The correct answer is A representative, random sample of individuals are questioned regarding their attitudes or behaviours. (Option B)
A) "Individuals are carefully observed in their natural environments" is a description of participant observation, which is a type of qualitative research method. In this method, researchers observe and interact with individuals in their natural environments in order to understand their behaviours and attitudes in context. This method is often used in fields such as anthropology, sociology, and psychology.
B) "A representative, random sample of individuals are questioned regarding their attitudes or behaviours" describes a survey, which is a quantitative research method. Surveys are used to gather information from a representative sample of individuals in order to make inferences about a larger population. Surveys can be conducted in various ways, such as through phone calls, mail or online and can be used to study the attitudes, behaviours, and characteristics of a population.
C) "An individual is studied in great depth" is a description of a case study, which is a qualitative research method. In this method, a researcher closely examines an individual or a small group of individuals in order to gain a detailed understanding of their experiences, behaviours, and attitudes. Case studies are often used in fields such as psychology, sociology, and anthropology.
D) "An investigator determines the extent to which two variables influence each other" is a description of a correlation study, which is a quantitative research method. In this method, the researcher examines the relationship between two or more variables. The researcher measures the values of the variables for a sample of individuals, and then uses statistical methods to determine the degree of association between the variables, and if there is a causal relationship or not.
Thus, The correct answer is A representative, random sample of individuals are questioned regarding their attitudes or behaviours. (Option B)
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3. Tell whether the set of ordered pairs {(3, 2), (4, 3), (5, 4), (6, 5)} satisfies a linear function. Explain.
a. No; there is no constant change in x that corresponds to a constant change in y.
b.
No; there is a constant change in x that corresponds to a constant change in y.
Yes; there is a constant change in x that corresponds to a constant change in y.dd T
Yes; there is no constant change in x that corresponds to a constant change in y.
d.
Find the x and
conto
The given set of ordered pairs does not satisfy a linear function.
What is a linear function?A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.
Given:
The given set of ordered pairs is:
{(3, 2), (4, 3), (5, 4), (6, 5)}
To find:
Whether the given set of ordered pairs satisfies a linear function or not.
Explanation:
The slope of a linear function is:
m = (y₂ - y₁)/ (x₂ -x₁)
The slope of the linear function passes through the points and is:
m₁ = (3-1)/(3-1)
m₁ = 2/2
m₁ = 1
The slope of the linear function passes through the points and is:
m₂ = (9-3)/(5-3)
m₂ = 6/2
m₂ = 3
Therefore m₁ ≠ m₂ therefore the given set of ordered pairs does not satisfy a linear function.
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I have no clue about this.
Help!
Answer: 294 feet^2
Step-by-step explanation:
Find the volume of the cube.
Find the cube root of the volume.
Plug this answer into the formula for finding the surface area of a cube.
(area = 6 · s2)
Answer:
294cm[tex]^{2}[/tex]
Step-by-step explanation:
A cube has 6 faces
To find out the area of one face, you'd have to do 7x7 (7[tex]^{2}[/tex]).
To find out the total surface area of the cube, use this equation to help you:
AREA= 6(the amount of faces of the cube) × 7[tex]^{2}[/tex](the area of ONE face)
so in other words...
AREA=6×7[tex]^{2}[/tex]
AREA= 294cm[tex]^{2}[/tex]
hope this helped:)
What scale factor was used to create the dilation below centered at point C?
Answer:
-2
Step-by-step explanation:
You want to know the dilation scale factor that gives triangle A'B'C from triangle ABC.
Scale factorWe notice that point A' is 4 units down and 2 units right of C, whereas A is 2 units up and 1 unit left of C. The ratio of these distances is the scale factor.
If up and right are positive, then ...
k = (A' -C)/(A -C) = (2, -4)/(-1, 2) = -2
The dilation scale factor is -2.
The table shows the approximate area
in square miles of the largest and smallest
states in the United States. What is the
difference between the areas in
square miles?
State
Area (mi?)
873
Alaska
Rhode Island
392
The difference between the areas is 481 square miles.
Given information:
Alaska is 873 sq miles in size, as well as Rhode Island, is 392 sq miles in total.
To determine the difference between the areas in square miles, the following calculation must be performed: subtract Alaska from Rhode Island square miles then we get:
Let X be the total difference:
873 - 392 = X
481 = X
Therefore, the difference in the areas in square miles is 481.
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Is Avogadro's number the same for all elements?
