Number line is shown which point is the additive inverse of the number -2

The manager is correct because the number of children, 0.25(n + 244), is equivalent to the manager's expression, 0.25n + 61.

=======================================================

Explanation:

There are 244 men and n women giving 244+n total people, which is the same as n+244.

25% of this is 0.25(n+244)

Distribute that 0.25 through to each term inside the parenthesis

There are 0.25n+61 children at this mall which is equivalent to 0.25(n+244)

In other words,

0.25(n+244) = 0.25n+61

is a true equation regardless of what value of n you pick. Both sides are identical.

Answer: THE ANSWER IS D!

Step-by-step explanation:

Answer: D. The polynomial is irreducible.

From the explanation below we do not get polynomial .

Step-by-step explanation:

A.(x+3)(x-6)

=  x^2-6x+3x-18

=x^2-3x-18

B.(x-3)(x+6)

 =(x^2+6x-3x-18)

  =x^2+3x-18

C.(x+3)(x^2-4x+6)

  =x^3-4x^2+6x+3x^2-12x+18

  =x^2-x^2-6x+18

D.The polynomial is irreducible

The principal amount that John invested is $22000.

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

For example, when a person takes a loan of Rs. 5000, at a rate of 10 p.a. for two years, the person's interest for two years will be S.I. on the borrowed money.

The formula of simple interest is given as S.I = P(1 + rt)

S.I = simple interest

p = principal

r = rate

t = time

Substituting the values into the formula

23320 = P(1 + 0.06*1)23320 = P(1.06)p = 22000

The amounts invested was $22000

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The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

7+3

Step-by-step explanation:

6+4 = 10 and 7+3 = 10

Answer:

In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions. In science, there is a independent and dependent variable.

Step-by-step explanation:

Answer:

VARIABLE MEANING: A variable is a letter used to describe an unknown number. A quantity that can change or vary, taking on different values. A letter or symbol representing a varying quantity.

CO EFFICIENT MEANING: A number next a variable behind the letter examples: 4m -3x 6y 5w

EXPRESSION MEANING: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.

TERM MEANING: It's either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide.

The relative price is a useful measure for comparing the prices of different products or services, especially in the context of consumer preferences and demand.

Relative price refers to the price of a particular product or service in relation to other goods or services in the market.

It is calculated as the ratio of the price of a given product or service to the price of a reference product or service, commonly referred to as a base good or service.

Let the price of a pair of shoes be $5 and the price of a box of tea be $3.

Then the relative price of a pair of shoes is given by:

Relative price of shoes = Price of shoes / Price of tea

= $5 / $3

= 1.67

Thus, the relative price of a pair of shoes is 1.67.

Similarly,

The relative price of a box of tea can be calculated as follows:

Relative price of tea = Price of tea / Price of shoes

= $3 / $5

= 0.6

Therefore, the relative price of a box of tea is 0.6.

This means that the price of tea is relatively cheaper than that of shoes, as its relative price is less than one.

The relative price of shoes is greater than one, which indicates that shoes are relatively more expensive than tea.

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The density of \(\(c - \frac{1}{\bar{h}}\) is given by: \\\[f(x) = \frac{1}{\Gamma(n\alpha)\beta^{n\alpha}} x^{n\alpha - 1} e^{-\frac{x}{\beta}}\]\)

To find the distribution of \(\(\hat{\theta}\), we are given that \(c - \frac{1}{\bar{h}}\) has a gamma \(n\alpha, \beta\)\) distribution. The gamma distribution is defined as:

\(\[f(x) = \frac{1}{\Gamma(\alpha)\beta^\alpha} x^{\alpha - 1} e^{-\frac{x}{\beta}}\]\)

where\(\(\Gamma(\alpha)\)\) is the gamma function.

Now, let's find the density of\(\(c - \frac{1}{\bar{h}}\). Since \(c - \frac{1}{\bar{h}}\) has a gamma \(n\alpha, \beta\) distribution, we have:\[f(x) = \frac{1}{\Gamma(n\alpha)\beta^{n\alpha}} x^{n\alpha - 1} e^{-\frac{x}{\beta}}\]\)

where \(\(n\alpha\) is the shape parameter and \(\beta\)\) is the scale parameter.

