The graph for a linear regression crosses the y axis in negative values. Where would the y-intercept of the regression line be located on the y-axis?
a) Above 0
b) Below 0
c) To the right of 0
d) To the left of 0

Answers

Answer 1

Answer:

The correct answer is

b) Below 0

Answer 2

The correct option is (d) To the left of 0.

If the graph for a linear regression crosses the y-axis in negative values, the y-intercept of the regression line would be located to the left of 0 on the y-axis.

Therefore, the correct option is (d) To the left of 0. How to find the y-intercept of the regression line?

The y-intercept of a regression line is the value where the regression line intersects with the y-axis. It is the point where x = 0. In order to find the y-intercept of the regression line, we can use the equation of the regression line, which is y = mx + b. Here, m is the slope of the line and b is the y-intercept.

Therefore, if the regression line crosses the y-axis in negative values, it means that the y-intercept (b) is negative, and the line intersects the y-axis to the left of 0.

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Related Questions

Solve the proportion
17/4 = y/6

Answers

Answer:

This is your answer ☺️☺️

what is the quadratic equation for this graph? will make brainiest if also tell me how to put into vertex from

Answers

Answer:

Step-by-step explanation:   The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y -axis. The coefficients a,b, and c in the equation y=ax2+bx+c y = a x 2 + b x + c control various facets of what the parabola looks like when graphed.

Hope you like it.

HELP ASAP I WILL GIVE BRAINLIEST IF I CAN

Answers

Answer: add 3

Step-by-step explanation:

A 30-ft cable is stretched from the top of an antenna to an anchor point 12-ft from the base of the
antenna. How tall is the antenna? Round to the nearest tenth of a foot.

Answers

Hii this isn’t about answering your question, don’t press the links ppl give you in the comments they’re old men selling people into sex traffic by you pressing their link and them getting access to your IP address, anyways have a good day!!

Nash uses his credit card with a 17.8% APR, compounded monthly, to pay for a cruise totaling $1,789.17. He can pay $650 per month on the card. What will the total cost of this purchase be?

Answers

Answer: 17.8% + $1.789.17 + $650 = 2439.348 or 2439

Step-by-step explanation: if you read the word problem it has a key word the key word is total.

Nash uses his credit card with a 17.8% APR, compounded monthly, to pay for a cruise totaling $1,789.17. He can pay $650 per month on the card. What will the total cost of this purchase be?

determine the normal and shear stresses at point d that act perpendicular and parallel, respectively, to the grains. the grains at this point make an angle of 35 ∘ with the horizontal as shown.

Answers

To determine the normal and shear stresses at point D, which act perpendicular and parallel to the grains, respectively, we require additional information such as the applied forces or loadings at that point.

The given question mentions the need to determine the normal and shear stresses at point D, which act perpendicular and parallel to the grains, respectively. However, to accurately calculate these stresses, we need more information about the system under consideration. Key details include the applied forces or loadings on the system, the material properties, and the specific orientation and arrangement of the grains at point D.

Normal stress, also known as axial stress, refers to the force per unit area acting perpendicular to the surface. Shear stress, on the other hand, represents the force per unit area acting parallel to the surface. The magnitudes and directions of these stresses depend on the applied forces, the geometry of the system, and the material properties.

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The joint density of X and Y is given by

f (x,y) = c1/2x^2y^2, 1
Compute c.

Answers

Therefore, the value of c is 2/9.

The joint density of X and Y is given by f (x,y) = c(1/2) x² y², 1.

We are to calculate the value of c.

Step-by-step solution: It is given that joint density of X and Y is f (x,y) = c(1/2) x² y², 1.