The Avogadro's number of every element remains is the same. The number of atoms of 1 mole in every element is Avogadro's number. One mole of an element is 6.02214076×10²³ atoms.
What is an atom?
Each atom is made up of a nucleus and one or more electrons that are linked to it. One or more protons and a significant number of neutrons make up the nucleus. Only the most prevalent type of hydrogen is neutron-free. Atoms that are neutral or ionized make up every solid, liquid, gas, and form of plasma.
The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of 6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.
The number of atoms of one mole substance is 6.02214076 × 10²³ which is Avogadro's number.
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what is the answer thank ya mate
Answer: The ship is going to another planet.
Step-by-step explanation:
I hate i-ready,
Your welcome mate
Given that there are 4 quarts, 8 pints, or 16 cups in 1 gallon, which of the following amounts is greater than 2 gallons? Select all that apply.
A) 5 quarts, 2 pints
B) 1 gallon, 3 quarts
C) 9 quarts
D) 40 cups
E) 1 gallon, 9 pints
Answer:
C, D, E
Step-by-step explanation:
express √832 in the form 4n where n is the integral
We can express √832 as 4(2√13).
What is definite integral?A definite integral of a function can be represented as the signed area of the region bounded by its graph.
Given is the root of 832 or √832.
Assume that {4n} is equal to {y}. So, we can write -
y = 4n
Squaring both sides, we get -
y² = (4n)² = (√832)²
y² = 16n² = 832
16n² = 832
n² = (832/16)
n² = 52
n = √52
n = 2√13
So, we can write (√832) as 4(2√13).
Therefore, we can express √832 as 4(2√13).
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Practice 2-2 Using number sense to solve Equations (PLEASE HELP)
The solutions for all the equations would be
1. p = 30
2. h = 99
3. t = 31.4
4. r = 57
5. t = 5
6. w = 8
7. y = 9
8. p = 7
9. a = 13
10. w = 12
11. h = 24
12. g = 128
13. a = 21
14. y = 39
15. d = 16
16. w = 25
What is an equation?
An equation is a statement that asserts the equality of two expressions. The expressions on either side of the equation are separated by an equals sign (=), and they must have the same value for the equation to be true.
1) 30p = 900
p = 900/30
p = 30
2) h/9 = 11
h = 9 * 11
h = 99
3) t + 32.4 = 62
t = 62 - 32.4
t = 31.4
4) r - 17 = 40
r = 40 + 17
r = 57
5) 5t = 25
t = 25/5
t = 5
6) 8w = 64
w = 64/8
w = 8
7) 9y = 81
y = 81/9
y = 9
8) p + 5 = 12
p = 12 - 5
p = 7
9) a + 2 = 15
a = 15 - 2
a = 13
10) w + 8 = 20
w = 20 -8
w = 12
11) h/6 = 4
h = 6 * 4
h = 24
12) g/8 = 16
g = 16 * 8
g = 128
13) a/7 = 3
a = 3 * 7
a = 21
14) y - 11 = 28
y = 28 + 11
y = 39
15) d - 4 = 12
d = 12 + 4
d = 16
16) w - 10 = 15
w = 15 + 10
w = 25
Hence, solutions for all the equations would be
1. p = 30
2. h = 99
3. t = 31.4
4. r = 57
5. t = 5
6. w = 8
7. y = 9
8. p = 7
9. a = 13
10. w = 12
11. h = 24
12. g = 128
13. a = 21
14. y = 39
15. d = 16
16. w = 25
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Complete the table for an object that goes 3/4 miles in 6 minutes.
Write any fraction as follows: 1/2 for one half
The speed of Ana is in miles per hour 7.5mph
By dividing the distance Ana covered by the amount of time she spent running, one may calculate her speed in miles per hour. Since the question asks for the speed to be calculated in miles per hour, an hour rather than a minute would be utilized as the unit of time.
Speed = distance ÷ time
Distance = 3/4
Time = 1/10
Speed = 3/4 ÷ 1/10
Speed = 3/4 x 10 = 15/2 miles per hour
or, 7.5mph
Divide the distance Ana covered by the time she ran to get her speed.
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The question is incomplete
Ana runs 3/4 mile in 6 minutes or 1/10 hour. Assuming she runs at a constant rate, what is her speed, in miles per hour
The length of the base of an isosceles triangle is x. The length of a leg is 5x -2. The perimeter of the triangle is 106. Find x. X =
Answer:
x = 10
Step-by-step explanation:
the legs of an isosceles triangle are congruent.
the perimeter is the sum of the 3 sides of the triangle
sum the 3 sides and equate to 106
x + 5x - 2 + 5x - 2 = 106
11x - 4 = 106 ( add 4 to both sides )
11x = 110 ( divide both sides by 11 )
x = 10
Marisol writes the equation 1. 6 : n=0. 16. Right your answer using an exponent. Explain how you know your answer is correct.