Therefore, the density of \(\(c - \frac{1}{\bar{h}}\) is given by:\[f(x) = \frac{1}{\Gamma(n\alpha)\beta^{n\alpha}} x^{n\alpha - 1} e^{-\frac{x}{\beta}}\]This is the desired density for the distribution of \(c - \frac{1}{\bar{h}}\).\)

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By using the properties of the gamma distribution and substituting the given parameters, we have derived the density function for c−1h¯, which follows a gamma nα, βnc distribution.

To find the distribution of ˆθ, we are given that c−1h¯ follows a gamma nα, βnc distribution. Let's break down the problem step by step.

1. We know that c−1h¯ follows a gamma nα, βnc distribution. The gamma distribution is defined as:

\(\(f(x) = \frac{(\beta^\alpha \cdot x^{\alpha-1} \cdot e^{-\beta x})}{\Gamma(\alpha)}\)\)

  where α > 0 is the shape parameter, β > 0 is the rate parameter, x > 0 is the random variable, and Γ(α) is the gamma function.

2. To find the density of c−1h¯, we substitute the given parameters nα and βnc into the gamma distribution formula. So the density of c−1h¯ is:

\(\(f(c−1h¯) = \frac{(\beta^\alpha \cdot (c−1h¯)^{\alpha-1} \cdot e^{-\beta(c−1h¯)})}{\Gamma(\alpha)}\)\)

3. Simplifying the expression, we have:

\(\(f(c−1h¯) = \frac{(\beta^\alpha \cdot (c−1)^{\alpha-1} \cdot h¯^{\alpha-1} \cdot e^{-\beta(c−1h¯)})}{\Gamma(\alpha)}\)\)

4. Hence, we have shown that c−1h¯ has a gamma nα, βnc distribution, and its density is given by:

\(\(f(c−1h¯) = \frac{(\beta^\alpha \cdot (c−1)^{\alpha-1} \cdot h¯^{\alpha-1} \cdot e^{-\beta(c−1h¯)})}{\Gamma(\alpha)}\)\)

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The equation for the total distance that he runs in one day is:

total dsitance = 4*2414 m = 9656m

So, here we know that Edward uns around the park trail 4 times in one day.

So, if D is the total distance of the trail, then the total distance that Edward runs in one day  is 4 times D, then the equation is:

total distance = 4*D

Here we know that the trail is 2414 meters long, then the equation will be:

total dsitance = 4*2414 m = 9656m

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Answer:

x = 0

y= -3

Step-by-step explanation:

x = y + 3 into the equation y = -4x - 3, so

y = -4(y+3) - 3

y = -4y - 12 - 3

y = -4y - 15

5y = -15

y = -3

Then, you can substitute this into the equation x = y + 3

\(x = -3 + 3\\x = 0\)

we have

Apply the laws of exponent

Midpoint  is the middle segment of a given line. Since md = cm = 2 hence the point m is the midpoint of cd

A line is a distance between two points. Given the line cd with "m" as the  midpoint, the distance between cm and md will be equal that is:

md = cm

Given the following parameters

md = 6x - 22
cm = 3x - 10

Equate both expressions

6x - 22 = 3x - 10
6x - 3x = -10 + 22
3x = 12

x = 4

subtitute

cm = 3x - 10
cm = 3(4) - 10
cm =

Similarly:

md = 6x -22

md = 6(4) --22
md =

Since md = cm = 2 hence the point m is the midpoint of cd

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The amount she put in the account now to ensure she has her down payment is $25,379. 22

The formula for calculating compound interest is expressed as:

A = P(1+r/n)^nt

GIven the following

A = 30000
r = 0.0335
t = 5

n = 12

Substitute

30000 = P (1+0.0335/12)^12(5)
30000 = P (1+0.0335/12)^12(5)

30000 = 1.18206P
P = 30000/1.18206
P =  $25,379. 22

Hene the amount she put in the account now to ensure she has her down payment is $25,379. 22

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To determine the equation of a polynomial of the third degree with the given criteria, we know that the polynomial will have roots at x = 3 and x = -4. Therefore, the factors of the polynomial are (x - 3) and (x + 4).