The joint probability density function f(x, y) satisfies the following properties:f(x, y) ≥ 0 for all x and y.f(x, y) is continuous in x and y.∫∞−∞∫∞−∞f(x, y)dxdy = 1

From the given joint density function, we can compute marginal density of X and marginal density of Y by integrating over the other variable, as follows: P(X = x) = ∫ f(x, y) dy and P(Y = y) = ∫ f(x, y) dx

Let's calculate the marginal density of X.P(X = x) = ∫ f(x, y) dy∫ f(x, y) dy = c(1/2) x² ∫y² dy Limits of integration are from -1 to 1.P(X = x) = c(1/2) x² [(1/3) y³]1 and -1.∫ f(x, y) dy = c(1/2) x² [(1/3) (1³ - (-1)³)]P(X = x) = c(1/2) x² [(1/3) (1 - (-1))]P(X = x) = c(1/2) x² (2/3)P(X = x) = (1/3) c x²P(X = x) = 1,

integrating over all possible values of x, we obtain:1 = ∫ P(X = x) dx= ∫ (1/3) c x² dx Limits of integration are from -1 to 1.1 = (1/3) c [(1/3) x³]1 and -1.∫ P(X = x) dx = (1/3) c [(1/3) (1³ - (-1)³)]1 = (1/3) c [(1/3) (1 - (-1))]1 = (1/3) c (2)1/2 = (2/9) c2/9 = c

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Answer:

Step-by-step explanation:

The joint density of X and Y is given by the function f (x,y) = c1/2x²y², 1. The value of c is 18.

We are required to find the value of c.

First, we need to know the definition of joint density.

A joint probability density function (PDF) is a statistical measure that describes the probability of two or more random variables occurring simultaneously in terms of their PDFs.

It's a measure of the probability of an event happening as a function of two variables, usually expressed as f(x,y).

So, in this problem, we have given the joint density of x and y is f(x,y) = c/2x²y², 1.

We can solve it by integrating it over the entire range.

The probability density function of X and Y can be found by integrating over the whole sample space.

[tex]$$\begin{aligned}&\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}f_{X,Y}(x,y)dxdy=1\\&\implies\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}f_{X,Y}(x,y)dxdy\\&=\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}c\frac{1}{2}x^2y^2dxdy=1\\&=\frac{c}{2}\int_{-\infty}^{\infty}x^2dx\int_{-\infty}^{\infty}y^2dy\\&=\frac{c}{2}\cdot \frac{1}{3}\cdot \frac{1}{3}=1\end{aligned}$$[/tex]

Hence, [tex]$$\implies c=\boxed{18}$$[/tex].

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what is the slope and y intercept of -5x+3y=-9

Answers

Answer:

slope = 5/3

y-intercept = (0,-3)

Step-by-step explanation:

Make the equation in slope-intercept form:

-5x+3y=-9

add 5x on both sides

3y=5x-9

divide by 3 on both sides

y=5/3x-3

slope = 5/3

y-intercept = (0,-3)



Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.


Which simulation design has an appropriate device and a correct trial?

Answers

Complete question is;

Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.

Which simulation design has an appropriate device and a correct trial?

A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times.

B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

C) Roll a fair die with a single digit between 1 and 6 on each face. Let four represent rolling a four and 1-3 and 5 and 6 represent not rolling a four. Roll the die five times.

D) Using a table of random digits select a digit between 1 and 6, ignoring digits 0, 7, 8, and 9. Let 4 represent rolling a four and 1-3 and 5 and 6 represent not rolling a four Select five digits.

Answer:

B) Using a table of random digits, select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

Step-by-step explanation:

Since she knows that if she rolls a four on three of her next five rolls she will lose the game, then the best simulation that she will roll a four on three of the next five rolls will be option B because it uses a table of random digits and doesn't ignore any number but is well ordered with 0-6 representing a four and 7-9 not rolling a four.

3. if u get this right i’ll give u brainliest

Answers

Answer:

(-3,2)

Step-by-step explanation:

3/4 of eight is six so go to two and then find the x, as x wasn't on the numbers it is not a multiple of two, so three was the closest number

may be wrong

Use convolution notation with * and set up the integral to write the final answer of the following initial value ODE. There is no need to evaluate the integral. x" - 8x' + 12x = f(t)

Answers

The equation in integral form by taking the inverse Laplace transform: x(t) = L^-1((s^2 - 9s + 20)X(s)) + L^-1(F(s) + sx(0) + x'(0) - 8x(0)), where L^-1 represents the inverse Laplace transform.

