Write an Equation for the ellipse. The center is (1, -3).

In this circumstance, the sample consists of 1,200 inhabitants living within a ten-mile radius of the movie theater that were selected for random deliberation by the overseer.

Samples are frequently utilized to gain information concerning a larger population through the study of a single set of individuals or objects. The aim of selecting a sample is to inspect the populace by delving into a representative, relatively small group.

Surveys, polls, and experiments often utilize samples to make evidence-based inferences regarding the target population. For exact and dependable results, an instance should be randomly chosen, accurately mirroring those present in the whole population so as to reduce prejudice and fully optimize the evaluation.

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Answer:

10) 73

11) 107

12) 107

13) x = 23

14) 135

15) 45

16) 123, 28 29

17) 180 - 72 - 28 = 80

Angle K is 80

Step-by-step explanation:

10:

Vertical angels are congruent.  The same measurement.

11:

Supplements angles add to 180

180 - 73 = 107

12:

Same as 11

13:

135

Vertical angles are congruent

5x + 20 = 3x + 66  Subtract 3x from both sides

2x + 20 = 66 Subtract 20 from both sides

2x = 46  Divide both sides by 2

x = 23

14:

5x + 20  Substitute 23 for x

5(23) + 20

115 + 20

135

15:

This angle is supplemental to ABC

180 - 135 = 45

16:

The sum of the interior angles of a triangle is 180

123 + x-2 + x -3 = 180 Combine like terms

118 +2x = 180  Subtract 118 from both sides

2x = 62  Divide both sides by 2

x = 31

x- 2

31 - 2 = 29

x - 3

31 - 3 = 28

Three angles 123, 29, 28

17:

The sum of the interior angles is 180

180 - 72 - 28 = 80

Helping in the name of Jesus.

The factored form of 64d³ - 24d² is 8d²(8d³ - 3).

The greatest common factor (GCF), also known as the greatest common divisor (GCD), is the largest positive integer that divides two or more numbers without leaving a remainder. In other words, it is the largest number that divides evenly into two or more given numbers. For example, the GCF of 12 and 18 is 6, since 6 is the largest number that divides both 12 and 18 without leaving a remainder.

The greatest common factor (GCF) of the given terms is 8d². We can factor it out by dividing each term by 8d²:

64d³/8d² - 24d²/8d²

Simplifying the fractions:

8d³ - 3

Therefore, the factored form of 64d³ - 24d² is 8d²(8d³ - 3).

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Based on the given function conditions of f(x) , the value of f(7) is equal to -6

To find f(7), we need to determine which function definition to use based on the value of x.

Since x = 7 is greater than 5, we know that we'll be using the third definition of the function: f(x) = -x + 1 for 2 < x ≤ 5.

Therefore, we can substitute x = 7 into the third definition of the function:

f(7) = -7 + 1 = -6

So, f(7) = -6.

In summary, to find f(7), we identified which function definition to use based on the value of x. Since x = 7 is greater than 5, we used the third definition of the function, f(x) = -x + 1 for 2 < x ≤ 5, and found that f(7) = -6.

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Answer:

Step-by-step explanation:

If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

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The given function does not represent the curve passing through the given points. The multiplicative rate of change of the function is 5.

A curve is a continuous, smooth line that gradually alters direction. Rather than being straight line that follows a curve may be referred to as a curve line. A curve line can be made by connecting a number of non-straight-line-lying sites. In mathematics, a curve is a geometrical object that can be described by equations, such as parametric or function equations.

The rate of change of a function is the ratio of the change in the output (y) to the change in the input (x). In this case, we can calculate the rate of change between the first two points:

Changing at what rate between (1, 10) and (2, 50)?

Y change = 50 – 10 = 40

Variation in x = 2 - 1 = 1

Rate of change equals change in y/change in x, or 40/1, or 40.

In a similar manner, we can determine how quickly the second and third points will change:

The change between (2, 50) and (3, 250) is as follows:

Changing y by 250 - 50 equals 200

Variation in x = 3 - 2 = 1

Rate of change equals change in y/change in x, which is 200/1, or 200.

