A student said that a pair of complementary angles cannot also be adjacents. Is the student correct?

The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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Answer:

Step-by-step explanation:

For the first possible answer (y = -4):

I don't know how to explain the second one, I'm sorry!

Answer:

y = -8

y = -4

Step-by-step explanation:

The equation |6 + y| = 2 can only be true when 6 + y = -2 and 6 + y = 2. This is because:

|-2| = 2

and

|2| = 2

First, lets find for what y values the equation 6 + y = -2 is true. Solve for y:

6 + y = -2

Subtract 6 from both sides.

y = -8

So now we have one of the values of y.

To find the second value of y, we must solve for y in the equation 6 + y = 2:

6 + y = 2

Subtract 6 from both sides.

y = -4

So the two values of y are -8 and -4.

I hope you find my answer and explanation to be helpful. Happy studying.

The average rate of change, in simplest form, is -2/5.

What is average rate ?

Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.

The rate of change of the function is its gradient or slope.

The formula for calculating the gradient of a function is expressed as:

\(m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}$$\)

Using the coordinate points from the table (0,41) and (15,35)

Substitute the coordinate into the expression:

\($$\begin{aligned}& m=\frac{35-41}{15-0} \\& m=\frac{-6}{15} \\& m=\frac{-2}{5}\end{aligned}$$\)

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Answer:

m∠ACD = 40°

Step-by-step explanation:

(4x + 2) + (6x - 12) = 8x,

10x - 10 = 8x,

2x = 10,

x = 5

8(5) = 40°

Answer:

356.82

Step-by-step explanation:

Answer:

Hey there!

Solving for a:

a=x-b

Solving for x:

x=a+b

Solving for b

a+b=x

b=x-a

Let me know if this helps :)

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{48})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{128}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{128}-\stackrel{y1}{48}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{3}}} \implies \cfrac{ 80 }{ 5 } \implies \text{\LARGE 16}\)

Answer: A) SAS

The tickmarks tell us which pair of sides are congruent.

The sides with single tickmarks are the same length. The sides with double tickmarks are the same length.

The arcs drawn for the angles show they are the same measure.

The angle is between the two congruent sides for each triangle. The angle must always be between the two congruent sides to use SAS.

Answer:

30/100

Step-by-step explanation:

Since it was 30 out of 100, the answer is 30/100.

Answer:

3/10 of the days were sunny.

Step-by-step explanation:

We know that out of 100 days, 30 were sunny. So, we will make the fraction 30/100.

We can simplify this fraction by dividing both the numerator and the denominator by 10.

30 ÷ 10 = 3

100 ÷ 10 = 10

3/10 of the days were sunny.

The equation of the line perpendicular to PQ passing through Z is:

y - ZY = 21/29(x - ZX)

To solve this problem, we can use the fact that the centroid of a triangle divides each median into two segments, where the length of the segment adjacent to the vertex is twice the length of the other segment.

Let M be the midpoint of WY, N be the midpoint of WX, and Z be the centroid of triangle WXY. Then, we know that:

WM = MY

WN = NX

ZM = 2ZC

ZN = 2ZB

where ZB and ZC are the lengths of the segments of the median from vertex W that intersect XY at points B and C, respectively.

We can use this information to set up a system of equations:

WM + WN = WY

ZM + ZN = ZW

ZC + ZB = ZX

Substituting the given values, we have:

(87/2) + (39/2) = WY

2ZC + 2ZB = WZ

48 + (87/2) = ZX

Simplifying each equation, we get:

WY = 63

ZC + ZB = WZ/2

ZX = 141

Now, we can use the fact that the sum of the lengths of the medians of a triangle is equal to three times the length of the segment connecting the centroid to the circumcenter. That is:

WX + WY + WZ = 3 × ZO

where O is the circumcenter of triangle WXY.

Substituting the given values and the values we found earlier, we have:

WX + 63 + 141 = 3 * ZO

Simplifying, we get:

WX = 3ZO - 204

To solve for WX, we need to find ZO. We know that the circumcenter is the intersection of the perpendicular bisectors of the sides of the triangle. Let P be the intersection of the perpendicular bisectors of WY and WX, and Q be the intersection of the perpendicular bisectors of WY and XY. Then, ZO is the distance from Z to the line PQ.