To express the given initial value ordinary differential equation (ODE) using convolution notation with *, we can rewrite it as:

(x'' - 8x' + 12x) = f(t)

Taking the Laplace transform of both sides, we have:

s^2X(s) - sx(0) - x'(0) - 8(sX(s) - x(0)) + 12X(s) = F(s)

where X(s) is the Laplace transform of x(t), x'(0) is the initial condition of the derivative of x(t), x(0) is the initial condition of x(t), and F(s) is the Laplace transform of f(t).

Simplifying the equation, we get:

(s^2 - 8s + 12)X(s) - sx(0) - x'(0) + 8x(0) = F(s)

Now, let's express the left-hand side of the equation using convolution notation. Using the property that the Laplace transform of the derivative of a function f(t) is sF(s) - f(0), we can rewrite the equation as:

((s^2 - 8s + 12) - s + 8)X(s) = F(s) + sx(0) + x'(0) - 8x(0)

Simplifying further, we have:

(s^2 - 9s + 20)X(s) = F(s) + sx(0) + x'(0) - 8x(0)

Finally, we can express the equation in integral form by taking the inverse Laplace transform:

x(t) = L^-1((s^2 - 9s + 20)X(s)) + L^-1(F(s) + sx(0) + x'(0) - 8x(0))

where L^-1 represents the inverse Laplace transform.

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I need help please with this assignment

Answers

Answer:

a) 10 yards and 10[tex]\sqrt{3}[/tex] yards

Step-by-step explanation:

The intersection of the support beams in the middle form four right angles, since all four sides are equal.  Because you know two angles of the triangle on the right hand side (90° and 30°), you can calculate the third angle (given that a triangle has 180°):

180°-90°-30° = 60°

This is a 30-60-90 triangle (if you don't know what that is, you can look it up).  In a 30-60-90 triangle, the hypotenuse is 2x.  In this case, the hypotenuse is 10 yards, so you can set up an equation given that information:

2x = 10

x = 5

Now that you know x of the 30-60-90 triangle, you can solve for the other two sides of the triangle.

The side directly across from the 30° angle is just x, which is equal to 5.  The side directly across from the 60° angle is x[tex]\sqrt{3}[/tex], which in this case would be 5[tex]\sqrt{3}[/tex].

Because you want the full length of both beams, you'd multiple both sides by two to get the length of both entire beams:

5*2 = 10

(5[tex]\sqrt{3}[/tex])*2 = 10[tex]\sqrt{3}[/tex]

*I hope this makes sense!*

Tea costs £1.40 and coffee
costs 65p how much will 5
coffees and 2 teas cost?​

Answers

Answer:

£6.05

Step-by-step explanation:

Multiply the number of coffees by the cost of coffee:

5 × 65p

325p

Multiply the number of teas by the cost of tea:

2 × £1.40

£2.80

Add the two answers together:

325p + £2.80

Convert p to £

£3.25 + £2.80

£6.05

hi please help i’ll give brainliest

Answers

Answer:

Choice D

Step-by-step explanation:

I believe that it is Choice D. Due to the fact that the moons orbit around Earth is inclined around 5 degrees, not allowing an eclipse to happen every New or Full Moon. Most of the time, the Sun, Earth, and Moon don't line up precisely enough to cause an eclipse.


Find the sample standard deviation. 12​, 12​, 12​, 15​, 18​,
18​, 18
show work pls

Answers

Answer:

Sample standard deviation = 3

Step-by-step explanation:

We can use the following steps to calculate the sample standard deviation for the given data set:

Step 1: First, calculate the mean of the data set by adding all the values and dividing by the total number of values:

(12 + 12 + 12 + 15 + 18 + 18 + 18) / 7 = 15.

Thus, the mean is 15.

Step 2: Next, subtract the mean from each value in the data set to get the deviation of each value from the mean.

(12 - 15) = -3

We can simply write -3 thrice since 12 appears thrice in the data set.

(15 - 15) = 0

(18 - 15) = 3

Similarly, we can write 3 thrice since 18 appears thrice in the data set.

Thus, the deviations are -3, -3, -3 0, 3, 3, and 3.

Step 3:   Square each deviation:

(-3)^2 = 9

We can write 9 thrice since -3 appears as a deviation thrice.

0^2 = 0

(3)^2 = 9

We can again write 9 thrice since 3 appears as a deviation thrice.