Now that we have the second rate of change, we can compute the multiplicative rate of change by dividing it by the first:

Multiplicative rate of change is equal to 200/40, or 5.

The function's multiplicative rate of change is thus 5.

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The amount of grams of each alloy that should be mixed to produce 40 grams of an alloy that is 60% gold are 16 grams and 24 grams respectively.

In order to write a system of linear equations to describe this situation, we would assign variables to the quantity of first alloy (30% gold) and the quantity of second alloy (80% gold) respectively, and then translate the word problem into a linear equation as follows:

Therefore, a system of linear equations to describe this situation can be written as follows;

x + y = 40      .....equation 1.

0.3x + 0.8y = 0.6(40)      .....equation 2.

From equation 2, we have the following:

0.3x + 0.8y = 24

0.3x + 0.8(x - 40) = 24

0.3x + 32 - 0.8x = 24

-0.5x = -8

x = -8/-0.5

x = 16 grams.

y = 40 - x

y = 40 - 16

y = 24 grams.

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Answer: The United States rule is a method for calculating interest and balances on loans that have partial payments during their term. The rule assumes that each partial payment is applied to the interest first, then to the principal. Here's how to use the United States rule to calculate the balance and interest for this loan:

Calculate the daily interest rate by dividing the annual interest rate by 360 (the number of days in a standard year for most loans).

Daily Interest Rate = 15.0% / 360 = 0.04167%

Calculate the interest due for the first partial payment of $5800 made on day 112. Since this payment is larger than the remaining principal, it will pay off the loan entirely and no interest will accrue beyond this date.

Calculate the interest due for the second partial payment of $4350 made on day 196.

Calculate the interest due on the remaining principal at maturity (day 280).

Add up the interest due from each period to get the total interest paid over the life of the loan.

Add up the principal amounts from each payment to get the total amount paid.

Subtract the total amount paid from the original principal to get the balance at maturity.

Balance at maturity = $1450.00 - $10,150.00 = -$8700.00 (which means the lender owes the borrower this amount)

Therefore, the balance at maturity is -$8700.00 (meaning the lender owes the borrower this amount) and the total interest paid over the life of the loan is $8.10.

The bar graph from the results of the following survey question titled "Hours spent using your cell phone each week" is found in the attachment.

A bar chart, also called a bar graph, is a visual representation of categorical data that uses rectangular bars with heights or lengths that correspond to the measure of the values they represent.

The bars in a bar chart can be plotted either vertically or horizontally.

Vertical bars, horizontal bars, grouped bars, or stacked bars can all be used to make bar graphs.

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Answer:

Step-by-step explanation:

(a)  Given:   r=4  h=3

Formula for cylinder:  V=Bh = [tex]\pi r^{2} h[/tex]  

Solution:

V= [tex]\pi r^{2} h[/tex]

V= [tex]\pi[/tex]4²(3)            >square

V= [tex]\pi[/tex] (16)(3)         >multiply numbers

V=48[tex]\pi[/tex]                >leave as pi

(b)  Given: 4  h=6

This volume will be greater because you are multiplying by 6 instead of 4

V=96[tex]\pi[/tex]

the value of the test statistic is approximately 5.19.we can get the answer by using formula .

what is statistic  ?

A statistic is a numerical value or measure that is calculated from a sample of data, and is used to describe or make inferences about a population. Statistics are used in various fields, including business, economics, social sciences, and natural sciences, to analyze data

In the given question,

To test the claim that the percentage of residents who favor construction is more than 49%, we can use a one-sample z-test. The test statistic can be calculated as:

z = (p - P) / √(P * (1 - P) / n)

where:

p = the sample proportion (0.53)

P = the hypothesized population proportion under the null hypothesis (0.49)

n = the sample size (800)

Substituting the given values into the formula, we get:

z = (0.53 - 0.49) / √(0.49 * 0.51 / 800) ≈ 5.19

Rounding the test statistic to two decimal places, we get:

z ≈ 5.19

Therefore, the value of the test statistic is approximately 5.19.