The equation 1.6: n = 0.16 can be written as: [tex]1.6 = 2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
What is an exponent?
An exponent is a mathematical operation that represents the number of times a value is multiplied by itself. It is usually written as a small number raised to the power of a larger number, such as 2^3, which means 2 multiplied by itself 3 times, or 2 * 2 * 2 = 8.
To write the equation 1.6: n=0.16 using an exponent, we can divide both sides of the equation by 1.6 to get: n = 0.16/1.6 = 0.1
And then we can raise the base 10 to the power of n: [tex]10^n = 10^{0.1} = 2.511[/tex]
Hence, the equation 1.6: n = 0.16 can be written as: [tex]1.6 = 2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
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The equation 1.6: n = 0.16 can be written as: 1.6 = [tex]2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
What is an exponent?
An exponent is a mathematical operation that represents the number of times a value is multiplied by itself. It is usually written as a small number raised to the power of a larger number, such as 2^3, which means 2 multiplied by itself 3 times, or 2 * 2 * 2 = 8.
To write the equation 1.6: n=0.16 using an exponent, we can divide both sides of the equation by 1.6 to get: n = 0.16/1.6 = 0.1
And then we can raise the base 10 to the power of n: [tex]10^n=10^{0.1}=2.511[/tex]
Hence, the equation 1.6: n = 0.16 can be written as: 1.6 = [tex]2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
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What is the value of 3 in tan?
The value of tan 3° is 0.0524.
tangent is the trigonometric ratio.
we can find out the value of tangent by taking perpendicular of the triangle divided by base of the triangle.
tan Q = perpendicular of the triangle /base of the triangle.
sine theta divided by cos theta gives the value of tan theta.
tan Q = sin Q/ cos Q.
some formula of the tan Q are as follows,
1- tan Q = sin Q/cos Q
2- tan Q= 1 /cot Q
3-tan^2 Q =sec^2 Q -1
4- tan(90 - Q)=cot Q
5- tan (Q+π) = tan Q
6- tan (π-Q) = -tan Q
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help help help help use slope form to write the equation of a line that passes through the point (7,-16) with slope 3.
required equation is, y=3x-37.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here, given that,
we have to find,
the equation of a line that passes through the point (7,-16) with slope 3.
we know,
y = mx+c
i.e. -16 = 3*7+c
so, c= -37
hence, required equation is, y=3x-37.
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Is the area of an equilateral triangle is 196 root 3 cm square then each of its side is?
Therefore , In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.
What is triangle?
Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.
What is polygons ?A polygon is a closed two-dimensional geometric shape that has three or more straight sides. The sides of a polygon are called edges and the points where the edges meet are called vertices.
Here,
We must apply the mathematical procedure for computing an equilateral triangle's area.
An equilateral triangle's area is equal to 3/4 of each side; assume that each side is x cm long.
[3/4 (a)2] cm2 is the equilateral triangle's surface area.
In light of the information mentioned in the query,
√3/4 × (a)² = 196√3
a²/4 = 196√3/√3
a²/4 = 196
a² = 196×4
a² = 784
a = √784
a = 28
In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.
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Lewis uses a half-cup of lemon juice for
every pitcher of lemonade he makes. If he
starts with a gallon of lemon juice and makes
19 pitchers of lemonade, is it reasonable to
assume he'll have enough juice left to make at
least 9 more pitchers? Explain.
Answer:
Yes
Step-by-step explanation:
there are 16 cups in a gallon. if he uses 1/2 a cup to make 1 pitcher, there would be 32 pitchers made. 19+9 is 28 so the answer is yes.
^^mark brainliest pls:D
What are the 3 steps for solving a quadratic equation?
Determine what a, b, and c are worth. the quadratic formula in writing. After that, enter the values for a, b, and c. Simplify.
what is quadratic equation ?A quadratic polynomial in a single variable is represented by the expression x ax2+bx+c=0, which is a quadratic equation. a 0. Since it is a second order polynomial, the Fundamental Theorem of Algebra guarantees that it has at least one solution. Simple or difficult solutions are both possible. The term "quadratic equation" refers to an equation that is quadratic. It must square at least one word, according to this indication. One of the common solutions for quadratic equations is the formula "ax2 + bx + c = 0." where the variables "X" are undefined and are numerical coefficients or constants a, b, and c.
given
steps are
Find out what a, b, and c are worth.
