find the angles marked with the letters.​

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.

Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

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Step-by-step explanation:

In India, the first step towards criminal proceeding is an investigation by the police. The investigation is the exclusive domain of the police and can not be curtailed in normal circumstances. The main purpose of an investigation is the identification of the offender so as to serve him with punishment for the crime done by him in accordance with the provisions contained under law. According to Section 156 of the Code of Criminal Procedure, the police have unfettered powers to investigate into a cognizable offence. The term cognizable offence is any act or omission committed by a person under any law in force which is punishable and is considered to be a crime. The police have the authority to arrest any person who has committed a cognizable offence. Beside Criminal investigation, there are other types of investigations which become the part of the life of an investigator. Some of the types of investigation are as follows:

Civil investigation: These are the investigations which are carried on during the civil suits in which violation of law is generally not included and the question of money or property is to be settled;

Negligence investigation: These types of investigations are conducted either by the plaintiff’s counsel to prove the liability of the defendant or by the defendant’s attorney to refute the claims of the plaintiff. It is accomplished by the use of surveillance, interviewing the witnesses;

Corporate investigation: In Corporate investigations the investigator monitors the business of the company and also provides the information about the fraud within or outside the company;

General investigation: It is like an umbrella term including a great variety of investigative activities. These activities may be conducted for different purposes like the determination of the location of witnesses, dishonest employees, fraud etc.

Answer: 1/2

Step-by-step explanation:

The reason that the odds are 1/2 is because,

There are 52 cards

26 are red

26 are black

you have a 1/2 chance of pulling a red or black from the deck because half of the cards are red and the other half is black

Answer:

it is D

Step-by-step explanation:

there are an equal amount of red and black cards

Answer:

x = 13

Step-by-step explanation:

7x/7 = 91/7

cancel the common factor of 7

cancel the common factor

7x/7 = 91/7

divide x by 1

x = 91/7

simplify the right side

divide 91 by 7

x = 13

Answer:

High

Step-by-step explanation:

The probability is high because those 66 students could have 10 really fast readers that change that wpm. Or they could have 15 slow readers that could change the wpm and make it go down.

There are many possibilities.

The given statement is FALSE.

If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.

When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.

When you have a skewed distribution, the median is a better measure of central tendency than the mean

The median and mean can only have one value for a given data set. The mode can have more than one value

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Answer:

1920

Step-by-step explanation:

What we can do is split this into two sections: the volume of the rectangle and the volume of the square.

Rectangle: We can follow the equation V = lbh, so we have 14x8x10, giving us 1120.

Square: We can use the same equation, V = lbh, giving us 10x10x8 which is 800.

Final Answer: To get the full volume, we have to add these together, so, 1120 + 800 = 1920.

Answer:

Step-by-step explanation:

To answer this problem, we may use the information provided about the quadrilateral's side ratio and the difference between the smallest and longest sides.

To begin, we may utilize the difference in length between the shortest and longest sides (7.5 cm) to establish a baseline for one of the sides. We may infer that the shortest side is 7.5 cm and the longest side is (7.5 cm + 7.5 cm) = 15 cm since the difference between the shortest and longest sides is 7.5 cm.

We can calculate the length of the other three sides using the side ratio:

We sum together all the sides to find the quadrilateral's perimeter:

Perimeter = 67.5 cm = 7.5 cm + 11.25 cm + 18.75 cm + 30 cm

As a result, the quadrilateral's perimeter is 67.5 cm.

Answer:

There are 25 students in the class.

Step-by-step explanation:

Let x be the number of students in the class

12% failed and the number of students is 3

x*12% = 3

x*.12 = 3

Divide each side by .12

x * .12 /.12 = 3/.12

x =25

There are 25 students in the class

Answer:

25 students.

Step-by-step explanation:

12% is 3 students.

100% is the number of students in the class.

3 times 100 divided by 12 is 25.

So there are 25 students in the class.

Emma may be correct because the addition of 1, 2 and 4 gives 7

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

Sequence: 1 2 4

Emma says that the next term is 7

This statement may be true because the addition of 1, 2 and 4 gives 7

i.e. next term = 1 + 2 + 4

Evaluate

next term = 7

Hence, Emma is right

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The equation of the line that contains the point P(-4,6) and has slope 4 is  y=4x+22 .