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The probability that either event will occur is 7/25

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100% in percentage.

Probability = sample space /Total outcome

P(A or B) = P(A) +P(B) -P(A and B)

The total element = 25+5+15+5 = 50

therefore total outcome = 50

P(A) = 25/50

P(B) = 15/50

P(A and B) = 5/40

Therefore P(A and B) = 25/50+15/50 - 5/50

= 35/50 = 7/25

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Answer:

Step-by-step explanation:

Angle KEF and JEK

Answer:

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

Complementary angles are the angles that together form a right angle.

In the picture we see two right angles:

The first one, ∠DEJ has a pair of complementary angles:

The second one, ∠JEF has a pair of complementary angles:

Answer:

the answer is:l only

because -10 only states the true statement while -1 and 6 gave False Staments...

The number of gallons of gas Brynen will use in driving to and from work, during the week, obtained using arithmetic operations is 7 5/7 gallons

Arithmetic operations are operations involving addition, subtraction, multiplication, and division.

The distance Brynen travels each way to his new job = 27 miles

The distance his car gets per gallon of gas = 35 miles

The number of gallons he will use in a week (five days of driving in the week), can therefore, be found by arithmetic operations follows;

The distance Brynen travels = 27 × 2 × 5 = 270 miles

The number of gallons = 270 miles/(35 miles/gallon) = 270/35 = 7 25/35

7 25/35 = 7 5/7

The volume of gas he will use to and from work this week is; 7 5/7 gallons

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The total cost equation is 200,000 + 40n and the break-even revenue is 20,000.

Given that a company is starting a new production, it cost the company $200,000 to construct the factory building.

The cost per unit of production is estimated to be Birr 20.

The company will incur a 20% commission expense.

The price per unit of products is decided to be Birr 50.

We need to find the total cost equation in terms of quantity and determine the break-even quantity.

a) The fixed cost of the company is $200,000, and 40 per unit sell,

Therefore for n units the total cost =

200,000 + 40n

b) BEQ = FC / P−VC

= 200,000 / 50-40

= 20,000

Hence the total cost equation is 200,000 + 40n and the break-even revenue is 20,000.

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This polynomial has zeros at 0, 1 (with multiplicity 2), -6, and -3, as required, and is of degree 5.

A polynomial f(x) of degree 5 with the given zeros can be represented in factored form as:

f(x) = [tex]A(x - 0)(x - 1)^2(x + 6)(x + 3)[/tex]

Since the leading coefficient is not specified, we can leave A as a constant factor. Simplifying the expression, we have:

f(x) = [tex]A(x)(x - 1)^2(x + 6)(x + 3)[/tex]

This polynomial has zeros at 0, 1 (with multiplicity 2), -6, and -3, as required, and is of degree 5.

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Answer:

FALSSOO

Step-by-step explanation:

lol srry I pretty sure its false I did teh math

Hope its right and it helps! c:

Answer:

B) 50cm^2

Step-by-step explanation:

Answer:

B (lease costs and taxes) and D (utilities, rent, lease, depreciation) are examples of fixed expenses as they typically do not vary with changes in volume.

Direct staffing costs (A) and utilities and supplies utilized in the production of service or product (C) are generally considered variable expenses as they tend to vary based on the volume of production or sales. For example, if a business produces more goods or provides more services, it will typically need to hire more staff and use more supplies, leading to an increase in expenses.

Step-by-step explanation:

Answer:

It is called as triangular numbers

Step-by-step explanation:

these numbers can be represented as a triangle of dots

Answer:The sample space that satisfies the definition of a continuous random variable is: ×=[0,500]

Step-by-step explanation:

The sample space that satisfies the definition of a continuous random variable is: ×=[0,500]

A continuous random variable is a variable that can take on any value within a certain range of values, typically a continuous interval. This means that there are an infinite number of possible values that the variable can take on, and the probability of any particular value is zero.

