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The statement that is missing from Oleg's plan is: RM = RL and MA = LA.

A bisector is a line that has been constructed in such a way that it divided either a line or measure of an angle into two equal parts or measures respectively. The bisector which divide a measure of an angle into two equal measures is called an angle bisector.

So in the writing of proof for the construction of an angle bisector by Oleg, the statement that is missing is:

RM = RL and MA = LA

Because, the radii of constructed arc are same length, and point A is equidistant to M and L.

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Answer:

-3.5

Step-by-step explanation:

5(.3) - 7(.5) + 6(.25) = 1.5 - 3.5 + 1.5 = -3.5

Answer:

The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

The mean number of misprints per page on manuscript is 0.5 and If a page is selected then the probability that it has 3 misprints is 0.0126..

The Poisson distribution is a theoretical discrete probability, also known as the Poisson distribution probability mass function. It is used to find the probability that independent events occur at regular time intervals and have a constant average rate. λ is the Poisson rate parameter, the expected average number of events over a given time interval.

Using the Poisson distribution formula:

P(X = x) = (e-λ (λˣ) )/x!

where λ is mean number or poisson rate parameter ; x = 0, 1, 2, 3...

e is the Euler's number(e = 2.718)

We have given that,

Total number of Manuscript Pages = 400

total misprinted pages = 200

let X be random variable that the page is misprinted .

Mean number, λ = 200/400 = 0.5

the probability that it has 3 misprints, P(X= 3) = (e⁻⁰·⁵ (0.5)³ )/3!

= e⁻⁰·⁵ ( 0.125 )/6 =0.075816/6 = 0.0126

Hence, the required probability is 0.0126..

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Complete question:

Misprints on Manuscript Pages In a 400-page manuscript, there are 200 randomly distributed misprints Part 1 of 2 Find the mean number of misprints per page. Round the answer to one decimal place as needed. If a page is selected, find the probability that it has 3 misprints.

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

25% off

Step-by-step explanation:

6 is 1/4 of 24

1/4=25%

The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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a. The random variable X represents the number of people over 50 who ran and died in the same eight-year period.

b. The appropriate distribution for this problem is the binomial distribution, which describes the number of successes.

c. The 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period is (0.0206, 0.1149).

d. The true population proportion lies within this interval, nor does it mean that the observed proportion (0.0677) has a 97% chance of being correct.

a. The random variable X represents the number of people over 50 who ran and died in the same eight-year period. The population proportion of over-50s who ran and passed away within the same eight-year period is represented by the random variable P'.

b. The appropriate distribution for this problem is the binomial distribution, which describes the number of successes (in this case, people who ran and died) in a fixed number of independent trials (in this case, the population of people over 50 during the eight-year period), where the probability of success is constant for each trial.

c. To construct a 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period, we can use the following formula:

\(\hat{p} \pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\)

where \hat{p} is the sample proportion, n is the sample size, and \(z_{\alpha/2}\) is the z-score associated with the desired level of confidence (97%, in this case).

Given that 1.5% of the 451 members of the 50-Plus Fitness Association died during the eight-year period, we can estimate the sample proportion as:

\(\hat{p} = \frac{X}{n} = \frac{0.015 \times 451}{1} = 6.765 \approx 0.0677\)

where X = \(0.015 \times 451 \approx 7\) is the observed number of people over 50 who ran and died in the same eight-year period.

Substituting the given values into the formula, we have:

\(0.0677 \pm 2.17\sqrt{\frac{0.0677(1-0.0677)}{451}} \approx (0.0206, 0.1149)\)

Therefore, the 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period is (0.0206, 0.1149).

ii. The graph of the confidence interval would be a horizontal line segment between the two endpoints (0.0206, 0.1149) on the y-axis, with a vertical line at the midpoint (0.0677) on the x-axis.

iii. The error bound is:

\(z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \approx 0.0471\)

d. A "97% confidence interval" means that if we were to repeat this study many times, using different samples of the same size from the same population, we would expect the true population proportion of people over 50 who ran and died in the same eight-year period to be captured by the confidence interval in 97% of those repetitions. In other words, we are 97% confident that the true population proportion falls within the interval (0.0206, 0.1149). It does not mean that there is a 97% chance that the true population proportion lies within this interval, nor does it mean that the observed proportion (0.0677) has a 97% chance of being correct.