Since the polynomial has a third degree, we need to introduce another factor of (x - a), where 'a' is a constant.

The equation of the polynomial is then:
f(x) = k * (x - 3) * (x + 4) * (x - a)

To find the value of 'a' and 'k,' we use the fact that f(6) = 8:
8 = k * (6 - 3) * (6 + 4) * (6 - a)
8 = k * 3 * 10 * (6 - a)
8 = 90k * (6 - a)
k * (6 - a) = 8/90
k * (6 - a) = 4/45

From this equation, we can solve for 'a' and 'k' to obtain the complete equation of the polynomial.

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Answer:

4.3

im not sure

correct me if im wrong

Answer

6.7

Step-by-step explanation:

Works on acellus

a) Sample mean is arithmetic average of data values. The sample mean of provide data values is 10.

b) The five-number summary of the sample is minimum = 4, Q1 = 4.5, median = 9 , Q3 = 15.5 and maximum= 16.

The population mean is denoted by greek letter, μ and sample mean is a random variable; which is written as x-bar and x-bar stands for individual values it takes. The sample mean is a statistic measure obtained by calculating the arithmetic mean of sample values ( values of variable in sample). The sample mean formula is: x-bar = ( Σxᵢ) / n

Now, we have to calculate sample mean of following data values, 12,8,15,16,5,4.

Sum of values, Σ xi = 12 + 8 + 15 + 5 + 4 + 16 = 60

Number of values = 6

So, Sample mean, = ( Σ xi ) / n = 60/6 = 10

The five-number summary includes following :

So, Steps to determine the five-number summary:

Now, the sample set is 12,8,15,16,5,4. Arrange the data values in ascending order, 4,5,6,12,15,16. So, Minimum value

= 4 , Maximum value = 16 ,Median = mean of 6 and 12 = (6 + 12)/2 = 9. The vales written as(4, 5, ) 6, 12, (15, 16 ). The value of first quartile, Q₁ = median of lower ( 4,5) = (4+5)/2

= 9/2 = 4.5. Similarly, Third quartile, Q₃

= (15+16)/2= 31/2 = 15.5. Thus, the five-numer summary is minimum = 4, Q₁

= 4.5, median = 9 , Q₃ = 15.5 and

maximum = 16.

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Complete question:

Consider the sample set 12,8,15,16,5,4 and answer the below questions:

(a)[2 pts] what is the notation of the sample mean? find the sample mean.

(b)[3 pts] find the five-number summary of the sample.

The graphical representation that would be the best for this data would be a circle graph. That is option C.

A circle graph, which is also called a pie chart, is defined as a type of data representation where by the information concerning a data set is displayed in a circular form and in a way that the various information displayed is a percentage of the total data set involved.

Now, the number of students that were surveyed = 100 students.

The number of subjects that are preferred by the students would be represented as x,y,z.

Therefore to represent the number of students that preferred a particular subject on the circle graph the following is carried out;

For subject x = Number of X/100 × 360/1

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Answer:

\(y-3=-\frac{3}{2}(x-2)\)

Step-by-step explanation:

In order to find an equation that is parallel, it must have the same slope. This means the y intercept could literally be anything.

By equation of the line, we can write it in point slope form

\(y-y1=m(x-x1)\)

where y1 and x1 are points on the coordinate plane and m is the slope.

We are already given the slope, so we just plug in the numbers.

\(y-3=-\frac{3}{2}(x-2)\)

The number of calories burned y after x minutes of kayaking is

You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight

For kayaking Linear function is y=4.5x

In 45 minute means  x=45

so, y=4.5x

45*45

= 20.25

That means in kayaking will  burnt 20.25 calories in 45

minutes

Therefore, hiking burns more calories.

