Triangle LMK has vertices L(-6, 0), M(0, -6), and K(-6, -6) and triangle XYW has vertices X(0, 6), Y(8, 6), and W(4, 2). Using the definition of congruence, decide whether the two triangles are congruent. Explain your answer. Give coordinate notation for the transformations you use.

The probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card, is 40/500 = 0.08.

The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

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The most appropriate choice for Percentage will be given by

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. Then that number is called percentage.

For example, 2% means \(\frac{2}{100}\)

Here,

Let the number be x

On increasing x by 10%, result = \(x + \frac{10}{100} \times x\)

                                                  = \(x + \frac{x}{10}\)

                                                  = \(\frac{10x +x}{10}\)

                                                  = \(\frac{11x}{10}\)

Now on increasing his answer by 10 %, result =

                                                                            \(\frac{11x}{10}+\frac{10}{100}\times \frac{11x}{10}\\\frac{11x}{10} + \frac{11x}{100}\\\frac{110x + 11x}{100}\\\frac{121x}{100}\)

Total increase in number = \(\frac{121x}{100} - x\)

                                           = \(\frac{121x-100x}{100} \\\)

                                           = \(\frac{21x}{100}\)

Percentage increase = \(\frac{\frac{21x}{100}}{x} \times 100\)

                                   = 21%

Percentage increase overall = 21 %

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Answer:

Measurement of angle E is 55°.

Step-by-step explanation:

By applying triangle sum theorem in ΔACE,

m∠A + m∠E + m∠C = 180°

(6x - 15)° + (4x)° + m∠E = 180°

m∠E = 180° - (10x - 15)

        = (195 -10x)°

Similarly, in ΔBDE,

(5x - 1)° + (4x)° + m∠E = 180°

(9x - 1)° + m∠E = 180°

m∠E = 180 - (9x - 1)

         = (181 - 9x)°

By equating both the measures of angle E,

(195 - 10x) = (181 - 9x)

195 - 181 = 10x - 9x

x = 14

m∠E = (195 - 10x) = 195 - 10(14)

                            = 195 - 140

                             = 55°

Therefore, measurement of angle E is 55°.

Answer:

5.05*10³

Step-by-step explanation:

Answer:

The scale of the model is 1:5

Step-by-step explanation:

Here, we want to know the scale of the model

From the question, we shall be comparing 7 inches against 35 inches

Thus, the scale of the model in this case will be;

7 inches : 35 inches

= 1:5

Answer:

Step-by-step explanation:

6dm=60 cm=600 mm

I will give you some advice. Go to and put your question, and there should be some videos

The study examining the effect of two strength-training programs (balance ball vs. stationary exercise equipment) on blood pressure and cholesterol levels in women over 60 is a double-blind randomized experiment.

What is a double-blind randomized experiment? A double-blind randomized experiment is a type of experiment where neither the experimenter nor the study subjects know what treatment the subject is receiving. In this type of experiment, the participants are randomly assigned to a treatment group. This type of experiment aims to reduce the placebo effect and reduce bias from the experimenter or study participants.

What is the purpose of the study? The purpose of the study was to determine the effect on blood pressure and cholesterol levels in women over the age of 60 of two different strength-training programs, one involving the use of a balance ball and the other using stationary exercise equipment. The subjects were aware of the purpose of the study, but they were not told that there were two different treatment groups involved. The cholesterol levels and blood pressure of subjects were measured at the start and at the end of the eight weeks.

What is the result of the study? The result of the study was not included in the question, so it is not possible to determine the result of the study. However, the study is an example of a double-blind randomized experiment, which is used to reduce the placebo effect and reduce bias from the experimenter or study participants.

In this scenario, the study involves randomly dividing the participants into two equal-sized experimental groups. The participants and the medical technician are unaware of which group each participant belongs to, indicating a double-blind setup. This helps to minimize potential biases and ensure objective measurements of blood pressure and cholesterol levels. The use of double-blind methodology is common in experiments to reduce the influence of bias and increase the reliability of the results.

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Answer:

1/5 or 1 out of 5 chances he would not catch the pitch. also could be said .2 or 20 percent

Answer:

20%

Step-by-step explanation:

Answer:

sqrt(2)/2

Step-by-step explanation:

tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.

Answer:

Well there are 16 oz in every pound soooo the answer would be

4 pounds 3 ounces

Step-by-step explanation:

For a normal distribution with mean 54 and standard deviation 5 95.4% of them fall between 44 and 64

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score\\\\Given\ that\ mean(\mu)=54,standard \ deviation (\sigma)=5\\\\For\ x=44:\\\\z=\frac{44-54}{5}=-2\\\\For\ x=64:\\\\z=\frac{64-54}{5}=2\)

Therefore., from the normal distribution table:

P(44<x<64) = P(-2< z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Hence, About 95.4% of them fall between 44 and 64.