Thus, the squares of all our deviations are 9, 9, 9, 0, 9, 9, and 9.

Step 4:  Add up all the squared deviations:

9 + 9 + 9 + 0 + 9 + 9 + 9 = 54.

Thus, the sum of the squared deviations is 54.

Step 5:  Find the variance by dividing the sum of squared deviations by one less than the number of values in the data set:

54 / (7 - 1) = 9

54 / 6 = 9

Thus, the variance is 9

Step 6:   Finally, find the sample standard deviation by taking the square root of the variance:

√9 = 3

So, the sample standard deviation for this data set is 3.

Solve the following differential equation:

dV/dθ= V cotθ + V^3cosecθ

Answers

Comparing this with the left-hand side expression -V cosec^2θ - 3V^2cosec^2θcotθ, we can see that both sides are equal.

To prove the given equation, we will differentiate both sides with respect to θ and simplify the expression.

Differentiating V cotθ + V^3cosecθ with respect to θ:

d/dθ(V cotθ + V^3cosecθ) = d/dθ(V cotθ) + d/dθ(V^3cosecθ)

Applying the differentiation rules:

= V (-cosec^2θ) + 3V^2cosecθ(-cosecθcotθ)

= -V cosec^2θ - 3V^2cosec^2θcotθ

Now, we need to express the right-hand side of the original equation in terms of dV/dθ:

V cotθ + V^3cosecθ = V(cotθ + V^2cosecθ)

                      = V(cotθ + cotθV^2)

                      = Vcotθ(1 + V^2)

Taking the derivative of the right-hand side with respect to θ:

d/dθ(Vcotθ(1 + V^2)) = V(−cosec^2θ)(1 + V^2) + Vcotθ(0)

                           = -Vcosec^2θ(1 + V^2)

Comparing this with the left-hand side expression -V cosec^2θ - 3V^2cosec^2θcotθ, we can see that both sides are equal. Therefore, we have proved that dV/dθ = V cotθ + V^3cosecθ.

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if there's a how and a guy picks her up who's getting abused​

Answers

what does this even mean

find the slope of the passing line through the points -3/8 and 4/8 ​

Answers

Answer:

Subtract the y's: 7 - 2 = 5

Subtract the x's in the same order: 6 - 4 = 2

slope = (difference in y)/(difference in x) = 5/2

Answer: 5/2

Which of the following equations could be the line of best fit?
A. x = 100
B. y = 100
C. y = x + 100
D. y = x - 100

Answers

The real answer is B

Does the following argument illustrate the Law of Detachment?

Given: If the fuse has blown, then the light will not go on.
The fuse has blown.

Conclude: The light will not go on.

A. Yes
B. No

Answers

The correct answer is A. Yes. the argument conforms to the Law of Detachment.

Yes, the argument does illustrate the Law of Detachment. The Law of Detachment is a valid form of reasoning in propositional logic that states that if a conditional statement (p → q) is true and the antecedent (p) is true, then the consequent (q) can be inferred as true.

In the given argument:

The conditional statement "If the fuse has blown, then the light will not go on" can be represented as p → q, where p represents "the fuse has blown" and q represents "the light will not go on."

The given information states that the fuse has blown, which means that p is true.

According to the Law of Detachment, if p → q is true and p is true, we can conclude that q is also true. Therefore, we can infer that "the light will not go on" (q) is true.

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The scatter plot shows the amount of time Adam spent studying and his test scores, Predict Adam's test score when he studies for 6 hours
100
90
80
Test Score
70
O.
60
0
0 1 2 3 4 5
Time Studying (hours)
When he studies for 6 hours, Adam should score about

Answers

Answer:

I think 100

Step-by-step explanation:

During basketball practice, you make 8 free throws out of 20 shots taken. Using
experimental probability, how many free throws would you score out of 50
shots taken?

Answers

Answer:

if you make 4 free throws for every 10 shots taken you would make 20 out of 50 free throws

Step-by-step explanation:

Can someone help me find this please and thank you:)

Answers

Answer:

The perimeter to the question is 30.

Step-by-step explanation:

.