The equation of line passing through the point (x₁,y₁) with slope (m) is given by the formula

(y-y₁)=m(x-x₁)

In the question ,

it is given that

the required line passes through the point P(-4,6) and has slope 4

So, x₁= -4 , y₁=6 and m = 4

Substituting the values of x₁, y₁ and m in the equation of line formula , we get

y-6=4(x-(-4))

y-6=4(x+4)

y-6=4x+16

y=4x+16+6

y=4x+22

Therefore , the equation of the line that contains the point P(-4,6) and has slope 4 is  y=4x+22 .

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Answer:

V/3k = t

Step-by-step explanation:

Isolate the variable (t)

V = 3k/t

We have to get rid of 3 and k to isolate t

Since 3 and k are part of a fraction we can multiply it by their reciprocal

V = 3k/t × 1/3k

What we do to one side, we must do to the other

V × 1/3k = 3k/t × 1/3k

The reciprocals equals 1

V × 1/3k = t × 1

Any number or variable multiplied by 1 equals itself (applies to both sides of the equation)

V/3k = t

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Step-by-step explanation:

We can verify our result by converting the binary numbers to respective decimal numbers and then dividing the dividend by the divisor to get the result.

Here, (110101.11)2 = (53.75)10, (101)2 = (5)10 and (1010.11)2 = (10.75)10. When we will divide 53.75 by 5, we will get the result as 10.75, which we are getting by doing division of binary numbers. Hence our solution is correct.

Answer:

B? I think itts B

Step-by-step explanation:

The sum of the simple probabilities for a collectively exhaustive set of outcomes must be equal to one, serving as a fundamental principle of probability theory. This principle holds true for any situation where events are mutually exclusive and cover all possible outcomes.

The sum of the simple probabilities for a collectively exhaustive set of outcomes must be equal to one.

This fundamental principle is a cornerstone of probability theory and ensures that all possible outcomes are accounted for.

To understand why the sum of probabilities must equal one, let's consider a simple example. Imagine flipping a fair coin.

The two possible outcomes are "heads" and "tails." Since these two outcomes cover all possibilities, they form a collectively exhaustive set. The probability of getting heads is 0.5, and the probability of getting tails is also 0.5.

When we add these probabilities together (0.5 + 0.5), we get 1, indicating that the sum of probabilities for the complete set of outcomes is indeed one.

This principle extends beyond coin flips to any situation involving mutually exclusive and collectively exhaustive events.

For instance, if we roll a standard six-sided die, the probabilities of getting each face (1, 2, 3, 4, 5, or 6) are all 1/6.

When we add these probabilities together (1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6), we again obtain 1.

The requirement for the sum of probabilities to equal one ensures that the total probability space is accounted for, leaving no room for events outside of it.

It provides a mathematical framework for reasoning about uncertain events and allows us to quantify the likelihood of various outcomes.

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The mean absolute deviation is  calculated for both the 2-month and 3-month moving averages. The mean absolute deviation based on the 2-month average of March through April is $0.055, while the mean absolute deviation based on the 3-month average of April is $0.048. Based on the mean absolute deviation, the 3-month moving average performs better.

To calculate the forecast for March and April using a 2-month moving average, we take the average of the prices from January and February for the forecast of March, and the average of the prices from February and March for the forecast of April.

To calculate the forecast for April using a 3-month moving average, we take the average of the prices from February, March, and April.

The mean absolute deviation is calculated by taking the absolute difference between the forecasted prices and the actual prices for each month, and then calculating the average of these differences. This gives us a measure of the average deviation from the actual prices.

Based on the mean absolute deviation values, we can compare the performance of the 2-month and 3-month moving averages. A lower mean absolute deviation indicates better performance in terms of accuracy in predicting the chip prices.

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The probability of getting the fewer than four twos is 0.5665.

       P(X = x) = C(n,x). p ˣ .(1 - p)ⁿ⁻ˣ

        C(n,x) = n!/x!(n-x)!

For the given question-

p is the likelihood that X will occur.

20 times of a die are rolled;

This indicates that; n = 20.

Six sides, one of which is two:

This indicates that; p = 1/6 = 0.1667.

