If the variable attractiveness increases as the variable weight remains constant, the correlation is said to be?

Answer:

12,20

Step-by-step explanation:

That's the answer

A linear regression model with a single dummy variable predicting a continuous dependent variable is equivalent to an equal variances independent samples t-test is true.

A linear regression model with a single dummy variable predicting a continuous dependent variable is equivalent to an equal variances independent samples t-test under certain conditions.

The single dummy variable acts as a categorical predictor, taking on two values (typically coded as 0 and 1) to represent two groups.

The continuous dependent variable represents the outcome being predicted.

When the linear regression model with a single dummy variable has only one predictor, the estimated coefficient for the dummy variable represents the difference in means between the two groups.

In other words, it quantifies the average difference in the outcome variable between the two groups.

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Answer:

\(xy^2+2x-4y^2\)\(;-58\)

Step-by-step explanation:

First, align the same terms next to each other so that combining like terms will be easier.

Remember like terms have the same variables and powers. To combine like terms, all you have to do is add/subtract the coefficients (the numbers in from of the variables).

\(2xy^{2} +2xy^{2} -3xy^{2} +3x-x-4y^{2}\)

\(2xy^{2} +2xy^{2} -3xy^{2} =xy^{2}\)

\(3x-x=2x\)

And \(-4y^{2}\) stays the same because there is no term that has \(y^{2}\).

So, we have \(xy^{2} +2x-4y^{2}\).

Now to evaluate for x= -2 and y= -3 you have to plug them into the simplified expression.

\((-2)(-3)^{2} +2(-2)-4(-3)^{2}\)

According to PEMDAS we first solve the exponents: \((-2)(9) +2(-2)-4(9)\)

Then we multiply:

\((-18) +(-4)-36\)

Add/subtract:

-58

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer: 3/7 (Smallest), 0.43, 7/16, 43.8% (largest)

Step-by-step explanation:

0.43

3/7 = 0.4286

43.8% = 0.438

7/16 = 0.4375

Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)  

 = \(\sqrt{3^2+(1+3)^2}\)

 = \(\sqrt{3^2+4^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

Answer:

(7, -8), (-7, -8) and (-7, 9), (7, 9)

Step-by-step explanation:

Well the only time when the slope is undefined, is when we have a vertical line. This means the x-values are all the same, and y-values are different.

So to have a defined slope, the two points must have different x-values, since if they do have the same x-value, the slope equation becomes: \(\frac{y_2-y_1}{x_2-x_1}\implies\frac{y_2-y_1}{0}\) since the x-values are the same so subtracting them gets a 0 in the denominator.

The only two pairs here with different x-values are (7, -8),  (-7, -8)

and the pair (-7, 9), (7, 9)

Answer:

90 notebooks and folders

Step-by-step explanation:

Find the least common multiple (LCM) or 18 and 15!

18 x 5 = 90

15 x 6 = 90

Therefore, your answer is 90

Hope this helps!

Answer:

It is not exponential because it is f(x)= x-3.141.

Step-by-step explanation:It is a slope-intercept formula. An exponential formula is y=a^x

Answer:

Step-by-step explanation:

Answer:

0, 1.00, 1.50, and 4.50

Step-by-step explanation:

Hope this helps

(b) The given differential equation is separable as shown below: dy/dx + 2xy = e^-x(2x+1)sinx ... (1)

Separating the variables in equation (1) gives:dy = e^-x(2x+1)sinx dx / (1 + 2xy)

We will now integrate both sides: ∫dy / (1 + 2xy) = ∫e^-x(2x+1)sinx dx+ C ... (2)

We will now make use of the substitution u=1+2xy, and solve for du/dx.

This gives:du/dx = 2y + 2xdy/dx ... (3)

Substituting (3) in (2) yields:∫1/2 du/u = -∫e^-x(2x+1)sinx dx + C1/2 ln(u) = -e^-x cos x - ∫e^-x cos x dx + C

We will then substitute u back into the equation above and simplify:1/2 ln(1+2xy) = e^-x sin x - e^-x cos x + C ... (4)

We will now substitute y(0)=5 in equation (4) to obtain the value of C:1/2 ln(1+2x*5) = e^0 sin 0 - e^0 cos 0 + C1/2 ln(1+10x) = 1 + CSo,C = 1/2 ln(1+10*0) - 1/2 ln(1+10*0) = 0

Thus, equation (4) becomes:1/2 ln(1+2xy) = e^-x sin x - e^-x cos x ... (5)

We will now simplify equation (5) by taking the exponential of both sides:1+2xy = e^{2(e^-x sin x - e^-x cos x)}x=0, y=5

Thus,1+2(0)(5) = e^{2(e^0 sin 0 - e^0 cos 0)}e^(0) = 1

Therefore, the particular solution to the given differential equation with the initial condition y(0) = 5 is:1+2xy = e^{2(e^-x sin x - e^-x cos x)} ... (6)

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The value of the given expression will be equal to ( x + y )² = a + 8.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The expression will be calculated as:-

( x + y )² = x² + y² + 2 xy

( x + y )²  =  a  +  2 x ( 4 )

( x + y )²  =  a  +  8

Therefore the value of the given expression will be equal to ( x + y )² = a + 8.