[tex]3 + 3 + 3 + 3 + 9 + 9 \\ 6 + 6 + 18 \\ 12 + 18 \\ 30[/tex]

Given that a is in Quadrant 2 and cos(a) = give an exact answer for the following: a sin(20) b. cos(2a) c. tan(20) = 2. Given that B is in Quadrant 4 and sin(B) = give an exact answer for the following: a sin(25) = b.cos(2B) c. tan(28) . Decimal approximations are not allowed for this problem, • Enter your answer in exact form. • Use "sqrt()" to represent.

Answers

a) In Quadrant 2, a sin(20) is equal to -sin(20).

b) In Quadrant 2, cos(2a) is equal to -cos(2a).

c) In Quadrant 2, tan(20) is equal to -tan(20).

In Quadrant 2, the angle 'a' is between 90 degrees and 180 degrees, or π/2 and π radians. Knowing that cos(a) is a negative value, we can determine the exact values for the given trigonometric expressions.

a) a sin(20) = -sin(20):

The sine function (sin) is positive in Quadrant 1 and negative in Quadrant 2. Therefore, the value of a sin(20) in Quadrant 2 is equal to the negative of sin(20). This means that the answer for a sin(20) is -sin(20).

b) cos(2a) = -cos(2a):

The cosine function (cos) is negative in Quadrant 2. Since we are given that a is in Quadrant 2, the angle 2a will also be in Quadrant 2. Therefore, cos(2a) in Quadrant 2 is equal to the negative of cos(2a). Thus, the answer for cos(2a) is -cos(2a).

c) tan(20) = -tan(20):

The tangent function (tan) is negative in Quadrant 2. Hence, the tangent of any angle in Quadrant 2 will be equal to the negative of its positive counterpart. Consequently, the answer for tan(20) in Quadrant 2 is -tan(20).

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benjamin is making bow ties how many half yard long bow ties can he make if he has 18 feet of fabrics

Answers

To determine how many bow ties he can make, we need to convert the units of measurement and calculate the number of half-yard lengths in 18 feet.

To convert feet to yards, we need to divide the number of feet by 3, as there are 3 feet in a yard.

In this case, 18 feet is equal to 6 yards (18 feet ÷ 3).

Since Benjamin wants to make bow ties that are each half a yard long, we can calculate the number of bow ties he can make by dividing the total length of fabric (6 yards) by the length of each bow tie (0.5 yards).

Dividing 6 yards by 0.5 yards gives us a total of 12. Benjamin can make 12 half-yard long bow ties using the 18 feet of fabric he has.

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Solve for x
5=2x-3
Enter your answer in the box
x = __

Answers

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N \: \:E \: Q \: U \: A \: T \: I \: O \: N}}}} : [/tex]

5 = 2x - 3

❀ [tex] \underline{ \underline{ \large{ \tt{ \: T \: O \: \: F\: I\: N \: D}}} }: [/tex]

Value of x

☄ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I\: O \: N}}}} : [/tex]

♨ [tex] \large{ \sf{5 = 2x - 3}}[/tex]

~Swap the sides of the equation :

⇾ [tex] \large{ \sf{2x - 3 = 5}}[/tex]

~We want to remove the 3 first. Since the original equation is -3 , we are going to use the opposite operation and add 3 to the both sides :

⇾ [tex] \large{ \sf{2x - 3 + 3 = 5 + 3}}[/tex]

⇾ [tex] \large{ \sf{2x \: \cancel{ - 3} \: \cancel{ + 3}}} = 8[/tex]

⇾ [tex] \large{ \sf{2x = 8}}[/tex]

~Now , We need to think about how to remove the coefficient 2. Since the opposite of multiplication is division , we are going to divide both sides of the equation by 2 :

⇾ [tex] \large{ \sf{ \frac{2x}{2} = \frac{8}{2}}} [/tex]

⇾ [tex] \boxed{ \large{ \sf{x = 4}}}[/tex]

☯ [tex] \underline{ \underline{ \large{ \tt{C \: H \:E \: C \: K}}}}: [/tex]

☪ [tex] \large{ \tt{L \: H \: S : \: 5 }}[/tex]

[tex] \large{ \tt{R \: H \: S \ \: : \: 2x - 3 = 2 \times 4 - 3 = 8 - 3 = \underline{ \tt{5}}}}[/tex] [ Plug the value of x ]

