In experimental research, a control group does not receive the independent variable and is used to determine whether the independent variable influenced change in the dependent variable.
A test sample or the group that undergoes an experimental method is referred to as an experimental group. This group is exposed to modifications in the test's independent variable. The independent variable's values and its effects on the dependent variable are noted. Multiple experimental groups may be present at once during an experiment.
A control group is a subset of the experiment that is kept apart from the other groups so that the independent variable under test cannot affect the outcomes. Isolating the effects of the independent variable on the experiment can help rule out other possible explanations for the findings of the experiment.
control groups can be of two types:
Positive control groups are control groups when the circumstances ensure a favorable outcome. Positive control groups are useful for demonstrating that the experiment is running according to plan.Negative control groups are control groups where the circumstances result in a bad result. Negative control groups aid in identifying potential external factors, such as pollutants, that may be present but were not previously accounted for.to know more about 'control group' try:
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6. RSTU and MNOP are similar. Find the scale factor of RSTU to MNOP. Then find the values of x and y. Show your work.
The scale factor is 1.4
the value of x is 4.2
the value of y is 130
How to find the scale factorThe scale factor is calculated by checking the proportions of the sides
Let the scale factor be k
10k = 14
k = 14/10
k = 1.4
solving for x
15 * k = 5x
15 * 1.4 = 5x
5x = 21
x = 21 / 5
x = 4.2
solving for y
y + 50 = 180
y = 180 - 50
y = 130
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You are having a conference call with the CEO of a paper company. You have interpreted the number of trees cut down versus profit as the function P(x) = x^3 - 5x^2 − 2x + 24.
A.) how many zeros/roots will we have? Explain how you know. (1 points)
B.) What are the x-intercepts/roots/zeros? Show your work for finding these... (This should take some work to find! We did this in section 4.6) (5 points)
C.) What is the y-intercept of the graph? Explain how you know. (1 points)
D.) Describe the end behavior of this graph (3 points)
a) The number of zeros of the function is given as follows: 3.
b) The x-intercepts of the function are given as follows: x = -2, x = 3 and x = 4.
c) The y-intercept of the graph is given as follows: y = 24.
d) The end behavior of the function is given as follows: As x -> -∞, f(x) -> -∞, and as x -> ∞, f(x) -> ∞.
How to obtain the features of the function?The function is of the third degree, as it has a higher exponent of 3, hence the number of zeros is of 3.
The x-intercepts are the values of x for which the graph of the function crosses the y-axis, hence they are given as follows:
x = -2, x = 3 and x = 4.
The y-intercept is the graph of y when the graph of the function crosses the y-axis, hence it is given as follows:
y = 24.
The end behavior is given as follows:
Decay to left: As x -> -∞, f(x) -> -∞.Increases to right: as x -> ∞, f(x) -> ∞.More can be learned about functions at https://brainly.com/question/24808124
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A print of a famous painting is 1/3 the size of the original if the original is 9 feet long how long is the print
The print size of the painting is 3 ft long.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given that, a print of a famous painting is 1/3 the size of the original, the original is 9 feet long, we need to find the length of the print.
Let the print size of the painting be x ft long,
Since, the scale factor is 1/3
Therefore,
1/3 = 9/x
x = 9/3
x = 3
Hence, the print size of the painting is 3 ft long.
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graph the opposite of 6 on the number line
The opposite of 6 would be -6
Find the equation of the line represented by the graph below.
y = x+
The equation of the line represented by the graph is y = -x/3 + 5.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.(0,5)(6,3)
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (0, 6).Points on y-axis = (5, 3).At point (0, 5), a linear equation of this line can be calculated in slope-intercept form as follows:
y - 5 = (3 - 5)/(6 - 0)(x - 0)
y = -2/6(x - 0) + 5
y = -x/3 + 5
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The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 15%, interpret the likelihood of randomly selecting a terrier from the shelter.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event
Answer:
likely
Step-by-step explanation:
The value of 15% does not represent the probability of randomly selecting a terrier from the shelter. Probability is a measure of the likelihood that a certain event will occur, and 15% does not provide enough information to calculate a probability.
a circle is divided into 4 sectors, the ratio of whose areas is what is the central angle of the largest sector in degrees?