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Answer:

3 the patten is the previous subtracted about decrease by 3

Step-by-step explanation: the pattern decrease the number subtracted by 3 so it starts with 15 and goes to 12 then to 9 so the last one would be six and 9 - 6 = 3

Answer:

x = 3 sqrt(2) + 5 , x = -3 sqrt(2) + 5

Step-by-step explanation:

3(x - 5)^2 = 54

(x - 5) ^ 2 = 18

x - 5 = sqrt 18

x - 5 = 3 sqrt(2), -3 sqrt(2)

x = 3 sqrt(2) + 5, x = -3 sqrt(2) + 5

Hope this helps!

Answer:

The first line m1 should be = the second line m2 passing through point C.

so in short m1=m2...

The estimated cost savings for the homeowner in a year if she replaces refrigerator A with refrigerator B would be $72.

To calculate the cost savings, we first need to calculate the annual electricity cost for refrigerator A, which is 500 watts/hour * 12 hours/day * 365 days/year = 2,190,000 watt-hours/year or 2190 kWh/year. Multiplying this by the cost per kWh of $0.12 gives us an annual electricity cost of $262.80.

For refrigerator B, which uses 50% less energy per year, the annual electricity cost would be 2190 kWh/year * 0.5 * $0.12/kWh = $131.40. Therefore, the estimated cost savings for the homeowner in a year would be $262.80 - $131.40 = $131.40. However, the cost savings over the lifespan of the refrigerator will depend on its lifespan, replacement cost, and future changes in energy prices.

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g(x) = x^2 - 3

f(x) = x^3+7x^2-x

Start with the g(x) function. Replace every x with f(x)

g(x) = x^2 - 3

g(f(x)) = ( f(x) )^2 - 3

Then replace the f(x) on the right side with x^3+7x^2-x

g(f(x)) = (x^3+7x^2-x)^2 - 3

The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6

So the highest exponent found in g(f(x)) is 6, meaning the degree of is 6

The equation of the plane through the origin and the points (2, –4, 6) and (5, 1, 3) is - 9x + 12y + 11 x = 0.

The general equation of a plane through (0, 0, 0) is a(x - 0) + b(y - 0) + c(z - 0) = 0

Since the plane passes though the origin, the equation of the plane is given by ( x, y, z ) = 0. Simplify it so that you write the equation of the plane in the form a x + b y + c z = 0

ax + by + cx = 0...(1)

It will pass through B(2, -4, 6) and C(5, 1, 3) if

a(2) + b(-4) + c(6) = 0

2a - 4b + 6c = 0

a - 2b + 3c = 0 ...(2)

a(5) + b(1) + c(3) = 0

5a + b + 3c = 0 ... (3)

Solving (2) and (3) by cross-multiplication, we have

\(& \frac{a}{-6-3}=\frac{b}{15-3}=\frac{c}{1+10} \\\)

\(& \Rightarrow \frac{a}{-9}=\frac{b}{12}=\frac{c}{11}=\lambda\) (say) }

\(& \Rightarrow\) a = - 9 \(\lambda\), b = 12 \(\lambda\)  and c = 11 \(\lambda\)

Substituting the values of a, b and c in (1), we get

- 9 \(\lambda\) x + 12 \(\lambda\) y + 11 \(\lambda\) x = 0

- 9x + 12y + 11 x = 0

which is the required equation of the plane.

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Hello!

1/6 ≈ 0.167

the answer is 0.167

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer:

I think D though I'm not sure

Step-by-step explanation:

Step-by-step explanation:

LCM is lowest common factor and HCF is highest common factor.

Given numbers are 236 and 92.

We can find it using prime factorization method.

Prime factorization of 236 = 2 x 2 x 59

Prime factorization of 92 = 2 x 2 x 23

HCF = 2 x 2 = 4

LCM = 2 x 2 x 59 x 23 = 5428

We know that,

LCM×HCF = product of two numbers

⇒ LCM×HCF = 5428×4 = 21712

⇒ product of two numbers = 236× 92 = 21712

Hence, proved.