Answer:
the answer is the third one 3
To promote a new brand of shoes, a shoe store will run
a promotion using a jar containing 3 red balls marked
"10% off," 2 white balls marked "30% off," and
1 green ball marked "60% off." Each customer will
randomly select 1 ball from the jar to determine the
discount that the customer will receive on any single
pair of the new brand of shoes. Given that the new
brand of shoes regularly costs $60 per pair, what is the
average discount amount, in dollars, that the store can
expect to give each customer due to this promotion?
Based on the percentage discount that one gets from the promotion using a jar, the average discount amount the shoe store can expect to give each customer is $15.
How much discount will the shoe store give on average?The average discount in percentages will be:
= (3/6 x 10%) + (2/6 x 30%) + (1/6 x 60%)
= 5% + 10% + 10%
= 25%
The average discount in cash amounts is:
= 25% x 60
= $15
In conclusion, the average discount amount that the store can expect to give each customer in dollars is $15.
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Which of the following is correct equation for the trend line in the scatter plot? A. Y= 2/5 x -2 B. Y= 5x-1 C. Y= 5x +5 D. Y= -x+5
Answer: C. Y = 5x + 5
Step-by-step explanation:
We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. See attached for a visual.
First, we will find our slope. We will use \(\frac{rise}{run}\) for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.
-> Slope = 5
Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.
-> Y-intercept = 5
Lastly, we will write our equation and decide on an answer.
y = mx + b
y = (5)x + (5)
Y = 5x + 5
C. Y = 5x + 5
i need help asap will give a lot of points
Answer:
the answer is 1.
Jason can check his answer by putting the value of x into the equation given. The equation that was given in the question is: –8.5x – 3.5x = –78.
The value of x that will make the linear equation in the algebraic expression true is 6.5
What is Linear EquationA linear equation is a mathematical statement, which has an equality statement between the algebraic expression. In all linear equations, they represent equations with a degree of 1. This is also the equation for the straight line. The solutions to linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable just as given in this question, we expect the value of the answer to be one.
In the question, we have an equation given as;
-8.5x - 3.5x = -78
To determine what value of x will make the equation true, we have to simplify the equation.
-8.5x - 3.5x = -78
-12x = -78
Divide both side by the coefficient of x
-12x / -12 = -78/-12
x = 6.5
The value of x is 6.5
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O
-200
Is the√8 a rational or irrational number?
irrational, because
its decimal
rational, because all
expansion does not radicals are rational
repeat
rational, because its
decimal expansion
eventually repeats
Sod
3980 207
irrational, because
all radicals are
irrational
Sign out
Dec 15
The square root of 8 is an irrational number, because it is not an exact square root.
What are rational and irrational numbers?The rational numbers are composed by the set of all numbers that can be represented by fractions, such as whole numbers, terminating decimals, or repeating decimals.
The irrational numbers, conversely, are composed by the set of numbers that cannot be represented by fractions, such as non-exact roots and non-terminating decimals.
The square root of 8 is non-exact, hence it is an irrational number, as the square root is then a non-terminating and non-repeating decimal.
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drag the gray arrow so that it is pointing midway between horizontal and vertical, heading downward and toward the right. extend it as far as it will go. what do you notice about the speed of the star as compared to the speed of the star relative to earth?
The speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
A star moving away from the observer (say on Earth) will have its emitted light red-shifted (move to lower frequency), i.e., the spectrum moving to left if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving towards the observer (say on Earth) will have its emitted light blue-shifted (move to higher frequency), i.e., the spectrum moving to the right if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving perpendicular to the observer (say on Earth) will have its emitted light will no change with respect to the spectrum of the stationary star.
These are due to the Doppler effect, the equation of frequency detected by the observer as
\(f_o = f_s\sqrt{\frac{1-\beta }{1+\beta } }\) where \(\beta = \frac{v}{c}\), v the relative velocity of the moving source (the star here), f^s is the frequency of light emitted by the source.
Hence the answer is the speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
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by observing a set of data values, thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ
A person weighing 173 pounds can burn 10.7 calories per minute.
The given equation is ŷ=2.2+0.05x.
To solve this question, we can use the equation given, ŷ=2.2+0.05x. We can insert the known weight value, 173 pounds, to calculate the anticipated calories burned per minute.
y = 2.2 + 0.05x
y = 2.2 + 0.05 × 173
y = 10.7
Therefore, a person weighing 173 pounds can burn 10.7 calories per minute.
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"Your question is incomplete, probably the complete question/missing part is:"
By observing a set of data values, Thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ=2.2+0.05x
Based on the information gathered by Thomas, select the statement that is true.
a) A person weighing 149 pounds can burn 9.8 calories per minute.
b) A person weighing 134 pounds can burn 8.9 calories per minute.
c) A person weighing 125 pounds can burn 8.3 calories per minute.
d) A person weighing 173 pounds can burn 10.7 calories per minute.
Answer:
A person weighing 134 pounds can burn 8.9 calories a minute.
Step-by-step explanation:
Im so confused… PLEASE HELP.. also sorry its so dark but its 6,6
Answer:
what is it asking?
Step-by-step explanation:
if its how many cubes it needs for it to fill up its 9
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of c =: (1 point) Consider the function graphed below. P n ? Does this function satisfy the hypotheses of the Mean Value Theorem on the interval a, b ? Does it satisfy the conclusion?? f(b) f(a)2 At what point c is f'(c) b - a
Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2 such that f'(c) = 0.
Given:
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.
f(x)=x^2−4x+8, [0,4]
when, x = 0
f(x) = x^2 -4x +8
f(0) = y = 0 - 0 + 8 = 8
when, x=4
f(5) = y = 16 - 16+8 =
thus, we have 2 points (0, 8) ; (4, 8)
slope,m = {8-(8)} / {4-0} = 0
hence, we have to calculate all the points,x where 0<x<8 and slope=0
f '(x) = 2x - 4 = 0
or, f '(c) = 2c - 4 = 0
c = 4/2 =2 ( 0<x<4)
hence, the there is only one solution c=2 which satisfies Rolle's theorem.
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Reflect the triangle over the y-axis and find the coordinate of the image of point K.
K’(2, 1)
K’(–2, 1)
K’(–2, –1)
K’(2, –1)
K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.
Therefore, the coordinate of the image of point K is K’(-2, 1).
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Jenny está en la página 250 de su novela de 375 páginas, Gabriel está en la página 243 de las 405páginas de la suya y Jessica está leyendo la página 448 de las 768 páginas de la suya. ¿Quién ha hecho lalectura más alejada de su novela y qué fracción de la novela los separa de los demás?
Answer:
Jenny es la más alejada de su novela, con 6.66/100 por delante de Gabriel, y 8.33/100 por delante de Jessica.
English Translation: "Jenny is furthest through her novel, at 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica."
Step-by-step explanation:
Translation to English: "Jenny is on page 250 of her 375-page novel, Gabriel is on page 243 of the 405 pages of hers, and Jessica is reading page 448 of the 768 pages of hers. Who has done the furthest reading of their novel and what fraction of the novel separates them from the others?"
For the first part of question, where is asks who is farther through their book, calculate percentage, which is calculated from division:
250/375 = 0.66..., or 66.66%
243/405 = 0.6, or 60%
448/768 = 0.5833..., or 58.33%
We can already see that Jenny is furthest through her book, as she is around 6.66% farther than Gabriel and 8.33% farther than Jessica.
But, to answer the second part of the question, we must convert this information to fractions, which can be done by putting the values over 100:
66.66/100, 60/100, 58.33/100. Now, since they are already in the same denominators, we can easily tell how far they are from one another in fractions: Jenny is 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica.
If I helped, please make this answer brainliest! ;)
A.B., a 68-year-old man, is admitted to your medical floor with a diagnosis of pleural effusion. He relates having shortness of breath; pain in his chest; weakness; and a dry, irritating cough. His vital signs (VS) are 142 / 82,118, respirations 38 and labored and shallow, 102.1
∘
F(38.9∘C)∘ F(38.9 ∘ C), and Spo2
Spo 2 85% on room air. Chest �x-ray examination shows a large pleural effusion and pulmonary infiltrates in the right lower lobe consistent with pneumonia.
The provider performs a thoracentesis and drains 1500 mL of fluid. A specimen for culture and sensitivity (C&S) is sent to the lab, and A.B. is started on ceftriaxone 500 mg IV every 12 hours. The pleural C&S results show a large amount of Klebsiella organism growth that is not sensitive to ceftriaxone.
It is now the end of your shift and A.B.'s condition has stabilized. Using the SBAR framework, describe the bedside change-of-shift report you will give the oncoming nurse.
During the change-of-shift report, you would provide an SBAR (Situation, Background, Assessment, Recommendation) framework report to the oncoming nurse for A.B., a 68-year-old man admitted with pleural effusion and pneumonia.
In the Situation section, you would start by stating that A.B., a 68-year-old man, was admitted with pleural effusion and pneumonia. You would mention his presenting symptoms of shortness of breath, chest pain, weakness, and a dry, irritating cough. Provide the vital signs: blood pressure 142/82 mmHg, heart rate 118 beats per minute, respirations 38 breaths per minute (labored and shallow), temperature 102.1°F (38.9°C), and Spo2 of 85% on room air.
In the Background section, you would mention that a thoracentesis was performed, draining 1500 mL of fluid, and a specimen for culture and sensitivity (C&S) was sent to the lab. Explain that A.B. was started on ceftriaxone 500 mg IV every 12 hours, but the pleural C&S results showed a large amount of Klebsiella organism growth that is not sensitive to ceftriaxone.
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(1 point) let f(x)=3x 20x2. then the equation of the tangent line to the graph of f(x) at the point (2,11) is given by y=mx b for
the y-intercept is 165.
The equation of the tangent line to the graph of f(x) at the point (2, 11) is:
y = -77x + 165
To find the equation of the tangent line to the graph of f(x) at the point (2, 11), we need to determine the slope of the tangent line and the y-intercept.
Find the slope of the tangent line:
The slope of the tangent line to the graph of f(x) at any point can be found by taking the derivative of f(x) with respect to x and evaluating it at the given point.
f(x) = 3x - 20x^2
f'(x) = 3 - 40x
To find the slope at x = 2, we substitute x = 2 into the derivative:
f'(2) = 3 - 40(2) = 3 - 80 = -77
Therefore, the slope of the tangent line is -77.
Find the y-intercept:
To find the y-intercept, we substitute the coordinates of the given point (2, 11) and the slope into the equation y = mx + b, and solve for b.
11 = -77(2) + b
11 = -154 + b
b = 165
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how many samples of size n=2 can be drawn from this population
The samples of size n = 2 that can be drawn from this population is 28
How many samples of size n=2 can be drawn from this populationFrom the question, we have the following parameters that can be used in our computation:
Population, N = 8
Sample, n = 2
The samples of size n = 2 that can be drawn from this population is calculated as
Sample = N!/(n! * (N - n)!)
substitute the known values in the above equation, so, we have the following representation
Sample = 8!/(2! * 6!)
Evaluate
Sample = 28
Hence, the number of samples is 28
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Complete question
A finite population consists of 8 elements.
10,10,10,10,10,12,18,40
How many samples of size n = 2 can be drawn this population?
If the ratio between blue macaws and red macaws that live in Brazil is 272:208, how many blue macaws are there if 2,730 red macaws are living in Brazil?
2652 blue macaws are there if 2,730 red macaws are living in Brazil.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that the ratio between blue macaws and red macaws that live in Brazil is 272 : 208
We need to find the number of blue macaws are there if 2,730 red macaws are living in Brazil.
Let x be the number of blue macaws for 2,730 red macaws are living in Brazil.
Let us form a proportional equation
272/208=x/2730
Apply cross multiplication
272×2730=208x
742560=208x
Divide both sides by 208
2652=x
Hence, 2652 blue macaws are there if 2,730 red macaws are living in Brazil.
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4. What are the coordinates of point P that partitions the directed line segment AB
into a 2:3 ratio if A(-6,1) and B(4,-4)? [use of graph is optional
If you plot the points A, B, and P on a graph, you will see that P is located closer to point B than to point A, which makes sense since we are dividing the segment into a 2:3 ratio.
To find the coordinates of point P that partitions the directed line segment AB into a 2:3 ratio, we need to use the following formula:
P = (1/5) * (3B + 2A)
where A(-6,1) and B(4,-4).
First, we need to find the values of 3B and 2A:
3B = 3(4,-4) = (12,-12)
2A = 2(-6,1) = (-12,2)
Next, we add these values and multiply by 1/5:
P = (1/5) * (3B + 2A) = (1/5) * ((12,-12) + (-12,2)) = (1/5) * (0,-10) = (0,-2)
Therefore, the coordinates of point P that partitions the directed line segment AB into a 2:3 ratio are (0,-2).
If you plot the points A, B, and P on a graph, you will see that P is located closer to point B than to point A, which makes sense since we are dividing the segment into a 2:3 ratio.
Note: The use of a graph is optional, but it can be helpful to visualize the problem and check your answer.
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Find the circumference and area of the circle of radius 4.2 cm.
The circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².
The circumference and area of a circle of radius 4.2 cm can be calculated using the following formulas:
Circumference = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14.
Area = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14.
Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm
Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²
Given the radius of the circle as 4.2 cm, the circumference of the circle can be found by using the formula for the circumference of a circle. The circumference of a circle is the distance around the circle and is given by the formula C = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the circumference of the circle is calculated as follows:
Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm
Similarly, the area of the circle can be found by using the formula for the area of a circle. The area of a circle is given by the formula A = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the area of the circle is calculated as follows:
Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²
Therefore, the circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².
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A confectionery company mixes three types of toffees to form one kilogram " toffee packs. the pack is sold at rs. 17. the three types of toffees cost rs.20, rs. 10, rs. 5 per kg. resp. the mixture must contain atleast 300 gms of first type. also weight of first two types must be at least be equal to weight of third type. find the optimal mix for maximum profit.answer
The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.
The optimal mix for the maximum profit can be found as follows:
The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg
Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0
Let us now calculate the total cost of making 1kg of toffee pack.
Cost = 20a + 10b + 5c
If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by
Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)
Now we have the following linear programming problem:
Maximize P = 17 - (20a + 10b + 5c)
Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)
a >= 0.3a + b - c >= 0a, b, c >= 0
We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:
We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).
Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is
P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5
Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5
Corner point (0.6, 0, 0.4) result in a profit of 6
Corner point (0, 0.5, 0.5) results in a profit of 5
Corner point (0, 1, 0) gives a profit of 3
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The two photos are both for the same question please help I dont know how to solve the revered graph
Answer:
point b is plotted incorrectly
Step-by-step explanation:
if you have, 196 chairs and you need to arrange them in an equal amount of row and columns, how many
Answer:
14
Step-by-step explanation:
14^2 = 196
or you could do 4^49=196
Identify the quadratic function that contains the points (-1,1), (0,-2) and (2,4). F(x) = 2x2 - x - 1 f(x) = 2x2 + x + 1 f(x) = 2x2 - x - 2 f(x) = 2x2 - x + 2.
The quadratic function that contains the points (-1,1), (0,-2) and (2,4) is f(x) =
2x²-x-2.
To find the quadratic equation we need to put the points in the equation to satisfy it,
The only equation doing it is f(x) = 2x²-x-2 as,
f(x) = 2x²-x-2
For (-1, 1)
1 = 2×(-1)² + 1 -2
1 = 1
Hence (-1,1) satisfies f(x) = 2x²-x-2
For (0, -2)
-2 = 2×(0)² - 0 -2
-2 = -2
Hence (0, -2) satisfies f(x) = 2x²-x-2
For (2, 4)
4 = 2×(2)² -2 -2
4 = 4
Hence (2,4) satisfies f(x) = 2x²-x-2
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17) Marlo has $250 on her iTunes card. She pays $5
for every game that she downloads. Write an
inequality that you could use to determine how many
games she could download if she wants to have
more than $125 left on her iTunes card.
Inequality:
Solve your inequality from Part A. How many games
could she download?
Answer:
this is the way id do this.
Step-by-step explanation:
250-125=125
125/5=x (the number of games)
x=25
or
250-125/5x
Answer:
25 games
Step-by-step explanation:
250-125=125
125÷5=25
(-3)^2 without exponent?