Probability of having three or fewer twos:

Such is:

P(X < 4) = P(X = 0) +  P(X = 1) + P(X = 2) +  P(X = 3)

So,

P(X < 4) = C(n,x).  p ˣ .(1 - p)ⁿ⁻ˣ

P(X = 0) = C(20,0).  0.1667⁰ .(0.8333)²⁰

P(X = 0) = 0.0261

P(X = 1) = C(20,1).  0.1667¹ .(0.8333)¹⁹

P(X = 1) = 0.1043

P(X = 2) = C(20,2).  0.1667 ² .(0.8333)¹⁸

P(X = 2) = 0.1982

P(X = 3) = C(20,3).  0.1667³ .(0.8333)¹⁷

P(X = 3) = 0.2379

P(X < 4) = P(X = 0) +  P(X = 1) + P(X = 2) +  P(X = 3)

P(X < 4) = 0.0261 +  0.1043 + 0.1982 + 0.2379

P(X < 4) = 0.5665

Thus, the probability of getting the fewer than four twos is 0.5665.

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Answer:

2.42666666666666666

Step-by-step explanation:

2.56+2.02+2.7 = 7.28

7.28/3 = 2.426666666

Answer:

x=4 b=-4/3

Step-by-step explanation:

for b you simplify both sides of the equation, and then you get -7b - 1 = 5B + 15 then you subtract 5 from both sides which gets you to -12b - 1 = 15 then you divide both sides by negative 12 which would be negative 12 b - -12 = 16-12 which gives you the answer of -4/3.

for x you would subtract 3x from both sides which gets you to 6x - 17 = 7 and then you would add 17 to both sides which would give you 6X = 24 and then you would divide both sides by 6 which would give you x = 4

To find out the exact height of a right triangle with an angle that measures 30 degrees adjacent to a base of 10, we will use the trigonometric ratio of tangent. The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

So, tan(30) = Opposite / 10To get the value of the opposite side, we multiply both sides by 10.tan(30) × 10 = Opposite Simplifying the left side, tan(30) = sin(30) / cos(30) = (1 / 2) / ( √3 / 2) = 1 / √3Thus,Opposite = 10 × (1 / √3) = 10√3 / 3 Hence, the exact height of the right triangle is 10√3 / 3. The exact height of the right triangle is 10√3 / 3. The trigonometric ratio of tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side.

In a right triangle, the adjacent side is the side that forms the angle in question and the opposite side is the side that is opposite to the angle. The base of the right triangle is the adjacent side because it is the side that forms the angle of 30 degrees, which is adjacent to it. We have a base of 10 and an angle of 30 degrees, adjacent to it. We are required to find the exact height of the right triangle, which is the opposite side of the angle of 30 degrees. Using the tangent ratio of the angle of 30 degrees, we can find the exact height. To find the tangent of an angle of 30 degrees, we use the values of sine and cosine of the angle. The sine of an angle of 30 degrees is 1/2, and the cosine of an angle of 30 degrees is √3/2. Thus, the tangent of an angle of 30 degrees is equal to (1/2)/(√3/2) = 1/√3. This gives us the ratio of the opposite side to the adjacent side of the angle of 30 degrees. We know the adjacent side is 10, so we multiply it by the ratio we just calculated to get the opposite side. Thus, the exact height of the right triangle is 10 × (1/√3) = 10√3/3. Therefore, the answer is that the exact height of the right triangle is 10√3/3.

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The equation that requires the multiplication property of equality to be solved is:

\(\boxed{\sf \dfrac{a}{6}=420}\)

Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.

The multiplication property states that:

Out of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.

That is:

\(\text{If} \ {\sf \dfrac{a}{6}=420}\)

\({\sf \dfrac{a}{6}\times6=420\times6\)

\(\sf a=2520\)

Hence, the equation that requires the multiplication property of equality to be solved is:

\({\sf \dfrac{a}{6}=420}\)

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Answer:

63

Step-by-step explanation:

The probability of landing in any yellow region is the area of the yellow region divided by the total area of the square, which is (π + 2) / 4. This is the exact probability.

To find the probability of landing in any yellow region of the square, we need to calculate the area of the yellow regions and divide it by the total area of the square.

Let's consider one of the quarters of the square, which is symmetrical. The yellow region consists of a quarter of a circle with radius 1 unit, and a right-angled triangle with sides of length 1 unit.

The area of the quarter circle is (1/4)π\(r^2\) = (1/4)π(\(1^2\)) = π/4.

The area of the right-angled triangle is (1/2) \(\times\)1 \(\times\)1 = 1/2.