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Answer:

B

Step-by-step explanation:

Answer B is the result of simplifying

Answer:

400000

Step-by-step explanation:

Answer:

In Triangle FGH, m<F = 42 and an exterior angle at vertex H as a measure of 104. What is the measure of <G?

Step-by-step explanation:

Answer:

82 units

Step-by-step explanation:

look at the paper...

Answer: \(\frac{b^1^0}{a^1^0c}\)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

75%   of what number is 150

75          150

----- =  ---------

100       x

75*2 = 150

So multiply the left by 2/2

75*2          150

----- =  ---------

100*2       x

150

------

200

Answer:

The last question

Step-by-step explanation:

I took the test

The surface area of the cylinder is 118.76 square inches if the height is 8 inches and base radius is 4 inches.

A cylinder is defined as a solid geometric figure with straight parallel sides and a circular or oval cross section.

Surface area is the amount of space covering the outside of a three-dimensional shape.

Surface area  of the cylinder is calculated as  : - 2πr² + 2πrh

We have:

Height of the cylinder h = 8 inches

The radius r = 4 inches

π = 3.14

Surface Area  = 2(3.14)(4)² + 2(3.14)(4)(8)

surface Area = 2x 3.14 x 16 + 18.28

surface Area = 100.48 + 18.28

surface Area = 118.76 square inches

Therefore , the surface area of the cylinder is 118.76 square inches if the height is 8 inches and base radius is 4 inches.

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The word AND in probability implies that we use the​ multiplication rule.

The word OR in probability implies that we use the​ addition rule.

The statement "if two events are disjoint, then they are independent" - this statement is FALSE because those events that cannot occur simultaneously, and independent events are those events that do not affect the probability of each other's occurrence.

The word "AND" in probability implies that we use the "multiplication rule." This rule states that the probability of two events occurring together is the product of their individual probabilities.

The word "OR" in probability implies that we use the "addition rule." This rule states that the probability of at least one of the events occurring is the sum of their individual probabilities, minus the probability of both events occurring simultaneously.

Two events can be either disjoint or independent, but they cannot be both at the same time. For instance, let's say we are rolling a die. The events "getting a 1" and "getting an even number" are disjoint, as they cannot occur simultaneously. However, they are not independent, as the occurrence of one event affects the probability of the other event occurring. Specifically, if we get a 1, the probability of getting an even number reduces to zero.

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The word AND in probability implies the multiplication rule, while the word OR implies the addition rule. Disjoint events are not necessarily independent.

The word AND in probability implies that we use the multiplication rule. The word OR in probability implies that we use the addition rule.

However, it is FALSE that if two events are disjoint, then they are independent. Disjoint events mean that they have no outcomes in common, while independent events mean that the occurrence of one event has no effect on the probability of the occurrence of the other event.

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Answer:

A = Rs 48,000

B = Rs 24,000

C = R2 8,000

Step-by-step explanation:

To solve this problem, create and solve a system of linear equations using the given information.

From the given information:

Therefore, the system of linear equations is:

\(\begin{cases}A=2B\\B=3C\\A+B+C=80000\end{cases}\)

Substitute the second equation into the first to create and equation for A in terms of C:

\(\begin{aligned}A &= 2B\\&=2(3C)\\&=6C\end{aligned}\)

Substitute this and the second equation into the third equation and solve for C:

\(\begin{aligned}A+B+C&=80000\\6C+3C+C&=80000\\10C&=80000\\C&=8000\end{aligned}\)

Now that we have found the monthly income of person C, substitute this value into the expressions for A and B to calculate the monthly incomes of persons A and B:

\(\begin{aligned}A &=6C\\&=6(8000)\\&=48000\end{aligned}\)

\(\begin{aligned}B &=3C\\&=3(8000)\\&=24000\end{aligned}\)

Therefore, the monthly income of each person is:

There are 77,910 ways to distribute the seven distinct apples and six distinct pears to three distinct people such that each person has at least one pear.

We can use the principle of inclusion-exclusion to solve this problem. Let A be the set of all possible ways to distribute the apples and pears without any restrictions, and let B, C, and D be the sets of ways to distribute the apples and pears such that person 1, person 2, and person 3, respectively, does not receive a pear.

We can compute |A|, the total number of ways to distribute the apples and pears, as follows:

|A| = (7 + 6) choose 3 = 78 choose 3 = 82,251

To compute |B|, we can first choose 6 pears to give to persons 2 and 3 (since person 1 cannot receive a pear). This can be done in (6 choose 2) = 15 ways. Then, we can distribute the remaining 7 apples and 1 pear to the three people in any way, which can be done in (8 choose 1) * (6 choose 2) = 84 ways. Therefore, |B| = 15 * 84 = 1,260.

Similarly, |C| = |B| and |D| = |B|, since the problem is symmetric with respect to the three people.