With the ratio of 1 : 2 : 3 : 6, the central angle of the largest sector of the circle is 180°.
A circle is a two-dimensional shape consisting of all points in a plane that are at a given distance from the center. Equivalently, we can define a circle to be the curve traced out by a point that moves in a plane so that its distance from the center (a given point) is constant.
A sector is defined to be a part of a circle that is made of the arc of the circle along with its two radii. The shape of a sector of a circle is identical to the shape of a slice of pie or pizza.
We're given a ratio of 1 : 2 : 3 : 6 of all the 4 sectors of a circle. The largest sector in degrees is indicated by 6 out of 12 (12 being the sum of numbers in the ratio). We know that a circle is divided into 360°. Therefore, the central angle θ of the largest sector is:
θ = 6/12 x 360°
θ = 1/2 x 360°
θ = 180°.
The complete question is "A circle is divided into 4 sectors, and the ratio of whose areas is 1 : 2 : 3 : 6. What is the central angle of the largest sector in degrees?"
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how many different possible options of combinations are available in binary code using eight bits?
1. 64
2. 16
3. 128
4. 256
There are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.
What are binary codes?A binary code uses a two-symbol system to represent text, computer processor instructions, or any other data.
The binary number system's "0" and "1" are frequently employed as the two symbols in this system.
Each character, command, etc. is given a set of binary digits, often referred to as bits, by the binary code.
A binary string of eight bits (also known as a byte) can, for instance, represent any of 256 possible values and hence a vast range of distinct things.
8 bits, or 8 binary digits, can be combined in 2⁸=256 different ways.
Some of these combinations are shown in the following table.
(The number in parentheses is the equivalent in decimal form.)
Therefore, there are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.
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help please will give brainliest no question
Answer:
The penguins swan 2 2/5 miles in one hour
Step-by-step explanation:
a package of aluminum foil contains 50. ft2 of foil, which weighs approximately 9.0 oz . what is the approximate thickness of the foil in millimeters?
The approximate thickness of the package of aluminum foil with given density and weight is equal to 0.002 millimeters.
1 ft = 30.48 cm
Area of aluminum foil = 50 ft²
= 50 × ( 30.48 )² cm²
= 46451.52 cm²
1 oz = 28.3495 grams
Weight of the aluminum = 9.0 oz
= 255.1455 grams
Density = 2.70 g/cm³
Density = weight / ( area × thickness )
⇒ Thickness = weight / ( area × density )
⇒Thickness = 255.1455 grams / ( 46451.52 cm² × 2.70 g/cm³ )
⇒Thickness = 0.00203
⇒Thickness = 0.002 millimeters
Therefore, approximate thickness of the aluminum foil is equal to 0.002 millimeters.
The above question is incomplete, the complete question is:
A package of aluminum foil contains 50. ft2 of foil, which weighs approximately 9.0 oz . Aluminum has a density of 2.70 g/cm3.What is the approximate thickness of the foil in millimeters?
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A regular polygon has an interior angle of 172°. Find the exterior angle and work out how many sides it has.
Answer:
Hi my dream princess
A regular polygon with an interior angle of 172° has the following characteristics:
Exterior angle: 360° / number of sides - interior angle.
Number of sides: 360° / exterior angle.
Using this information, we can find the exterior angle and the number of sides:
Exterior angle: 360° / number of sides - 172°.
Number of sides: 360° / (360° / number of sides - 172°).
Solving for the number of sides, we have:
Number of sides: 360° / (360° / number of sides - 172°)
= 360° / (360° / number of sides) - 172° / (360° / number of sides)
= number of sides - 172° / (360° / number of sides)
= number of sides (1 - 172° / 360°)
= number of sides * 188° / 360°.
Since we have a fraction involving a fraction, we can simplify:
Number of sides = number of sides * 188° / 360°
= number of sides * 47° / 90°
= number of sides * 47 / 90.