Therefore, the total area of the yellow region in one-quarter of the square is (π/4) + (1/2) = (π + 2)/4.

Since the square has four identical quarters, the total area of the yellow region in the entire square is 4 \(\times\)[(π + 2)/4] = π + 2.

The probability of landing in any yellow region is the area of the yellow region divided by the total area of the square, which is (π + 2) / 4. This is the exact probability.

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If the sales tax in Brian’s area is 8.51%, then Brian pay in total is option (d) $507.96

Brian's credit card has an interest rate of 9.4% compounded monthly, which means that the interest is calculated based on the balance of the credit card at the end of each month. Therefore, the interest will accumulate over time, and Brian will have to pay more than the base price of $435.

Additionally, the sales tax in Brian's area is 8.51%, which means that he needs to pay this percentage of the total cost of his purchase as well.

To calculate how much Brian paid in total, we need to take into account the base price, the interest rate, and the sales tax.

First, let's calculate the total cost of the air conditioning unit including sales tax. The sales tax is 8.51% of the base price, which is:

8.51% x $435 = $37.02

So, the total cost of the air conditioning unit including sales tax is:

$435 + $37.02 = $462.04

Now, let's calculate how much Brian paid in interest. Since the interest rate is compounded monthly, we need to divide the annual rate by 12 to get the monthly rate. Therefore, the monthly interest rate is:

9.4% / 12 = 0.78333% (rounded to five decimal places)

Over a year and a half (or 18 months), the interest accumulated on Brian's credit card balance can be calculated using the following formula:

\(A = P(1 + r/n)^{nt} - P\)

where A is the total amount paid, P is the principal amount (which is the same as the base price of the air conditioning unit), r is the interest rate in decimal form, n is the number of times the interest is compounded per year (which is 12 in this case since the interest is compounded monthly), and t is the time in years (which is 1.5 in this case since Brian made monthly payments for a year and a half).

Substituting the values we have:

A = $435\((1 + 0.0078333)^{12\times1.5}\) - $435 = $45.92

Therefore, the total amount of interest paid by Brian is $45.92.

Finally, to calculate the total amount that Brian paid, we need to add the total cost of the air conditioning unit including sales tax and the total amount of interest paid:

$462.04 + $45.92 = $507.96

So, the correct answer is (d) $507.96, rounded to the nearest cent.

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FIFO: March 16 - Accounts Receivable 21,250, Sales Revenue 21,250, Cost of Goods Sold 13,750, Inventory 13,750.

LIFO: March 16 - Accounts Receivable 21,250, Sales Revenue 21,250, Cost of Goods Sold 14,500, Inventory 14,500.

The FIFO inventory valuation method assumes that the items purchased first are sold first. Therefore, for the March 16 sale, we need to record the cost of goods sold using the cost of the oldest units still in inventory. In this case, since 550 units were purchased on January 1 and 350 units were purchased on February 5, the cost of goods sold would be calculated based on the cost of the 250 units from the January 1 purchase, which amounts to SAR 13,750. The corresponding entry reduces the inventory and records the cost of goods sold.

The LIFO inventory valuation method assumes that the items purchased last are sold first. Thus, for the March 16 sale, we need to record the cost of goods sold using the cost of the most recent units purchased. Since 350 units were purchased on February 5, the cost of goods sold would be calculated based on the cost of these units, which amounts to SAR 14,500. The corresponding entry reduces the inventory and records the cost of goods sold.

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The halves of triangle CAD are congruent, because sides CB and BA are congruent, they share the center side, and both are right triangles. So, CD = AD, or:

5x + 1 = 4x + 4
5x + 1 - 1 = 4x + 4 - 1
5x = 4x + 3
5x - 4x = 4x + 3 - 4x
x = 3

AD = 4x + 4
= 4(3) + 4
= 12 + 4
= 16
AD = 16

\(\huge \boxed{\sf 16} \\\\\\\displaystyle \sf Both\ right\ triangles\ are\ a\ reflection\ of\ each\ other.\\ Thus,\ they\ are\ equal\ in\ size.\\\\5x+1=4x+4\\5x-4x=4-1\\x=3 \\\\Substituting\ x=3\\\\4(3)+4=12+4=16\)

Answer:

-13

Step-by-step explanation:

Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13

Answer:

3x + 10? i'm not sure lol im sorry if its wrong.

Step-by-step explanation: