Answer:
7200g, because if you multiply the mass value by 1000
Answer:
7200 g
Step-by-step explanation:
1 kg = 1000 g
7 kg = 1000 × 7 = 7000 g
0.2 kg = 1000 × 0.2 = 200 g
→ 7.2 kg = 7200 g
what geometric shape forms the hole that fits an allen wrench
Answer:
A hexagon
Step-by-step explanation:
A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.
The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.
The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.
The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.
The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.
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What is the value of the t score for a 99% confidence interval if we take a sample of size 20?
A. 2.845
B. 2.861
C. 3.552
D. 3.579
Answer:
2.861
Step-by-step explanation:
What is the value of the t score for a 99% confidence interval if we take a sample of size20? Thus, the t-score for a 99% confidence interval for sample size 20 is 2.861.
25. The manager of a coffee shop has Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10
per pound. The manager wishes to mix 80 pounds of the Kenyan coffee with the Costa Rican coffee to get a mixture that
will sell for SS per pound. How many pounds of the Costa Rican coffee should be used?
The Costa Rican coffee should be used is 160 pound.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given that the cost of Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10.
The cost of the mixture is $8.5 per pound.
Assume that the manager mixed 80 pounds of the Kenyan coffee with the x pound of the Costa Rican coffee to get a mixture.
The cost of 80 pound Kenyan coffee is $(80×10) = $800.
The cost of x pound Costa Rican coffee is 7x.
The cost of mixture coffee is (80 + x)8.5
According to the question:
800 + 7x = (80 + x)8
800 + 7x = 640 + 8.x
640 + 8x = 800 + 7x
x = 800 - 640
x = 160
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Can you please help me
Answer:
Supplementary angle = 98°
Complementary angle = 8°
Step-by-step explanation:
By definition, sum of complementary angles is equal to 90°.
Therefore, complementary angle of 82° = 90° - 82°
= 8°
Similarly, sum of supplementary angles is equal to 180°.
Therefore, supplementary angle of 82° = 180° - 82°
= 98°
The supplementary angle 98°
The complementary angle 8°.
This worksheet is a review of circles and lines, and will give you some practice with algebra and with graphing. Also, this worksheet introduces the idea of "tangent lines" to circles. Later on in Math 124, you'll learn how to find tangent lines to many other types of curves. Two circles, called C1 and C2, are graphed below. The center of C_1 is at the origin, and the center of C_2 is the point in the first quadrant where the line y = x intersects C1. Suppose C1 has radius 2. C2 touches the x and y axes each in one point. What are the equations of the two circles?
The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
The equation of a circle with centre (a,b) and radius r is given by (x-a)^2 + (y-b)^2 = r^2.
C1 has centre (0,0) and radius 2, so its equation is (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4.
C2 touches the x and y axes each in one point, so it must have a centre on the line y=x and a radius equal to the distance from the centre to either of those points of tangency. Since the centre of C2 is on the line y=x and it is in the first quadrant, the coordinates of the centre are (1,1). The distance from the centre to the point of tangency on the x-axis is 1, so the radius is 1. The equation of C2 is (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
Therefore, The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.
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At a conference, there are 90 math teachers and 75 science teachers. write the ratio of math teachers to science teachers in simplest form.
Answer:
6:5 or \(\frac{6}{5}\)
Step-by-step explanation:
\(\frac{90}{75}\) Divide by \(\frac{15}{15}\)
\(\frac{6}{5}\) or 6:5
The standard deviation of a numerical data set measures the __________ of the data. Select the most appropriate term that makes the statement true.
A 50th percentile
B average
C most frequent value
D variability
E size
The standard deviation of a numerical data set measures the variability of the data. It is a widely used measure in statistics that helps to determine how spread out the values are within a given data set.
By calculating the standard deviation, we can better understand the range and distribution of values in the data set, as well as identify potential outliers. This measure is particularly important in fields such as finance, science, and engineering, where understanding the variability in data can be crucial for making informed decisions and predictions. So, the most appropriate term that makes the statement true is D: variability.
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FILL THE BLANK. the virtual condition for a .376² mmc pin with a perpendicularity tolerance of .008² diameter at mmc is ____.