Since 47 and 90 are both divisible by 47, we can simplify further:
Number of sides = number of sides * 47 / 90
= number of sides * 1 / 2.
Therefore, the regular polygon has 2 sides and each exterior angle is 180°. The polygon is an isosceles triangle.
what is the correct solution for the arithmetic expression (2 8)/2*9/3 using the order of operations employed by oracle 12c when solving equations?
The correct solution to the arithmetic expression (2 8)/2*9/3 using the order of operations as employed by Oracle 12c when solving equations is 4.
According to the Order of Operations, the first step is to evaluate expressions inside parentheses, then perform any multiplications or divisions, and finally perform any additions or subtractions. In this expression, the first step would be to evaluate the expression inside the parentheses: (28)/2. This evaluates to 14.
Next, the expression becomes 14 * 9/3. According to the Order of Operations, we need to perform the multiplication first, so 14 * 9 = 126. Finally, we perform the division: 126/3 = 42.
So, the correct solution to the expression (2 8)/2 * 9/3 is 42.
Order of operations is a set of rules used to determine the sequence in which arithmetic operations should be performed in a mathematical expression to obtain the correct result. The rules ensure that operations are performed in a consistent and predictable manner.
The order of operations is typically represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
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given a list of a finishing times at a marathon, which function should you use to rank each runner's place based on these finishing times?
Answer:
Below
Step-by-step explanation:
Rank in order of SHORTEST time to LONGEST time ....
shorter times mean the runner was faster to the finish line.
help me plsssssssssssssssssss
Answer:
The answer is D.
Step-by-step explanation:
Find the domain of f(x) = -√√²-4.
Ox≥ 2 orx≤ - 2
Ο x >2
0x2 -2 or x ≤ 2
O all real numbers
The domain of the given function is x≤-2
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The function f(x)=-√(√-4x)²
Simplifying the expression we get
f(x)=-√(√-4x)²
f(x)= -√-4x
Case 1) If the domain of x is greater than 2 then we have
f(3)=-√-12 which is a complex number and thus is not possible.
Case2 id x≤-2
then we have
f(-2)=-√8 which is not complex
Thus the feasible domain of the function is given by x≤-2
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select all answer choices that show a correct comparison A 1/2 < 1/5 B 3/5 > 3/10 C 2/8 < 1/4 D 5/6 > 2/5 E 5/10 > 2/5 HELP WANTED
The true inequalities are:
B) 3/5 > 3/10
D) 5/6 > 2/5
E) 5/10 > 2/5
Which options show a correct compairison?Here we want to see which ones of the given inequalities are true.
Remember that an inequality:
A > B
Is true if the value of A is larger than the one of B.
From the given inequalities, the true ones are:
B) 3/5 > 3/10
That is true because the denominator is smaller on the left side.
D) 5/6 > 2/5
We can rewrite these fractions at:
25/30 > 10/25
E) 5/10 > 2/5
2.5/5 > 2/5
This is also true.
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Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile An important measure of location for categorical data is the a. mean b. median c. mode d. margirn
mean the least appropriate measure of central tendency for a data set that contains outliers
What is a mean in math?The mean (aka the arithmetic mean, different from the geometric mean) of a dataset is the sum of all values divided by the total number of values. It's the most commonly used measure of central tendency and is often referred to as the “average.The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data setMean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers. Mean = (Sum of all the observations/Total number of observations) Example: What is the mean of 2, 4, 6, 8 and 10To learn more about mean refers to:
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Write a conjecture that describes the pattern in each sequence. Then use your conjecture to find the next item in the sequence. 1, 10, 100, 1000
The conjecture that describes the pattern in each sequence is *10, the next item in the sequence. 1, 10, 100, 1000 is 10000.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
(till the terms to which it is defined)
Thus, the nth term of such sequence would be T_n = ar^{n-1} (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
Given;
The following sequence that can be used in our computation:
1,10,100,1000
In the above sequence, we can see that 4 is added to the previous term to get the current term
Using the above as a guide,
Next term = 1000*10
Evaluate
Next term = 10000
Therefore, the next term of sequence will be 10000.