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Step-by-step explanation:

Answer:

c as it is on a straight line

Answer:

C. 2x + 58 = 180

Step-by-step explanation:

Not 100% sure but I hope this helps you!

Answer:

It’s simple

Step-by-step explanation:

You first would add -3 and 3 and get zero

then divide 0 by 4 and get zero again

then subtract 0 by 4 (0 -4) and get -4

For removing John Doe from the associative array, you can use the array_pop function as follows: array_pop($students).

In PHP, the array_pop function is used to remove the last element from an array. However, it is important to note that associative arrays in PHP do not have a specific order of elements, so the concept of the "last" element may not be applicable in the same way as with indexed arrays.

If you want to remove a specific element from an associative array, such as "John Doe" in your example, you can use the unset function with the corresponding key. Here's how you can achieve it:

$students = [

   "Anna" => "Smith",

   "Mark" => "Sloan",

   "John" => "Doe",

   "Meridith" => "Gray",

];

unset($students["John"]);

// Printing the remaining students

foreach ($students as $name => $surname) {

   echo $name . " " . $surname . "<br>";

}

This will remove the element with the key "John" from the associative array and then iterate over the remaining elements to print them.

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Answers:

Slope intercept equation is y = -4x - 17

The point (-6, 7) is on the graph of the line.

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

Explanation:

Let's solve for y

y - 7 = -4(x+6)

y - 7 = -4x - 24

y = -4x - 24 + 7

y = -4x - 17

It is now in slope intercept form y = mx+b

m = -4 = slope

b = -17 = y intercept

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

Compare the equation y - 7 = -4(x+6) with the point-slope form of y-y1 = m(x-x1)

The (x1,y1) is a point the line goes through.

Rewriting x+6 into x-(-6) has us get y - 7 = -4(x-(-6))

We can see that x1 = -6 and y1 = 7

Therefore, the point (x1,y1) = (-6,7) is on the line.

The marked price of the article is Rs18000

From the question, we have the following parameters that can be used in our computation:

Discount = 15%

VAT = 13%

Amount paid = Rs 17289

Using the above as a guide, we have the following

Amount paid = Marked price * (1 - discount) * (1 + VAT)

Substitute the known values in the above equation, so, we have the following representation

17289 = Marked price * (1 - 15%) * (1 + 13%)

So, we have

Marked price = 17289/[(1 - 15%) * (1 + 13%)]

Evaluate

Marked price = 18000

HEnce, the price is Rs18000

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Total tickets of a basketball game sold to students are 332 and total tickets sold to adults are 456.

Total number of sold tickets for a basketball game = 788

Total receipts for game = $1,400

Price of game tickets for an adults = $2.50/ticket

Price of game tickets for student = $1.25/ ticket

let us assume that total tickets sold to adults be "x".

Out of 788 , total tickets sold to students = 788 - x

Total money paid by adults = $2.50x

Total money paid by students = $1.25(778 - x)

Total money paid by adults and students will be equal to ($2.50x + $1.25(788 - x) ).

Total receipts for game is $1,400, so

$2.50x + $1.25(788 - x) = $1,400

which is a linear equation of one variable.

Now, we have to solve this equation

2.50x + 1.25×788 - 1.25x = 1,400

=> 1.25x + 985 = 1400

=> 1.25x = 1400 - 985 = 415

=> x = 415/1.25 = 332

So, total tickets sold to adults are 332 . Then,

total tickets sold to students = 788 - 332 = 456.

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Answer:

y=31x+50

Step-by-step explanation:

31 is how much it grows (slope) so it is the m and 50 is the b

0.76 is 0.01 greater than 0.75.

Step-by-step explanation:

0.75+x=0.76

x=0.76-0.75

x=0.01

In percent

0.01/0.76 * 100%

1.32%

The decimal number 0.75 is -0.01 more bigger than the decimal number 0.76.

Given are two decimal numbers:

0.75 and 0.76

It is required to find how much bigger is the decimal number 0.75 compared to that of 0.76.

For that, the operation of subtraction has to be done.

Here, the number which is considered bigger is 0.75. So, the number from which the other number has to be subtracted is 0.75.

So, subtract 0.76 from the decimal number 0.75.

0.75 - 0.76 = -(0.76 - 0.75)

                  = -0.01

Hence, the decimal number, 0.75 is -0.01 more bigger than 0.76.