The virtual condition for the .376² MMC pin with a perpendicularity tolerance of .008² diameter at MMC is approximately .001131.
To determine the virtual condition for a .376² MMC (Maximum Material Condition) pin with a perpendicularity tolerance of .008² diameter at MMC, we need to calculate the tolerance zone.
The perpendicularity tolerance specifies the allowable deviation of the pin from a perfect perpendicular orientation. The tolerance zone is defined as a cylindrical volume around the pin, with a diameter equal to the perpendicularity tolerance.
In this case, the perpendicularity tolerance is given as .008² diameter at MMC. Since the diameter at MMC is .376², we can calculate the tolerance zone as follows:
Tolerance zone = .008² * .376²
Simplifying the calculation:
Tolerance zone = .008 * (.376 * .376)
Tolerance zone = .008 * .141376
Tolerance zone = .001131
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2 of 7 A shop has a sale of 5% off all items in stock. If the original price of a dress is £80 what would be its sale price?
Answer:
the sale price is £76
Step-by-step explanation:
The computation of the sale price is shown below:
= Original price - original price × off percentage
= £80 - £80 × 5%
= £80 - £4
= £76
Hence, the sale price is £76
Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
Answer:
0.45
Step-by-step explanation:
You divided 2.25 by 5
1. Using the right triangle above, fill in the correct ratios for each trigonometric function. (do not simplify) numbers on the triangle: 77, 85, 36 (there is a right angle)
Answer:
Below in bold.
Step-by-step explanation:
sin S = opposite side / hypotenuse = 77/85
cos S = adjacent side / hypotenuse = 36/85
tan S = opposite side / adjacent side = 77/36.
Answer:
see explanation
Step-by-step explanation:
sin S = \(\frac{opposite}{hypotenuse}\) = \(\frac{TU}{TS}\) = \(\frac{77}{85}\)
cos S = \(\frac{adjacent}{hypotenuse}\) = \(\frac{SU}{TS}\) = \(\frac{36}{85}\)
tan S = \(\frac{opposite}{adjacent}\) = \(\frac{TU}{SU}\) = \(\frac{77}{36}\)
find x and y
2x+4y=8
x=3y-
Answer:
If the "-" after "3y" is a typo, then y = 8/7, x = 24/7
Step-by-step explanation:
At the park, Trevor plays basketball with friends for 2/3 hour. Then he and his friends climb trees for 1/2 hour. What expression can be used to find the total amount of time Trevor spends playing basketball and climbing trees?
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Trevor plays basketball with friends for 2/3 hour and that he and his friends climb trees for 1/2 hour.
The expression cmthat can be used to find the total amount of time Trevor spends playing basketball and climbing trees will be:
= 2/3 + 1/2
= 4/6 + 3/6
= 7/6
= 1 1/6 hours or 1 hour 10 minutes
When x is -1.5, what value of y makes the equation true?
The value of the equation at x = 1, x = -1.5, and x = 8.5 will be 0.5, 7, and -20, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
y = - 3x + 2.5
The value of the equation at x = 1 will be given as,
y = - 3 × (1) + 2.5
y = - 3 + 2.5
y = - 0.5
The value of the equation at x = - 1.5 will be given as,
y = - 3 × (-1.5) + 2.5
y = 4.5 + 2.5
y = 7
The value of the equation at x = 8.5 will be given as,
y = - 3 × (8.5) + 2.5
y = - 22.5+ 2.5
y = - 20
The value of the equation at x = 1, x = -1.5, and x = 8.5 will be 0.5, 7, and -20, respectively.
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Complete question:
A 6-sided die is rolled twice. What is the probability that the result of both rolls is 5? Express your answer as a fraction "A/B" in simplest form.
The probability that the result of both rolls of the die is 1/9
what is Probability?Probability is a numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. For example if a coin is thrown, the possibilities are to get a head or a tail. This means the total possible outcome is 2.
For the die rolled twice. A die has six faces, rolling twice will give 6x6=36 possible outcome
The probability for an event to occur = sample space/ total possible outcome
To get 5 as result for the two rolls is either 2,3or 3,2or 1,4or 4,1. Which means the sample space is 4
P(5)= 4/36
= 1/9
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Carla paid for an Introduction to Painting course at Color Castle Art Studio. The cost of the course covers 12 painting classes. She also bought a beginner's painting kit for $28. Carla paid $220 in all. How much does each painting class cost?
Answer:
$16
Steps:
12C + 28 = 220
12C = 220 - 28
12C = 192
C = 192÷12
C = 16
Each painting class costs $16
The cost of each painting class is $16.
Here,
The cost of the course covers 12 painting classes and she also bought a beginner's painting kit for $28.
Carla total paid = $220
We have to find the cost of each painting class.
What is Mathematical system?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
Let the cost of each painting class = $x
And, The cost of the course covers 12 painting classes.
She also bought a beginner's painting kit for $28 and paid $220 in all.
Hence, The equation is;
12x + 28 = 220
12x = 220 - 28
12x = 192
x = 192 ÷ 12
x = 16
Therefore, The cost of each painting class is $16.
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The equation P = 2m + 15 represents the price P (in dollars) of a bracelet, where m is the cost of the materials (in dollars). The price of a bracelet is $115. What is the cost of the materials? Explain your reasoning.
Answer:
50
Step-by-step explanation:
115 = p
115 = 2m + 15
-15 -15
100 = 2m
/2 /2
50 = m
If you take away like I did in this method it will get you answer (backwards PEMDAS)
The base of a solid S is the region enclosed by the graph of y=√ln(x), x=e, y=0. If the cross section of S perpendicular to the x-axis are squares, determine the volume V, of S.1) 1 cu. units.2) 13(e3−1) cu. units.3) 12 cu.units.4) 23 cu.units.5) 2(e3−1) cu.units.
The volume V of solid S is e - 1 cubic unit.
What is Volume?
Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.
To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)
The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)
Therefore, the volume V of solid S can be calculated as:
\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)
To evaluate this integral, we can simplify the expression:
\(V = \int_{e}^{\infty} \ln(x) dx\)
Using integration by parts, we let \(u = \ln(x)\)and dv = dx:
\(du = \frac{1}{x} dx\\v = x\)
Applying the integration by parts formula:
\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)
Evaluating the definite integral:
\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)
Therefore, the volume V of solid S is e - 1 cubic unit.
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How do you find the projection of u onto v given u=<3,15> and ?
Vector u = <3, 15> is projected onto vector v = <6, 2> at a distance of about <7.2, 2.4>.
To find the projection of vector u onto vector v, we can use the formula:
proj_v(u) = (u · v / |v|²) * v
Where u · v represents the dot product of u and v, |v| represents the magnitude of vector v, and v represents the unit vector in the direction of v.
Given u = <3, 15> and v = <6, 2>, we can calculate the projection of u onto v as follows:
Step 1: Calculate the dot product of u and v:
u · v = (3 * 6) + (15 * 2) = 18 + 30 = 48
Step 2: Calculate the magnitude of vector v:
\(\[|v| = \sqrt{6^2 + 2^2} = \sqrt{36 + 4} = \sqrt{40} = 2 \sqrt{10}\]\)
Step 3: Calculate the projection of u onto v:
\(\text{proj}_v(u) = \left(\frac{{u \cdot v}}{{|v|^2}}\right) \cdot v = \left(\frac{{48}}{{(2 \sqrt{10})^2}}\right) \cdot \langle 6, 2 \rangle\)
Simplifying further:
\(\text{proj}_v(u) = \left(\frac{{48}}{{4 \cdot 10}}\right) \cdot \langle 6, 2 \rangle = \left(\frac{{12}}{{10}}\right) \cdot \langle 6, 2 \rangle = \left(\frac{{6}}{{5}}\right) \cdot \langle 6, 2 \rangle\)
Finally:
\(proj_v(u) = (6/5) * < 6, 2 > = < 36/5, 12/5 >\)
Therefore, the projection of u = <3, 15> onto v = <6, 2> is approximately <7.2, 2.4>.