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Tony wants to use his savings at the end of march to buy video games. The game cost $35.75 each. How many games can Tony buy?
Alice wants to use her savings at the end of two months to buy concert tickets. If the concert tickets cost $17.50 each, How many can she buy?
1. The number of games that Tony can buy will be 3 games.
2. The number of tickets that Alice can buy will be 6 games.
How to calculate the valuesA word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
The number of games that Tony can buy will be:
= (35.4 + 18.2) × 2.50 / 33.75
= 3.9
= 3 rounding down
The number of tickets that Alice can buy will be:
= (21.8 + 26.6) × 2.50 / 17.50
= 6 games.
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Find the amount in a continuously compounded account for the following condition.
Principal, $3000; Annual interest rate, 5.5%; time, 3 years
The balance after 3 years is $___
(Round the final answer to the nearest cent as needed. Round all intermediate values to five decimal places as needed.)
Answer:
9300$
Step-by-step explanation:
The perimeter of a rectangle is 76 inches. Find the length and width if the length is an integer and the width is 2 times the next consecutive integer.
The length and the width of the rectangle are 8. 5 inches and 21 inches
How to determine the value of the sidesIt is important to note the the formula for the perimeter of a rectangle is expressed as;
P = 2(L + W)
Given that;
P is the perimeter of the rectangleL is the length of the rectangleW is the width of the rectangleWe have that;
P = 76 Inches
L = l
W = 2(l + 2)
Substitute the values
76 = 2( l + 2l + 4)
collect like terms
76 = 2(4l + 4)
expand the bracket
76 = 8l + 8
collect like terms
8l = 68
l = 8. 5 inches
Width, w = 21 inches
Hence, the values are 21 inches and 8. 5 inches
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The length and width of the rectangle are 12inches and 26 inches
What is perimeter of a rectangle?The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.
Represent the length of the rectangle by x and width by y
y = 2(x+1)
P = 2(l+w)
Represent 2(x+1) for y
P= 2(x + 2( x+1) )
P= 2( x+ 2x +2)
P = 2(3x+2)
P =6x +4
76 = 6x +4
6x = 76 - 4
6x = 72
divide both sides by 6
x = 72/6
x = 12
y = 2( 12+1)
y = 2× 13
y = 26 inches
therefore the length of the rectangle is 12inches and the width is 26inches
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Wich are the dividers of 25? And 120 and 71 and 24
Answer:
the dividers of 25 are: 1, 5, and 25.
the dividers of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
the dividers of 71 are: 1, 71.
The dividers of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.
Step-by-step explanation:
when constructing a confidence interval for a population proportion, we check that the sample size is less than 10% of the population size. a. why is it necessary to check this condition? b. what happens to the capture rate if this condition is violated?
(a) A reasonable guideline for ensuring that the sample size is small enough to give credible findings is to confirm that the sample size is less than 10% of the population size.
(b) The confidence interval may not correctly reflect the genuine population proportion, resulting in incorrect inferences and actions based on the findings.
(a)
This condition must be checked since the sample size must be much less than the population size to ensure that the sample is representative of the population. A high sample size may not fully represent the population, resulting in biased results.
(b)
If the sample size exceeds 10% of the population size, the "10% criterion" is violated. When this requirement is broken, the capture rate may rise, but the accuracy of the confidence interval may fall. As a result, the confidence interval may grow broader and less reliable in capturing the genuine population percentage.
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What is the total surface area of the square pyramid below?
The total surface area of the square pyramid is; 336 ft²
How to find the total surface area of the square pyramid?To find the total surface area of the square pyramid, we will first of all calculate the areas of the individual shapes into which it is broken down and then add up to get the total surface area.
Area of a triangle is given by the formula;
A = ¹/₂ * base * height
Thus, area of 4 triangles here is;
A = 4(¹/₂ * 12 * 8)
A = 192 ft²
Area of square = 12 * 12
= 144 ft²
Thus;
Total surface area of square pyramid = 192 + 144
= 336 ft²
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a certain town of population size 100,000 has three newspapers: i, ii, and iii. the proportions of townspeople that read these papers are: i: 10%, i and ii: 8%, i and ii and iii: 1%, ii: 30%, i and iii: 2%, iii: 5%, ii and iii: 4%. (note that, for example, the 10% of people who read newspaper i might read only i or might read i and some other paper(s) ). a) find the number of people who read only one newspaper. b) how many people read at least two newspapers?
A. The number of people who read only one newspaper is 45,000
B. The number of people who read at least two newspapers is 15,000.
How did we get the values?a) 10% of 100,000 people read only newspaper i, 30% of 100,000 people read only newspaper ii, and 5% of 100,000 people read only newspaper iii.
10% of 100,000 = 10,000
30% of 100,000 = 30,000
5% of 100,000 = 5,000
Therefore, the number of people who read only one newspaper is 45,000.
b) 8% of 100,000 people read both newspaper i and ii, 1% of 100,000 people read all three newspapers, 2% of 100,000 people read both newspaper i and iii, and 4% of 100,000 people read both newspaper ii and iii.
8% of 100,000 = 8,000
1% of 100,000 = 1,000
2% of 100,000 = 2,000
4% of 100,000 = 4,000
Therefore, the number of people who read at least two newspapers is 15,000.
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HELP pls will mark you the brainliest
Answer:
first one; Y=4x+8
second one; Y=2x+20
3rd: kites are fun and then windy kites
Step-by-step explanation:
HELP PLS !!!!
5. Explain how iteration and using a recursive formula are similar.
1. iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer
2. Iteration uses the subsequent value to find the previous value, and recursive formulas require a sequence to work
3. Iteration is similar to using a recursive formula because both processes use the same initial value.
4. Both iteration and recursive formulas generate only arithmetic sequences.
Answer:
1) Iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer.
Iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer. The correct option is A.
What are iteration and recursive formulas?The process of defining a problem or the solution to a problem in terms of a simpler version of itself is known as recursion. There are two kinds of recursion. The first is direct recursion, and the second is indirect recursion.
As a result, recursion is a method of problem-solving in which the solution is dependent on solutions to smaller instances of the same problem.
Therefore, the correct option is A, which is Iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer.
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what information can you gather from the standard deviation, particularly as it pertains to the percentage of normal distribution?
The standard deviation of a data set provides information about the spread or dispersion of the data around the mean.
It helps to determine the percentage of normal distribution in the data. If the standard deviation is small, it indicates that the data is tightly clustered around the mean and a high percentage of the data falls within a few standard deviations of the mean. On the other hand, if the standard deviation is large, it suggests that the data is more spread out and a smaller percentage of the data falls within a few standard deviations of the mean.
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. So, the standard deviation provides insight into the proportion of data points that are close to the mean, and therefore, the shape of the distribution.
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Consider this expressi
√2³ 7 + |-4|
Triangle RST is shown in the coordinate plane. What are the coordinates of R'S'T' if the figure is reflected over the x-axis and translated down two units? Responses (1, 2), (1, 5), (6, 5) (1, 2), (1, 5), (6, 5), (1, -6), (1, -9), (6, -9) (1, -6), (1, -9), (6, -9) , (3, 2), (3, 5), (8, 5) (3, 2), (3, 5), (8, 5) ,(3, 4), (3, 7), (8, 7) (3, 4), (3, 7), (8, 7) ,
The reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).
What is reflection?A sort of symmetry known as reflective symmetry occurs when one half of an object mirrors the other half. It also goes by the name "mirror symmetry."
For instance, both the left and right sides of a human face are typically the same. Most butterflies have identical wings on their left and right sides.
The given points of the triangle are R(3,-4), S(3,-7), and T(8,-7).
The reflected points of the triangle will be:-
R(3,-4) = R'( 3, 4)
S(3,-7) = R'(3,7)
T(8,-7) = R(8, 7)
The translated points by 2 units down will be:-
R'( 3, 4) = R''( 3, 2)
R'(3,7) = S''( 3, 5)
R(8, 7) = T''(8,5)
Therefore, the reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).
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Answer:
so the other guy can get brainlyest
Step-by-step explanation:
pls like and rate