression

=>\( \frac{dA}{dt} = 2π (4)(3) \)

= 24π

Hence, required value is 24π .

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Answer:

c = ± \(\sqrt{\frac{d+dt^2}{t^2-3} }\)

Step-by-step explanation:

Given

t = \(\sqrt{\frac{3c^2+d}{c^2-d} }\) ( square both sides )

t² = \(\frac{3c^2+d}{c^2-d}\) ( multiply both sides by c² - d )

t²(c² - d) = 3c² + d ← distribute left side

t²c² - dt² = 3c² + d ( subtract 3c² from both sides )

t²c² - 3c² - dt² = d ( add dt² to both sides )

t²c² - 3c² = d +dt² ← factor out c² from each term on the left side

c²(t² - 3) = d + dt² ( divide both sides by t² - 3 )

c² = \(\frac{d+dt^2}{t^2-3}\) ( take the square root of both sides )

c = ± \(\sqrt{\frac{d+dt^2}{t^2-3} }\)

To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.

When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.

To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.

By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.

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The statement "there is a strong relationship showing that as the number of days increases, the height of the plants increases" is correct.

It is defined as the relation between two variables, which is a quantitative type and gives an idea about the direction of these two variables.

\(\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}\)

Here, the value of the correlation coefficient is 0.85

As we know, when the value of r is near to 1, the correlation is strong.

And when r > 1, the relation between x and y such that as x increases, y also increases.

Thus, the statement "there is a strong relationship showing that as the number of days increases, the height of the plants increases" is correct.

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The given statement using variables, quantifiers and symbols only ∀x ∈ p, ∃y ∈ p, t(x,y).

Predicate variables are quantified using quantifiers. It contains a formula, a type of statement whose veracity depends on the values of various parameters.

A predicate turns into a proposition when we give it a definite value. Another way to put it is that the predicate will turn into a proposition if it is quantified.

Therefore, the phrase "quantify" refers to quantifiers like "all" or "some."

The two basic categories of quantifiers are existential and universal quantifiers.

Additionally, it demonstrates whether the predicate is true or false for all conceivable values or for specific value(s) inside the realm of discourse.

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Only variables, quantifiers, and symbols are used in the following statement: ∀x ∈ p, ∃y ∈ p, t(x,y).

Only variables, quantifiers, and symbols are used in the supplied statement.

Quantifiers are used to quantify predicate variables. It includes a formula, which is a sort of assertion whose truth is determined by the values of several factors.

When we assign a definite value to a predicate, it becomes a proposition. Another way to say it is that if the predicate is quantified, it becomes a proposition.

As a result, the term "quantify" refers to quantifiers such as "all" or "some."

Existential and universal quantifiers are the two primary types of quantifiers.

It also shows whether the predicate is true or false for all possible values or for specified value(s) inside the scope of discourse.

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Answer:

Correct statements :-

second statement :- angle Y and angle X are in linear pairs.

fifth statement :- angle X and angle Y are adjacent.

Answer:

142.5cm²

Step-by-step explanation:

15cm x 9.5cm = 142.5cm²