Decide whether each equation is true for all, one, or no values of x.

a. Timothy is correct, as each vertex of triangle KLM was multiplied by 1.5.

b. The two triangles are similar, as they have the same angle measures, since a dilation does not change the angle measures.

A dilation occurs when each of the vertices of a image is multiplied by a constant, which is called scale factor.

The vertices of triangle KLM and given as follows:

K(-1,3), L(8,4) and M(10,-3).

The vertices of the triangle K'L'M', obtained after the dilation, are given as follows:

K'(-1.5, 4.5), L'(12, 6) and M'(15, -4.5).

Hence the scale factor is given by the multiplication of one the equivalent coordinates of the equivalent vertices, as follows:

-1.5/-1 = 1.5.

Meaning that Timothy is correct.

The two triangles are similar, as the dilation changes the side lengths but keep the angle measures constant, keeping the similarity of the triangles.

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With the help of factorisation we can conclude our answer.

acc to our question-

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The value of the account in the year 2009 will be $682.

The acount's balance, in t years after 1999, can be modeled by the following equation.

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

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Answer:

When you have the base of 10 and an exponential index of “n”, the powers of 10 says that the resulting number will be 1 followed by “n” number of zeros. So for example, 10 to the 7th represents the same thing as 1 followed by 7 zeros. The result is 10,000,000 (10 million). Multiplying whole numbers by a power of ten would mean that you ...

Probability that the sample mean rent is less than $2,918.03 is 0.050154

We are given that the Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2886. Assume the standard deviation is $586.

Also, a real estate firm samples 94 apartments.

Let X  = sample mean rent

The sample mean's z-score probability distribution is provided by;

              Z =  X-u/σ/[tex]\sqrt{n}[/tex] ~ N(0,1)

where,  u= population mean monthly rent = $2,886

             σ = standard deviation = $586

             n = sample of apartments = 94

Now, the probability that the sample mean rent is less than $2,918.03 is given by = P( < $2,918.03)

P( < $2,918.03) = P(Z < 0.52)= 0.050154

The above probability is calculated using z table by looking at value of x = 0.52 in the z table which have an area of 0.050154

Therefore, probability that the sample mean rent is less than  $2,918.03is 0.050154

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Answer:

Step-by-step explanation:

The point slope and the intercept form is y = -3x + 11

One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).

This written in the form of y = ax + b

where a is the slope and b is the intercept

We have the equation as

y + 4 = - 3 ( x - 5 )

we would have to open the bracket and then take the like term

this is going to be

y  + 4 = -3x + 15

From here we would get the like term

y = -3x + 15 -4

y = -3x + 11

The slope is -3 and the intercept is 11.

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72 three course meals we can order.

Question states that;

A restaurant offers a special menu with three salad options, six meal options, and eight dessert options.

Counting Principle:

The counting rule is another name for the Fundamental Counting Principle. It's a way to figure out how many possible outcomes there are in a probability word problem. Probability is the likelihood that an event will occur. An event's probability is always a number between 0 and 1. The probability of all events added together equals one.

We need to find how many three course meals we can order;

Total number of ways,

P(A) = 3 * 6 * 8

P(A) = 72

72 three course meals we can order.

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Answer:

24%

Step-by-step explanation:

6/25 is also the same as 24/100 because

(6/25)*(4/4)=24/100

Since the denominator is 100, the numerator is the percentage.

6/25=24%

Answer:

24%

Step-by-step explanation:

One way to figure this out is to multiply the denominator by 4 so that it becomes 100. This makes it easy to see what the percentage will be.

6/25 x 4/4 = 24/100

6/25 = 24%

Poisson Distribution along with Binomial Distribution is applied for Discrete Random variable.

What is discrete variable and example?

What is discrete and continuous random variable?

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The value of k is 4.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Volume= 16

Width = 4

So, we can write the relation as

Volume= k (width)

k = Volume/ width

k= 16/4

k = 4

Hence, the value of k is 4.

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large samples and small variance are combination of factors is most likely to produce a significant value  in standard deviation .

What is standard deviation?

t = x - μ/s/√n

t = √n( x- μ)/s

t will be significant when its value will be higher .

so, the answer is large samples and small variance .