To compute |B intersection C|, we can choose 6 pears to give to person 3 (since persons 1 and 2 cannot receive a pear). This can be done in (6 choose 1) = 6 ways. Then, we can distribute the remaining 7 apples and 2 pears to persons 1 and 2 in any way, which can be done in (9 choose 2) = 36 ways. Therefore, |B intersection C| = 6 * 36 = 216.

Similarly, |B intersection D| = |C intersection D| = |B intersection C|, since the problem is symmetric with respect to the three people.

To compute |B intersection C intersection D|, we can simply distribute the 7 apples and 3 pears among the three people in any way, which can be done in (13 choose 3) = 286 ways.

Therefore, by the principle of inclusion-exclusion, the number of ways to distribute the apples and pears such that each person has at least one pear is:

|A intersection complement(B union C union D)| = |A| - |B union C union D| = |A| - (|B| + |C| + |D| - |B intersection C| - |B intersection D| - |C intersection D| + |B intersection C intersection D|) = 82,251 - (3 * 1,260 - 3 * 216 + 286) = 77,910.

Therefore, there are 77,910 ways to distribute the seven distinct apples and six distinct pears to three distinct people such that each person has at least one pear.

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The functions in question satisfy the conditions of Rolle's Theorem, ensuring the existence of points where their derivatives are zero.

5. The function f(x) = 2x - 4x + 5 on the interval [1,3] satisfies the hypotheses of Rolle's Theorem because it is continuous on [1,3] and differentiable on (1,3). The function is also equal at the endpoints, f(1) = 2(1) - 4(1) + 5 = 3 and f(3) = 2(3) - 4(3) + 5 = -1.

6. The function f(x) = x - 2x - 4x + 2 on the interval (-2,2] satisfies the hypotheses of Rolle's Theorem because it is continuous on (-2,2] and differentiable on (-2,2). The function is also equal at the endpoints, f(-2) = (-2) - 2(-2) - 4(-2) + 2 = -4 and f(2) = 2 - 2(2) - 4(2) + 2 = -8.

7. The function f(x) = sin(x/2) on the interval [#/2, 3/2] satisfies the hypotheses of Rolle's Theorem because it is continuous on [#/2, 3/2] and differentiable on (#/2, 3/2). The function is also equal at the endpoints, f(#/2) = sin(#/4) and f(3/2) = sin(3#/4).

8. The function f(x) = x + 1/x on the interval [1,2] satisfies the hypotheses of Rolle's Theorem because it is continuous on [1,2] and differentiable on (1,2). The function is also equal at the endpoints, f(1) = 1 + 1/1 = 2 and f(2) = 2 + 1/2 = 2.5.

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The equation of the line with given coordinates in slope intercept form is given by y = 6x.

Use the slope-intercept form of the equation of a line,

y = mx + b,

where m is the slope of the line

And b is the y-intercept.

The slope of the line is equals to,

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points on the line.

Using the coordinates (-3, -18) and (3, 18), we get,

⇒m = (18 - (-18)) / (3 - (-3))

⇒m = 36 / 6

⇒m = 6

So the slope of the line is 6.

Now we can use the slope-intercept form of the equation of a line .

Substitute in the slope and one of the points, say (-3, -18) to get the y-intercept,

y = mx + b

⇒ -18 = 6(-3) + b

⇒ -18 = -18 + b

⇒ b = 0

So the y-intercept is 0.

Putting it all together, the equation of the line in slope-intercept form is,

y = 6x + 0

⇒ y = 6x

Therefore, the slope intercept form of the line is equal to y = 6x.

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Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

\(ax+by = c\)

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

\(a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16\)

"In order for a system of equations to have infinity many solutions,

\(\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}\) "

Putting the values we get

\(\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8\)

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

The equation of line is y = 30x + 75 , where the slope is m = 30 and the y intercept is 75

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 105 )

Let the second point be Q ( 3 , 165 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 165 - 105 ) / ( 3 - 1 )

Slope m = ( 60 / 2 )

Slope m = 30

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 105 = 30 ( x - 1 )

On simplifying the equation , we get

y - 105 = 30x - 30

Adding 105 on both sides of the equation , we get

y = 30x + 75

Hence , the equation of line is y = 30x + 75

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Answer:

i think the answer is Function 4 i dont know for sure

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Replacing three repairers with a superworker would be cost-effective for the laundromat as the expected repair time would increase and lead to more downtime for the machines.

To determine if the laundromat should replace the three repairers with the superworker, we need to compare the expected repair time under each scenario.

With three repairers, the expected time to repair a machine is the sum of the expected time until a machine breaks down and the expected time for a repairer to fix it

E(time with three repairers) = 5 + 2.5/3 = 6.167 days.

With the superworker, the expected time to repair a machine is

E(time with superworker) = 5/6 = 0.833 days.

Therefore, on average, it takes much less time to repair a machine with the superworker than with three repairers. Since the salary of the superworker is equal to that of three repairers, the laundromat should replace the three repairers with the superworker. It is also more cost-effective.

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