Answer: 9
Step-by-step explanation:
Suppose you were sketching the graph of y X + 2, Why does it make sense to begin with the y-intercept instead of the slope?
(help me out please)
It makes sense to begin with the y-intercept when sketching the graph of y = mx + b because the y-intercept is the point at which the line intersects the y-axis, where x = 0. This point gives us a starting point for the graph and allows us to plot a single point before determining the slope of the line. Once we have the y-intercept, we can use the slope to find additional points on the line, and then connect the points to create the graph of the line.
Answer:
Step-by-step explanation:
When graphing a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept, it makes sense to begin with the y-intercept instead of the slope because the y-intercept gives us a point on the y-axis where the line crosses it.
In the case of the equation y = X + 2, the y-intercept is the point (0,2) on the y-axis, which is a point we can easily plot on the graph. Once we have plotted the y-intercept, we can then use the slope, which is 1 in this case, to find another point on the line by moving one unit to the right along the x-axis and one unit up along the y-axis. We can then draw a straight line through these two points to complete the graph of the line.
Starting with the y-intercept also makes sense because it gives us a sense of the vertical position of the line before we consider its slope. This can be helpful in cases where the y-intercept is a large or small number, as it can affect the scale of the graph and make it easier to read. Additionally, starting with the y-intercept can help us to quickly identify whether the line intersects the y-axis or not, and at what point.
im very confused on the question attached below....can someone pls explain it with an answer?
Answer:
There doesnt seem to be a mode
Step-by-step explanation:
The mode is the number that ocurs most in the sequence
EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST
The fundamental question addressed by the correlational method is
a. "Does variable A cause variable B?"
b. "How is a control group influenced by the absence of an independent variable?"
c. "What impact does random assignment have on psychological behavior?"
d. "Are two or more variables related in some systematic way?"
The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.
Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.
For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.
It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
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Dylan buys 2 sodas and 3 teas for £2.
Caroline buys 5 sodas and 3 teas for £2.75.
Work out the cost of one soda and one tea.
Answer:
.4
=soda,
0.5=tea
Step-by-step explanation:
Answer:
one soda costs 0.25 euros
One tea costs 0.5 euros
Step-by-step explanation:
we make a system of equations
S- soda
t- tea
2s+3t=2
5s+3t=2.75
we have to isolate a variable because I like to use substitution method best
2s+3t=2
-3t. -3t
2s=2-3t
/2. /2. /2
s=1-1.5t
5(1-1.5t)+3t=2.75
5-7.5t+3t=2.75
5-4.5t=2.75
-5. -5
-4.5t=-2.25
/-4.5. /-4.5
t=0.5
One tea is 0.5 euros
Now to find one soda we just fill it in
2s+3(0.5)=2
2s+1.5=2
-1.5. -1.5
2s=0.5
/2. /2
s=0.25
One side cost 0.25 euros
Hopes this helps please mark brainliest
47 multiply 24 multiply 89
M(8, 7) is the midpoint of RS. The coordinates of S are (9, 5). What are the coordinates of R? (16, 14) (10, 3) (8.5, 6) (7, 9)
Answer:
Last option \(R=(7,9)\) is the correct choice.
Step-by-step explanation:
The required co-ordinates are given as:
\(\frac{x+9}{2} = 8\quad \Rightarrow \quad x = 7\\\\\frac{y+5}{2}=7\quad \Rightarrow \quad y=9\)
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For ABC the measure in degrees of angles A,B and C are 60,55 and x + 20 respectively. What is the value of x
In triangle ABC, the measures in degrees of angles A, B, and C are given as 60, 55, and x + 20, respectively. The value of x is 45.
The sum of angles in a triangle is always 180 degrees. So, we can set up the equation:
Angle A + Angle B + Angle C = 180
Substituting the given values, we have:
60 + 55 + (x + 20) = 180
115 + x + 20 = 180
Combining like terms, we get:
x + 135 = 180
Subtracting 135 from both sides, we have:
x = 180 - 135
x = 45
Therefore, the value of x is 45.
To learn more about triangle click here: brainly.com/question/2773823
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