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Answer:

12

Step-by-step explanation:

The figure is a right triangle with hypotenuse = QS

The  base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)

The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)

Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides

QS² = 3² + 4² = 9 + 16 = 25

QS, the hypotenuse = √25 = 5

The perimeter = sum of the sides = 3 + 4 + 5 = 12 units

Answer:

36

Step-by-step explanation:

The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}

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

The graph

On the graph, we have

(-8,5) (-12,-11)  (1-1) (-2,-4)

The domian is the set of the input values

Using the ordered pairs as a guide, we have

Domain = {-8, -12, 1, -2}

For the range, we have

The range is the set of the output values

So, we have

Range = {5, -11, -1, -4}

Hence, the range is  {5, -11, -1, -4}

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Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

Answer:

1) Expense. As an independent author, the issue of what to spend on my books is something I battle with constantly. ...

Solution. ...

2) Audience. ...

Solution. ...

3) Reviews. ...

Solution. ...

4) Self-publishing itself. ...

Solution.

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

the answer is b

Answer:

Step-by-step explanation:

It is not possible because if a triangle's side is equal to the other, then it will have 60° on each angle, which is not a right triangle. To classify a triangle a right triangle, it must have a right angle and should have the length of two legs equaled.

Please check out the image I uploaded.

In the image, we can clearly see no sign of right angles. Hence, a triangle with all 3 sides the same, cannot be a right triangle.

The value of the thickness of each record if the volume of the carton is 100π is,

⇒ 2.78 inches

We have to given that;

Karen can fit 25 vinyl records of diameter 12 in. inside a cylindrical carton with the same diameter.

We know that;

Volume of cylinder is,

⇒ V = πr²h

Hence, We get;

100π = π × (12/2)² × h

100 = 36h

h = 100 / 36

h = 50/18

h = 2.78 inches

Thus, The value of the thickness of each record if the volume of the carton is 100π is,

⇒ 2.78 inches

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Based on the calculations, function 2 shows a greater rate of change, because Tom spends $4 each month and Ronin spends $3 each month: option C.

A slope is also referred to as gradient and it's typically used to describe the rate of change between the points of a data set.

Mathematically, the slope (rate of change) can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

For Ronin's money box, we have:

Points (x, y) = (1, 70) (2, 67)

Slope = (67 - 70)/(2 - 1)

Slope = -3.

Since Tom's money box is given by this function y = -4x + 70. Thus, the slope is equal to -4.

In order to determine which slope (rate of change) is greater, we would take the absolute value of the slopes as follows:

Ronin = |-3| = 3.

Tom = |-4| = 4.

Therefore, Tom's function shows a greater rate of change because he spends $4 each month while Ronin spends $3 each month.

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:pretty sure it is B

Step-by-step explanation:dk

According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

What is Chebyshev's Theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.

According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.

So when k = 3.3

1 -  1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%

Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

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Answer:

\(y =2\)

\(x =3\)

Step-by-step explanation:

Given

The attached parallelogram

Required

Find x and y

Opposite sides are equal

So:

\(PQ = SR\ and\ QR = PS\)

This gives:

\(2y + 3 = y + 5\) -- (1)

\(4x - 3 = 4y + 1\) -- (2)

\(2y + 3 = y + 5\)

Collect like terms

\(2y - y= 5 - 3\)

\(y =2\)

\(4x - 3 = 4y + 1\)

Substitute \(y =2\)

\(4x - 3 = 4 * 2 + 1\)

\(4x - 3 = 9\)

Collect like terms

\(4x = 3 + 9\)

\(4x = 12\)

\(x =3\)

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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