Quadratic formula: write it down.
Add the values of a, b, and c after that. Simplify.
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Uncle Drew scored 28 points in 5 5/6 minutes during a game of basketball. How many points did he average per minute during that 5 5/6 minutes?
Answer:
He scored an average of 4.8 points per minute.
ine segment SU is dilated to create S'U' using point Q as the center of dilation. The scale factor of the dilation is
The scale factor of the dilation is 2. An expansion happens when the scaling factor's absolute value exceeds one.
What does a scale factor mean when defining dilation?The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the center of dilatation. The scale factor and the center of dilation are used to determine the dilation transformation. The image stretches if the scaling factor is greater than 1.
As per the rule of scale factor
Q'U'/QU = SF
SF= Scale factor
= (5+5)/5= Scale factor
= 10/5= 2
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An online furniture store sells chairs for $200 each and tables for $450 each. Every day, the store can ship a maximum of 20 pieces of furniture and must sell at least $4800 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution. Inequality 1
Using the provided values and the conditions, The inequality equations required are : [tex]x+y \leq 20[/tex] and [tex]450x+200y \geq 4800[/tex].
What do you mean by equation?An equation is a mathematical statement in which two expressions are set equal to each other. It is typically written using an "=" sign, with the expressions on either side of the sign representing equivalent values. For example, the equation 2 + 2 = 4 states that the value of 2 plus 2 is equal to the value of 4. Equations can be used to express relationships and to solve problems.
What are inequalities?An inequality is a mathematical statement that compares two values or expressions. It is similar to an equation, but instead of using the "=" sign to indicate that the two sides are equal, it uses one of the following symbols: ">", "<", "≥", "≤" to indicate that the two sides are not equal. For example, the inequality 2 + 2 > 4 states that the value of 2 plus 2 is greater than 4. Similarly, the inequality 2 + 2 < 4 states that the value of 2 plus 2 is less than 4. Inequalities can be used to express constraints in a problem or to define a range of solutions. They can also be represented graphically by using a number line.
x= number of tables sold
y= number of chair sold
max furniture in a day = 20
so, [tex]x+y \leq 20[/tex].
least selling amount = 4800
so, [tex]450x+200y \geq 4800[/tex]
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Target offers a discount if you spend at least $50. Write an inequality to represent d, how much you must spend to receive the discount.
Answer:
d ≥ 50
Step-by-step explanation:
To receive the discount, you must spend at least $50, which can be represented by the inequality d ≥ 50. This inequality means that the amount you must spend (d) is greater than or equal to $50. If you spend more than $50, you will receive the discount. If you spend less than $50, you will not receive the discount.
Two cards are chosen at random from a standard 52-card deck. What is the probability that the first card is a heart and the second card is a 10
The probability that the first card is a heart and the second card is a 10 is 1/51.
What is the probability?Probability with Replacement is used for questions where the outcomes are returned to the sample space again. This means that once the item is selected, it is replaced in the sample space, so the number of elements of the sample space remains unchanged.
The following combinations are possible:
When we choose first card, total no. of card is 52 and card of heart is 13
so the probability of the first card to be heart is
P(1)= 13/52
= 1/4
When we choose second card, total no. of card is 51 and card of 10 is 4
so the probability of the first card to be 10 is
p(2)= 4/51
So the final probability is
= P(1)* P(2)
= 1/4 * 4/51
= 1/51
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What is math trying to do with me?
seriously
:^
Answer:
1.
Y would equal to 449 after plugging in 12 for x
2.
Y would equal to 239 after plugging 7 in for x
Step-by-step explanation:
We just have to plug in the values give too us and find what y equals.
1.
y=42(12)-55
y=504-55
y=449
2.
y=42x-55
we just have to plug in 7 for x.
y=42(7)-55
42*7=294
y=294-55
y=239
What is the measure of ∠A if it is complementary to ∠B that has a measure of 55?
For the given complementary angles, the measure of angle A is found to be 45°.
Define the term complementary angles?When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are referred to as supplementary angles.When two angles sum up to 90 degrees, they are complementary (a Right Angle). They don't even have to be close to one another for the total to be 90 degrees. Examples: The complimentary angles of 40° and 50°.For the stated question-
Angle A is complementary to Angles B.