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Solve the simultaneous equations
5
x
+
2
y
=
11
−
5
x
+
4
y
=
13
Answer:
its 13
Step-by-step explanation:
are u try to find out what x and y equal
Starting at the point (0,0) how many ways are there to get to the point (7,4) if you have to pass through the point (1,1) and each step can only be in a positive direction. (i.e. to the right or up)?
The total number of ways to get from (0,0) to (7,4) while passing through (1,1) using only right and up movements is the product of the number of ways for each sub problem: \(1 \times 60 \times 24 = 1,440\).
To get from (0,0) to (7,4) while passing through (1,1) using only right and up movements, we can break down the problem into three smaller sub problems:
Get from (0,0) to (1,1)
Get from (1,1) to (7,1)
Get from (7,1) to (7,4)
To solve the first sub problem, we need to take one step to the right and one step up. There is only one way to do this.
To solve the second sub problem, we need to take six steps to the right and zero to three steps up. We can represent this as a sequence of R's (right) and U's (up), with exactly six R's and between zero and three U's. There are four ways to choose the positions of the U's in the sequence (no U's, one U, two U's, or three U's). For each choice of U positions, the sequence can be arranged in (6 choose 2) = 15 ways (because we need to choose two positions out of the eight total positions for the R's and U's). So there are \(4 \times 15 = 60\) ways to get from (1,1) to (7,1).
To solve the third sub problem, we need to take three steps up and zero to seven steps to the right. We can represent this as a sequence of R's and U's, with exactly three U's and between zero and seven R's. There are eight ways to choose the positions of the R's in the sequence (no R's, one R, two R's, ..., seven R's). For each choice of R positions, the sequence can be arranged in (3 choose 1) = 3 ways. So there are \(8 \times 3 = 24\) ways to get from (7,1) to (7,4).
Therefore, the total number of ways to get from (0,0) to (7,4) while passing through (1,1) using only right and up movements is the product of the number of ways for each sub problem: \(1 \times 60 \times 24 = 1,440.\)
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A single card is drawn at random from a standard 52 card deck.
Work out the following probabilities in their simplest form:
P(9)=
Answer:
1/13
Step-by-step explanation:
There are four 9s in a standard deck of 52. So the probability is 4/52 = 1/13.
Can you conclude that A = B if A, B, and C are sets such that
A ∪ C = B ∪ C, A ∩ C = B ∩ C, A ∪ C = B ∪ C , A ∩ C = B ∩ C
Yes, we can conclude that A = B. This is because the given conditions state that the union and intersection of A and C are equal to the union and intersection of B and C, respectively.
This implies that the elements in A and B are the same, as they share the same elements with C. Therefore, A and B are equivalent, and we can conclude that A = B. The given conditions also ensure that all the elements in A and B are contained within C, so they do not affect the equality of A and B. Overall, the given conditions provide enough information to conclude that A = B. Based on the given information, we cannot definitively conclude that A = B. Although the union and intersection of A and B with C are equal, this does not guarantee that A and B are identical sets. To prove A = B, we need to show that every element in A is also in B, and vice versa. Without additional information about the specific elements in sets A, B, and C, we cannot reach a conclusion about the equality of A and B. It's possible that they are equal, but the provided conditions are not sufficient to prove it.
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please, please help me with this!! it’s very important.
The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.
Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,
y = a(x - h)² + k
The parabola's equation is stated as,
y = -(x + 2)² + 8
The downward-pointing parabola is represented by the negative sign.
The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.
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you randomly draw a marble from a bag of marbles that contains 7 blue marbles, 2 green marbles, and 1 red marble.
what is P (not draw a blue marble)? write your answer as a fraction in simplest form.
