1. Consider the following pairs of observations: X Y 2 1 0 3 3 4 3 6 5 7 a. Find the least squares line. b. Find the correlation coefficient. c. Find the coefficient of determination. d. Find a 99% co

The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .

In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,

Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:

= Mass × distance of its center of gravity from the pivot

Let M be the effective mass that we have to find. Then, we have:

2 kg × 20 cm

= M × 10 cm40 cm

= 10 M4

= MM

= 4

Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.

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When rolling a number cube one time, there are several things that are true. Here are three options:

1. The outcome will be a whole number between 1 and 6: Since the number cube has faces numbered from 1 to 6, rolling it one time will result in one of these whole numbers.

2. Each face has an equal chance of landing face-up: The number cube is designed in such a way that each face has an equal probability of landing face-up when rolled. This means that the chances of rolling a 1, 2, 3, 4, 5, or 6 are all the same.

3. The outcome is independent of previous rolls: Rolling the number cube one time does not depend on or affect any previous rolls. Each roll is considered an independent event, so the previous outcome does not influence the next roll.

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CM is the perpendicular bisector of AB at M, it means that CM is perpendicular to AB, and AM=BM. Therefore, we have two right triangles, triangle AMC and triangle BMC, with a shared side CM, and AM=BM.

By the Pythagorean theorem, we know that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Applying this to triangles AMC and BMC, we have:

AC² = AM² + CM²

BC² = BM² + CM²

Since AM=BM, we can substitute AM for BM in the second equation, giving:

BC² = AM² + CM²

Since the left-hand sides of these two equations are equal (by the given that CM is the perpendicular bisector of AB), we can set their right-hand sides equal to each other and simplify:

AC² = BC²

Taking the square root of both sides gives us:

AC = BC

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The answer is

\(h = - 12\)

it will look like that,.

\( \frac{ - 12}{6} - 1 = - 3\)

Answer:

h= -12

Step-by-step explanation:

h/6+1= -3

h/6= -2

h= -12

Answer:

12

Step-by-step explanation:

You count all of the blue squares

Answer:

f(n) = 32 - 8n

Step-by-step explanation:

24, 16, 8, 0

f(n) = 24 - 8 x (n-1)

f(n) = 32 - 8n

Answer:

i believe it is B

Step-by-step explanation:

x-5=0

+5   +5

x=5

Answer:

- 39x² + 17x

Step-by-step explanation:

5(x - 12x²) + 3(4x + 7x² ) ← distribute both parenthesis

= 5x - 60x² + 12x + 21x² ← collect like terms

= - 39x² + 17x

Answer:

-2.7 is the correct answer.

The constant of proportionality from the number of boxed lunches to the total cost, in dollars and cents is 8.15 dollars, or 8 dollars and 15 cents.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions. In algebra, we utilise numbers with fixed or definite values, such as 2, 2, 0.083, etc.

Given that A company orders boxed lunches from a deli. Assume the cost of each packed lunch is the same. The proportional relationship between the number of boxed lunches ordered, b, and the total cost in dollars and cents, c, can be represented by the equation C = 8. 15b.

We have to determine the constant of proportionality from the number of boxed lunches to the total cost, in dollars and cents

The equation c = 8.15b represents the total cost of the boxed lunches

c represents the total cost

b represents the number of boxed lunches

To find the total cost of multiple items, you generally multiply the cost of a single item by the number of items there are.

Using this, we can find the cost per item is 8.15 dollars, or 8 dollars and 15 cents.

Therefore the constant of proportionality from the number of boxed lunches to the total cost, in dollars and cents is 8.15 dollars, or 8 dollars and 15 cents.

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To solve for x at an angle, you must first understand what type of angle you are working with. If the angle is a right angle, you can use the Pythagorean theorem to solve for x. If the angle is an obtuse angle, you can use the law of cosines to solve for x. If the angle is an acute angle, you can use the law of sines to solve for x.

To solve for x at a right angle using the Pythagorean theorem, you must have the lengths of the two neighboring sides of the triangle. The sum of the squares of the two sides is equal to the square of the hypotenuse, according to the Pythagorean theorem. By rearranging the components and solving for x, this equation may be used to find x.

To use the law of cosines to solve for x at an obtuse angle, you must know the lengths of all three sides of the triangle. According to the law of cosines, the square of one side's length equals the sum of the squares of the other 2 sides minus twice the product of the other 2 sides multiplied by the cosine of the obtuse angle. You can use this equation to solve for x by rearranging the terms and solving for x.

To apply the law of sines to solve for x in an acute angle, you should first know the lengths of the triangle's two sides as well as the acute angle's measurement. According to the law of sines, the ratio of one side's length to the sine of the opposite angle equals the ratio of the other side's length to the sine of the acute angle. By rearranging the terms and solving for x, you may use this equation to solve for x.

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Answer:

Angle D must measure 35°

Step-by-step explanation:

For these triangles to be congruent, ∠A must equal ∠D.

Angles in triangle add to 180:

∠A+∠B+∠C=180

A+58+87=180

A=180-145

∠A=35°=∠D

The value of the angle ∠D is equal to 35° for the given triangles.

Three edges, three angles, and three vertices make up a triangle, a geometric shape. It is a fundamental geometric figure.

A triangle's total angles are always 180 degrees.

The given triangles are ABC and DEF.

Since, The triangles are congruent, therefore, the angles and sides of the triangle will be equal by ASA property.

Angle ∠A must equal angle ∠D.