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Answer:

\(4\sqrt{10}\)

Step-by-step explanation:

We can use the distance formula to find this

\(\sqrt{(0-4)^2+(10+2)^2} = \sqrt{(-4)^2+12^2} = \sqrt{16 + 144} = \sqrt{160} = 4\sqrt{10}\)

Answer:

Step-by-step explanation:

The distance between the points (4, -2) and (0, 10) is

= sqrt ((4 - 0)^2 + (-2 - 10)^2)

= sqrt(16 + 144)

= sqrt(160)

= 4\(\sqrt{10}\)

= 12.65

The subspace in R^4 where the second and fourth entries are equal has a dimension of 2 and can be spanned by the basis {v1 = (1, 0, 0, 1), v2 = (0, 1, 0, 1)}.

Consider the subspace of all vectors in ℝ^4 whose second and fourth entries are equal.
(a) To find the dimension of this subspace, we need to determine the number of linearly independent vectors that span the subspace.
Let's call the second and fourth entries of the vectors x and y, respectively. Since x and y are equal, we can write the vectors in this subspace as [a, x, b, x], where a and b can be any real numbers.
Let's simplify this representation further. We can rewrite the vector as [a, x, b, x] = a[1, 0, 0, 0] + x[0, 1, 0, 0] + b[0, 0, 1, 0] + x[0, 0, 0, 1].
From this representation, we can see that the subspace is spanned by four linearly independent vectors: [1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], and [0, 0, 0, 1]. Therefore, the dimension of this subspace is 4.

(b) To find a basis for this subspace, we can simply list the four linearly independent vectors mentioned above: {[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]}. These vectors form a basis for the subspace, as they are linearly independent and span the subspace.
In summary, the dimension of this subspace is 4, and a basis for this subspace is {[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]}.
In summary, the subspace in R^4 where the second and fourth entries are equal has a dimension of 2. It can be spanned by the basis {v1, v2}, consisting of vectors that satisfy the condition and are linearly independent.

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Answer:

F(t)=6t+15t^2−16/3 t^3 + C

Step-by-step explanation:

hope this helps

There are several types of statistical evaluations that help to sort out the true significance of clinical research findings. These include effect size analyses, significance testing, confidence intervals, and meta-analysis.

Statistical evaluations are methods that provide essential information to guide clinical decision-making, treatment, and future research. There are many different types of statistical evaluations used to sort out the true significance of clinical research findings. Types of statistical evaluations that help to sort out the true significance of clinical research findings:

Effect size analyses: These analyses provide an indication of the strength and size of the effect that an intervention had on the outcome. This is typically represented as a standardized measure, such as Cohen's d or Hedges' g, which allows for comparison across studies.

Significance testing: Significance testing involves comparing the observed data to what would be expected under the null hypothesis (e.g., no effect). If the observed data are unlikely to have occurred by chance, then the null hypothesis is rejected and the results are considered statistically significant.

Confidence intervals: A confidence interval is a range of values within which the true population value is estimated to lie with a certain degree of certainty. This provides a measure of the precision of the estimated effect size.

Meta-analysis: Meta-analysis is a statistical method used to synthesize the results of multiple studies to provide a more precise estimate of the effect size. It is often used to answer questions that cannot be answered by a single study, such as the effectiveness of an intervention in different populations or settings.

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Complete Question:

What is the difference between clinical significance and statistical significance? How might these concepts be applied to program evaluation? Give an example of an instance in which you might be torn between two types of significance in the reported results of research. What are some other types of statistical evaluations that help to sort out the true significance of clinical research findings? Provide at least two scholarly references for your discussion and justifications.

Answer:

C and D :)

Step-by-step explanation:

Answer:

c and d

Step-by-step explanation:

Answer:

Obi's age is 18 and Oba's age is 9

Step-by-step explanation:

Let Obi's age be x and Oba's age be y

Condition 1:

x = 2y -----------(1)

Condition 2:

(x-4) = 3(y-4)

=> x -4 = 3y-12

=> x - 3y = -9  -----(2)

Putting eq (1) in (2)

2y - 3y = -9

=> -y = -9

=> y = 9

Now,

x = 2y

=> x = 2(9)

=>  x= 18

Answer:

\(8\\4\)

Step-by-step explanation:

Obi's age is \(x\).

Oba's age is \(2x\).

4 years ago, Obi's age was \(x-4\).

4 years after, Obi's age is \(2x-4\)

3 times more than Oba's, so \(3(x-4)\)

\(2x - 4 = 3( x - 4)\)

\(2x - 4 = 3x-12\)

\(2x - 3x = -12+4\)

\(-1x=-8\)

\(x=8\)

\(x-4\\(8)-4=4\)