Answer:


2105182
21.03.2020
Math
Secondary School
answered
You randomly draw a marble from a bag of marbles that contains 7 blue marbles, 2 green marbles, and 1 red marble.What is P (not drawing a blue marble)
2
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Answer
4.2/5
8

vineetgolde14
Ambitious
9 answers
156 people helped
Answer:
total=10
so P(not drawing to blue)= 3/10



soobee72pl and 13 more users found this answer helpful
THANKS 8
4.2
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Answer
4.8/5
4

amitnrw
Genius
31.7K answers
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3/10 is the Probability of not Drawing Blue Marbles
Step-by-step explanation:
Blue Marbles = 7
Green Marbles = 2
Red Marbles = 1
Total Marbles = 7 + 2 + 1 = 10
Probaility of Drawing Blue Marbles = 7 /10
Probability of not Drawing Blue Marbles = 1 - Probaility of Drawing Blue Marbles
= 1 - 7/10
= 3/10
or
Probability of not Drawing Blue Marbles = Probability of drawing Green or Red Marbles
= 2/10 + 1/10
= 3/10
3/10 is the Probability of not Drawing Blue Marbles
Answer:
3/10
Step-by-step explanation:
trust me big dawg i wouldn't lie to you
Watch help video Find the length of the third side. If necessary, write in simplest radical form. 7 4√2
In simplest radicle form, the length of the third side = 9 units.
Given,
Side A = 7 units.
Side B = 4√2 units.
To find Side C, we use the Pythagorean formula,
a² = b² + c²
7² = \(4\sqrt{2}^{2}\) + c²
c² = 49 + 32
c² = 81
√c² = √81
c = -9,9.
c ≠ -9 as negative values are not considered for dimensions.
Hence, the length of the third side is 9 units.
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Your question is incomplete. The complete question is:
With reference to the figure below, find the length of the third side. If necessary, write in the simplest radical form.
The graph of y=15(x-92)^2+3 has the axis of symmetry at x=___
Write a in the form a=a+T+aNN at the given value of t without finding T and N. r(t) = (-t+2)i + (-2t)j + (t²)k, t=1 *** a = OT+N (Type exact answers, using radicals as needed.)
Here's the solution to the given problem: \(r(t) = (-t+2)i + (-2t)j + (t²)k, t=1\)To write r(t) in the form \(a =a+T+a\) NN at the given value of t without finding T and N, we first need to find out the unit tangent vector T and the unit normal vector N at t = 1.Step 1: To find the unit tangent vector T, we differentiate r(t) with respect to t and divide it by its magnitude.
\(|r'(t)| = √(1² + (-2)² + (2t)²)\) \(= √(1 + 4 + 4) = √9 = 3r'(t) = (-1)i + (-2)j + (2t)k,\)
\(T = r'(t)/|r'(t)| = (-1/3)i + (-2/3)j + (2/3)t kT(1) = (-1/3)i + (-2/3)j + (2/3)k.\)
Step 2: To find the unit normal vector N, we differentiate T with respect to t and divide it by its magnitude.|T'
\((t)| = √((2/3)²) = 2/3T'(t) = (0)i + (0)j + (2/3)k, N = T'(t)/|\)
\(T'(t)| = (0)i + (0)j + (1) kN (1) = k\) Now, we have T(1) and N (1) at t = 1, we can easily write the equation of the tangent plane to the surface r(t) at the point (1, -2, 1).
k = k Thus, the equation of the tangent plane is given bya = r(1) + T(1) + NN(1)a = (-1)i + (-2)j + (1)k + (-1/3)i + (-2/3)j + (2/3)k + k= (-1 - 1/3)i + (-2 - 2/3)j + (1 + 2/3 + 1)k= (-4/3)i + (-8/3)j + (5/3)k Hence, a = (-4/3)i + (-8/3)j + (5/3)k.
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Determine the type of correlation represented in the scatter plot below.
A. a perfect positive correlation
B. a strong positive correlation
C. a weak positive correlation
D.no correlation
E. a weak negative correlation
F. a strong negative correlation
G. a perfect negative correlation
Answer:
f is correct
Step-by-step explanation:
A weak negative correlation. Correct option is E.
What is a correlation?A correlation between two variables tells the how the first variable will change, with change in second variable.
Given,
Value of y decreases as the value of x increases and vice versa.
Also, x and y are nearly linearly related.
But, there is still some deviation in the values and are not perfectly linear.
Hence, there is a weak negative correlation between x and y.
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what year was someone born in if they turned 17 on February 12th of this year?
2003?? or 2004
bit confused tho cz my friend is 17 n her birthday is on feb 10th