Sum of all three Angles in triangle is equal to 180

∠A+∠B+∠C=180

∠A+58+87=180

∠A=180-145

∠A=35°

∠A and ∠D are equal, therefore, The ∠D is equal to 35°.

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Answer:

Al-$12 Bob-$16Cindi-$24 Dina-$ 48

Step-by-step explanation:

Basically

x

x+4

x+12

2(x+12)=2x+2y

x+x+4+x+12+2x+24=100

So yeah.

Answer:

(5)(8)(14)

Step-by-step explanation:

Answer: only x=3 is a solution and only x=1 is an extraneous root

For the given expression (x/x-1) - (3/x) = 1/x-1 both x=3 and x=1 are solutions. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is  (x/x-1) - (3/x) = 1/x-1. Check the solution of the expression,

(x/x-1) - (3/x) = 1/x-1

( 3 / 3 - 1 ) - ( 3 / 3 ) = 1 ( 3 - 1 )

( 3 / 2 - 1 ) = 1 / 2

1 / 2 = 1/2

For x = 1 the value is the same.

Therefore, both 3 and 1 are solutions to the given formula (x/x-1) - (3/x) = 1/x-1.

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Answer:

38.9%

Step-by-step explanation:

a=28

b=77

c=33

d=56

e=72

a/e=.388888888

Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.

One such vector is: w = (1/sqrt(2))<0, 0, 20> = <0, 0, 10sqrt(2)>. To find the vector in the direction of maximum rate of change,

we need to find the gradient of f(x, y) at the point (-1, 2) and then normalize it. The gradient of f(x, y) is given by: grad(f) = <2xy^3, 3x^2y^2> ,So, at the point (-1, 2),

we have: grad(f) = <−16, 12>, To normalize this vector, we need to divide it by its magnitude: ||grad(f)|| = sqrt((-16)^2 + 12^2) = 20 .

So, the vector in the direction of maximum rate of change is: v = (1/20)<−16, 12> = <-0.8, 0.6>, To find the vector in the direction of minimum rate of change, we can find the negative of the gradient and normalize it: grad(f) = <−16, 12>, ||grad(f)|| = 20.

So, the vector in the direction of minimum rate of change is: v = (1/20)<16, -12> = <0.8, -0.6>, Finally, to find a direction in which the rate of change is zero, we need to find a vector perpendicular to the gradient. One way to do this is to take the cross product of the gradient with any nonzero vector in the plane.

For example, we can take the vector <1, 0>: grad(f) = <−16, 12>, v = <1, 0>, u = v x grad(f) = <0, 0, 20>, So, any vector in the direction of u will have zero rate of change. One such vector is: w = (1/sqrt(2))<0, 0, 20> = <0, 0, 10sqrt(2)>.

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Answer:

The Linear Program for Sleek Sdn. Bhd. that optimizes profit can be formulated as follows:

Objective Function:

Maximise 25D + 45A

Constraints: 1.5D + 2.5A ≤ 500 (Legs constraint)

                    0.5D + 0.5A ≤ 75 (Labour constraint)

Where,  D = number of Deni stools produced

             A = number of Arni stools produced

To graph the 2-variable Linear Program, we plot the legs constraint and the labour constraint on the graph and shade the feasible region (region that satisfies all the constraints).

Since x1 is unrestricted, we draw the graph with x2 on the horizontal axis and x1 on the vertical axis.

Then, we solve for the intercepts of the two constraints as follows:

                   1.5D + 2.5A = 500

                ⇒ D = (500 - 2.5A)/1.5 and 0.5D + 0.5A = 75

                ⇒ D = 150 - A.

Then, we can form the following table:

                     A D (500 - 2.5A)/1.5 150 - A0 333.33 15050 300 100100 266.67 50

Finally, we plot the points (0,150), (50,100), (100,50), and (266.67,0) on the graph and connect them to form the feasible region.

We can then plot the objective function (profit)

                             25D + 45A = C on the graph and find all the optimal solutions.

Since the objective function is a straight line, we can easily see that there are multiple optimal solutions on the line segment joining (50,100) and (100,50).

We can then read off the corresponding values of D and A to find the optimal solutions.

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Answer:

m < 1 = 80

m < 2 = 70

Step-by-step explanation:

As we can see in the figure that

\(a || b\)

Plus line s and t are considered to be transversals

That results into

m < 1 and 80

i.e alternate angles

And as we know that alternative angles are equal to each other

So,

m < 1 = 80

Moreover,

m < 2 = 70

As corresponding angles are equal to each other

Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things

Answer:

10

Step-by-step explanation:

"three times r" = 3r

"three times r minus ten" = 3r - 10

"product of 5 and the difference of three times r minus ten"

= 5 (3r - 10)

given that r = 4,

the expression becomes

5 (3r - 10)

= 5 [3(4) - 10]

= 5 [12 - 10]

= 5 (2)

= 10

Answer:

Circle

Step-by-step explanation:

because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1

ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1

parabola is y= a (x-h) 2+ k

that's why circle is the answer

Answer:

x=2.51

Step-by-step explanation:

-2.49=-5+x

-5+x=-2.49

-5+x+5=-2.49+5

x=2.51

Answer: not spend anything

Step-by-step explanation:

not spend anything :) YOUR WELCOME

Answer:

UV=10.5

Step-by-step explanation:

in triangle XUV it is a right angle at U

sin41=opp/hyp

sin 4` =UV/16

UV=16sin41°

UV=10.5

Answer:

probabilty that lloyd doesnt win a game = 1 - p(winning a game)

                                                                         1 - 1/9

                                                                       =8/9