☥ Since this is a true statement , our answer ( x = 4 ) is correct. Yay! We got our answer :)

♕ [tex] \large{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \text{x = 5}}}}}}}}}[/tex]

[tex] \underline{ \underline{ \text{H \: O\: P \: E \: \: I \: \: H \: E \: L \: P \: E \: D}}}[/tex] !! ♡

[tex] \underline{ \underline{ \text{H \: A \: V \: E \: A \: W \: O \: N \: D \: E \: R \: F \: U \: L \: D \: A\: Y \: / \: N\: I \: G\: H \: T}}}[/tex] !! ツ

☃ [tex] \underline{ \underline{ \tt{C \:A \: R \: R \: Y \: \: O \:N \: \: L \: E \: A \: R\: N \: I \: N \: G}}} [/tex] !!✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁


compute the accumulated value of $8600at 6.45% after 8
months (simple interest)

Answers

The accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8971.90.

To compute the accumulated value of $8600at 6.45% after 8 months (simple interest), we need to use the formula for simple interest, which is given by:

I = P × r × t

Where, I is the interest earned, P is the principal amount, r is the interest rate, and t is the time in years.

Here, we have t in months, so we need to convert it into years by dividing by 12.

So, t = 8/12 = 2/3 years.

Now, substituting the given values, we get:

I = 8600 × 6.45/100 × 2/3 = $371.90

Therefore, the accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8600 + $371.90 = $8971.90.

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find the value of the variable for each polygon​

Answers

The value of variable h is,

⇒ h = 18

We have to given that,

A heptagon with angles are shown in figure.

Here, All the angles are,

⇒ 6h°, 132°, 146°, 146° , (6h + 10)° , (6h + 10)° , 146°, and 132°

We know that,

Sum of all the angles in a heptagon is, 900°

Hence, We get;

⇒ 6h° + 132° + 146° + 146° + (6h + 10)° + (6h + 10)° + 146° + 132° = 900°

Combine like terms,

⇒ 18h + 576 = 900

⇒ 18h = 900 - 576

⇒ 18h = 324

⇒ h = 18

Thus, The value of variable h is,

⇒ h = 18

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Alice is using a rope to pull a wagon. He exerts a force of 2 newtons at an angle of 48° from the floor.


Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.


Part B: What implications does this have for pulling the wagon? Explain.

Answers

Answer:

Part A - i. 0.68 N ii. 1.88 N

Part B - The wagon will move slowly while being raised up off the ground.

Step-by-step explanation:

Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.

Since the force of 2 N is exerted at this new angle of 70°,

i. the horizontal component u = 2cos70° = 0.684 N ≅ 0.68 N and its

ii. vertical component, v = 2sin70° = 1.879 N ≅ 1.88 N

Part B: What implications does this have for pulling the wagon? Explain.

Since we have a horizontal component of 0.68 N and a vertical component of 1.88 N, most of the force is used in raising the wagon off of the ground with less of it moving it forward. So, the wagon will move slowly while being raised up off the ground.

Use the formula to find the standard error of the distribution of differences in sample means, ¯x1−¯x2. Samples of size 120 from Population 1 with mean 81 and standard deviation 11 and samples of size 70 from Population 2 with mean 73 and standard deviation 17.

Answers

The standard error of the distribution of differences in sample means is approximately 2.8.

The standard error of the distribution of differences in sample means, ¯x1−¯x2, can be calculated using the formula:

SE(¯x1 - ¯x2) = sqrt[s1²/n1 + s2²/n2]

where, s1 and s2 are the standard deviations of the two populations, ¯x1 and ¯x2 are the sample means of the two populations, and n1 and n2 are the sample sizes of the two populations.

In this case,

Population 1 has a sample size of n1 = 120, a mean of ¯x1 = 81, and a standard deviation of s1 = 11.

Population 2 has a sample size of n2 = 70, a mean of ¯x2 = 73, and a standard deviation of s2 = 17.

Substituting these values into the formula,

SE(¯x1 - ¯x2) = sqrt[11²/120 + 17²/70]≈ 2.8

Therefore, the standard error of the distribution of differences in sample means is approximately 2.8.

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