So,
Angle A + Angles B = 90°
Angle A + 55° = 90°
Angle A = 90° - 55°
Angle A = 45°
Thus, the measure of angle A is found to be 45°.
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The average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years. What percent of fans are between 18 and 27 years old?
The percent of fans that are between 18 and 27 years old is 16.80%.
How to calculate the percentage of fans?From the information, the average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years and we want to calculate the percent of fans are between 18 and 27 years old.
It should be noted that this will be Illustrated through the normal curve.
The probability will be:
P(18 ≤ X ≤ 27)
= P(18 - 34/8) ≤ Z ≤ (27 - 34 / 8
= P(-2.0 ≤ Z ≤ -0.875)
= 0.1908 - 0.02275 (From the standard normal calculator)
= 16.80%
The percentage is 16.80%.
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A dishwasher at a restaurant washes 9 forks. These forks represent 4% of the forks owned by the restaurant. How many forks does the restaurant own?
Answer:
The restaurant owns 225 forks
Step-by-step explanation:
We can get our answer by displaying as an equality
9 to 4/100
x to 100/100
You can multiply 4 by 25 to get 100 so to get the amount of forks, multiply 9 by 25
9 * 25 = 225
Answer:
225 forks
Step-by-step explanation:
9 to 4/100
x to 100/100
Multiply 4 by 25 to get 100 so to get the number of forks, multiply 9 by 25!
9 * 25 = 225
Hope this helps.
What is the ratio for cos?
The ratio for cos (cosine) of angle θ is: cos(θ) = adjacent side of θ / hypotenuse
We know that in right triangle the cosine of an angle is nothing but the ratio of the side adjacent of given angle to the hypotenuse.
In right tirnagle for an angle θ, the ratio for cosine of angle θ would be:
cos(θ) = adjacent side of θ / hypotenuse
Consider following right triangle PQR with angle PQR = 90 degrees
Here, PR is the hypotenuse.
Assume that angle QPR measure α degrees and angle PRQ measures θ degrees.
By definition of cosine of angle θ,
cos(θ) = adjacent side of θ / hypotenuse
cos(θ) = QR / PR
And by definition of cosine of angle α,
cos(α) = adjacent side of α / hypotenuse
cos(α) = PQ / PR
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Complete the following function table for the linear equation y=4x-1
First we can find value of x and. When x=0 then y=-1 and x=1 then y= 3
What is linear equation explain?A linear equation is an algebraic equation of the form y=mx+b involving only a constant and a first-order (linear) term where m is the slope and b is the y-intercept.So the above given equation is called a "linear equation of two variables," where y and x are the variables.
How do you find the value of Y?Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.
Now we have y= 4x-1
lets x=0 then y= -1
x=1 then y=3
x=2 then y=7
To find slope
y=mx+c
y= 4x-1
so by comparing we can find m=4
Then we can evaluate given equation y=4x-1
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Which exponential function has an initial value of 2?
Of(x) = 2(3)
Of(x) = 3(2)
X
-2
-1
TY
f(x)
18
f(x) =2(3ˣ) is an exponential function which has an initial value of 2.
What is an exponential function?Another word for "involving an exponent" in mathematics is exponential. For instance, an exponential rise in a number occurs when you raise it to the tenth power.
A mathematical function with the formula f(x) = aˣ is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently seen. A variable is used as the exponent in exponential functions.
The exponential function that has an initial value of 2 is f(x) = 2ˣ.
f(x) = 2(3ˣ) can be written as f(x) = 2 × 3ˣ, so it starts at 2 × 3⁰ = 2 × 1 = 2.
f(x) = 3(2ˣ) can be written as f(x) = 3 × 2ˣ, so it starts at 3 × 2⁰ = 3 × 1 = 3
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A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman, sophomore, junior, and senior classes to complete the survey. This plan is an example of which type of sampling
This method is used when the population has distinct subgroups.
The plan to conduct a survey by randomly selecting 20 students from each of the freshman, sophomore, junior, and senior classes is an example of stratified random sampling.
In stratified random sampling, the population is first divided into subgroups or strata based on some characteristic, such as class level (freshman, sophomore, junior, senior), and a random sample is then selected from each stratum.
This method is used when the population has distinct subgroups and it is important to ensure that the sample is representative of each subgroup. In this case, by taking random samples of 20 students from each class level, the statistics class can ensure that the survey results accurately reflect the views of each class level and not just one particular group.
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