In contrast, the other sample spaces listed are all discrete random variables, meaning that they can only take on a finite or countable number of values. For example, the first sample space x={odd integers between 5 and 15} can only take on 6 possible values (5, 7, 9, 11, 13, or 15), and the third sample space x=[0,1,2,3] can only take on 4 possible values.

The fourth sample space x=[the number of days in the week that have the letter "r"] is also a discrete random variable, as it can only take on values of 0, 1, 2, or 3 (depending on how many days of the week have the letter "r").

Therefore, the only sample space that satisfies the definition of a continuous random variable is ×=[0,500].

We can conclude that there is significant evidence that the number of complaints received by Lara music store is different from number of complaints received by music stores in general.

Here, we have,

H0 : μ ≥ 6

H1 : μ < 6

Test statistic :

n = 20

Sample Mean, x = 3

σ = 1.5

Test statistic = (x - μ) ÷ σ/sqrt(n)

Test statistic = (3 - 6) ÷ 1.5/sqrt(20)

Test statistic = - 3 / 0.3354101

Test statistic = −8.944271

Since, sample size is < 30 ;

Obtaining the Critical value using the from T;

Tcritical at 0.05, df = 19 = - 1.729

Tstatistic < Tcritical

−8.944271 < - 1.729

Hence, we reject the Null:

We can conclude that there is significant evidence that the number of complaints received by Lara music store is different from number of complaints received by music stores in general.

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The probability that at most 1 call is received in 10 seconds is given as follows:

0.8557 = 85.57%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are listed and explained as follows:

On average, a front desk operator receives 2 calls per 30 seconds, hence the mean for 10 seconds, which is one third of the time, is given as follows:

[tex]\mu = \frac{2}{3}[/tex]

The probability of at most one call is given as follows:

P(X <= 1) = P(X = 0) + P(X = 1)

Hence:

Hence:

P(X <= 1) = P(X = 0) + P(X = 1) = 0.5134 + 0.3423 = 0.8557 = 85.57%.

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The volume of the prism is B. 2.5 cubic inches.

According to the question, the prism measures 1/4 of an inch on one side. Now we will assign values to the length, width, and height of this prism as follows:

Length = 2 × 1/4

Width = 5 × 1/4

Height = 3 × 1/4

= 2/4 + 5/4 + 3/4

=  2 2/4

= 2.5 cubic inches.

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The reason for the statements of the proof to show that ∠A ≅ ∠C are:

A quadrilateral with two sets of parallel sides is referred to as a parallelogram.

In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The ASA congruence theorem states that two triangles are congruent if two angles and the side separating two angles of one triangle are congruent with the corresponding angles and side of another triangle.

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Marcus not getting a seat on the school bus is therefore 0.07 or 7% likely as 0.07 percent of people will not receive a seat .

The prospect of an event happening is assessed by probability. It is a number between zero and 1, where 0 denotes an improbable occurrence and 1 denotes a certain occurrence. For instance, if we flip a fair coin, the odds of obtaining heads are 0.5, or 50%, and the odds of receiving tails are also 0.5, or 50%. In each case, there are various ways to compute probability. In general, if an event has n equally possible results and k of them are favourable, the likelihood that the event will occur is: Event P = k/n . All possible outcomes are thought to be equally likely under what is referred to as the classical probability.

given

Simply put, the likelihood that Marcus won't obtain a seat on the school bus is the complement of the likelihood that he will.

By deducting the probability from 1, one can determine the complement of a probability. So:

Chance of not being seated equals one less than the likelihood of being seated.

The likelihood of not getting a seat is equal to 1 - 0.93.

0.07 percent of people will not receive a seat.

Marcus not getting a seat on the school bus is therefore 0.07 or 7% likely as 0.07 percent of people will not receive a seat .

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Answer:

A B

Step-by-step explanation:

Is between A or B

Answer:  A yes

Step-by-step explanation:

The answer is A because they divided both sides by 5

Not by variable and they didn't add/sub  

This equations are  equivalent