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The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

The given condition needs the following function;

Data Integration Error:

Data from a single source, obtained and entered in the same way across time is unusual to be present in a database of significant size and age. A database frequently comprises data that has been gathered over time from various sources using various ways. As an illustration, consider how the meaning of "affected" is evolving or changing as the crisis progresses and the number of people affected is tracked over time. In addition, many databases evolve in practice by joining together different pre-existing databases. Almost always, the databases involved in this merging effort include discrepancies involving various data units, measurement intervals, formats, etc. Any process that combines data from various sources has the potential to make mistakes. When two or more databases are combined, errors will be found where there are discrepancies between the databases as well as new errors will be produced (i.e. duplicate records). A few potential origins and types of errors in a big assessment are shown in Table 1 below, at three fundamental levels: after completing the survey, when adding information to the database, and when conducting the analysis.

So, we use " COUNTA "

The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

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The length of the square, given the height of the King, can be found to be 1.25 inch.

The chessboard is made such that its square length as a ratio would be 2 . 5 inches to 4 . 5 inches for the King's height.

If the King's height is 2. 25 inches, the square length of the chess board can be found by the formula:
= ( King's height x Ratio of square length ) / Ratio of King's height

Solving gives us:

= (2 . 25 x 2 . 5 ) / 4.5

= 5.625 / 4. 5

= 1.25 inches

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The finance charge for Julie's installment loan of $4,600 at 13% for 36 months is D. $979.64.

The finance charge represents the interest and other administrative charges for granting a loan to an individual or organization.

The finance charge is always described in terms of the APR (annual percentage rate) that accrues on the loan, depending on the amount and the period.

N (# of periods) = 36 months (3 years x 12)

I/Y (Interest per year) = 13%

PV (Present Value) = $4,600

FV (Future Value) = $0

Results:

PMT = $154.99

Sum of all periodic payments = $5,579.64

Total Interest = $979.64

Thus, Julie will pay a finance charge of $979.64.

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Option D. $979.64

Step-by-step explanation:

9 × 1/2 = 4.5

8 × 1/2 = 4

hope it's helpful

Answer:

EGFB

Step-by-step explanation:

PQ= (105)^2 + (208)^2

PQ=233

Area = b*h

Area = 21840

RS = (210)^2 + (120)^2

RS = 241.87

Area = 1/2bh

Area = 1/2 (210)(120)

Area = 12600

The domain of the given function is equal to: {-4, 2, 6, 9}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values or numbers to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Generally speaking, the horizontal extent of the graph of a function represents all domain values and they are read and written from the smallest to the largest numerical values, and from the left of a graph to the right.

By critically observing the given function, we can reasonably and logically deduce the following:

Domain = {-4, 2, 6, 9}.

Range = (-3, 1).

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The change that Tamir would have to receive would be: $5.75

We would first have to solve for the total amount of the tickets that Tamir has received

This would be given as

32.5 + 26.5 dollars

= 59 dollars

Given that he has a 1/4 off in both of the tickets the amount that he would have to pay would be

59 - 1/4 * 59

59 - 14.75

= $44.25

This is the amount that he would have to pay for the coupons.

Given that he used a $50 bill, we would have to solve for his change.

This would be solved as $50 - $44.25

= 5.75

Hence his change is going to be $5.75

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Answer:

5/11 > 4/9

Step-by-step explanation:

5/11 = 0.45454545....

4/9 = 0.44444444....

Answer:

See below

Step-by-step explanation:

.105    is    105   THOUSANDTHS    or   105/1000

  Divide top and bottom by '5'

    to get   21/100

The number of different ways to arrange 7 video games is  = 7!

The question requests for the number of arrangements; That means we're dealing with permutation

the number of video games is 7;

To arrange 7 games, we make use of the following permutation formula;

[tex]^{n}P_{n} = \frac{n!}{(n-n)!}[/tex]

So, we have

n=7

No. of ways we can arrange is = [tex]\frac{7!}{(7-7)!}[/tex] = 7!

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The linear equation parallel to 8y=6x+5  is:

y = (3/4)*x - 4

Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.

Here we want to find a line parallel to:

8y = 6x + 5

Rewriting this in slope-intercept form we get:

y = (6x + 5)/8

y = (3/4)*x + 5/8

Then a parallel line to this one will be:

y = (3/4)*x + b

To find the value of b, we use the fact that this line must pass through the point (-8, -10).

-10 = (3/4)*(-8) + b

-10 = -6 + b

-10 + 6 = b

-4 = b

Then the linear equation is:

y = (3/4)*x - 4

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The graph has no vertex

The transformations from the parent function are

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

Here, we have:

This transformation can be represented as (x - 4, y - 2)

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