We can find the equation of PQ by finding the midpoint of WY and WX, which is M. Then, the slope of PQ is the negative reciprocal of the slope of the line passing through M and Z.

We know that the slope of the line passing through M and Z is:

(ZM - MY) / (ZW - WM) = (2ZC - MY) / (WZ - WM)

Substituting the given values and the values we found earlier, we have:

(2ZC - 63/2) / (141/2 - 87/2) = (2ZC - 63/2) / 27

Solving for ZC, we get:

ZC = 117/2

Now, we can find the equation of PQ. The midpoint of WY is (0, 63/2), and the midpoint of WX is (87/2, 0). Therefore, the slope of PQ is:

(-87/2) / (63/2) = -29/21

The equation of PQ is therefore:

y - 63/2 = (-29/21)(x - 87/2)

Simplifying, we get:

29x + 21y = 1911

To find ZO, we need to find the distance from Z to the line PQ. We know that the equation of the line perpendicular to PQ passing through Z is:

y - ZY = 21/29(x - ZX)

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Complete Question

If Z is the centroid of ΔWXY, WR=87, SY=39, and YT=48, find each measure.

a)WS=

b) WY =

c) WZ =

d) ZR =

e) ZT =

f) YZ =

Under the assumptions of OLS, the OLS estimator is unbiased for the population slope coefficient.

the derivation of the condition E(β^​1​∣x)=β1​ and a comment on what it means:

The condition E(β^​1​∣x)=β1​ means that the expected value of the OLS estimator β^​1​ conditional on the independent variable x is equal to the true value of the population slope coefficient β1​. This condition holds under the following assumptions:

The errors are uncorrelated with the independent variable x.

The errors have a constant variance.

The errors are normally distributed.

If these assumptions are not met, then the condition E(β^​1​∣x)=β1​ may not hold. For example, if the errors are correlated with the independent variable x, then the OLS estimator β^​1​ will be biased.

Here is a comment on what the condition E(β^​1​∣x)=β1​ means.

The condition E(β^​1​∣x)=β1​ means that the OLS estimator β^​1​ is an unbiased estimator of the true value of the population slope coefficient β1​. In other words, if we repeatedly draw samples from the population and estimate the slope coefficient using OLS, then the average of the estimated slope coefficients will be equal to the true value of the slope coefficient.

The condition E(β^​1​∣x)=β1​ is important because it means that we can be confident that the OLS estimator is providing an accurate estimate of the true value of the slope coefficient.

Here are some additional assumptions that are often made in regression analysis

The independent variables are not correlated with each other.

The independent variables are measured without error.

These assumptions are not strictly necessary for the OLS estimator to be unbiased, but they do help to ensure that the estimator is more efficient.

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Answer:

5:6 is bigger than 2:3

4:7 is bigger than 3:8

7:12 is bigger than 4:9

Step-by-step explanation:

4:6 and 5:6

32:56 and 21:56

21:36 and 16:36      

The probability mass function of x is given as:P(x)={0.24 if x=0,0.14 if x=1,0.14 if x=2,0 otherwise}

Let the probability that device A functions correctly be denoted by pA and that device B functions correctly by pB.

We have, $p_A=0.3$ and $p_B=0.8$.

When the devices A and B fail independently, then we will get x failed devices.

Let's find the probability mass function of x.

P(x=0) represents the probability of none of the devices fail i.e. they all function correctly.

P(x=0)

=P(A works and B works)

=P(A works) * P(B works)

= 0.3*0.8

=0.24P(x=1) represents the probability of one of the devices failing while the other functions correctly.

There are two ways in which this could happen - either A fails while B works or B fails while A works.

P(x=1)=P(A fails and B works)+P(B fails and A works)

=P(A fails)*P(B works) + P(B fails)*P(A works)

= (1-P(A works)) * P(B works) + (1-P(B works)) * P(A works)

= (1-0.3)*0.8 + (1-0.8)*0.3

=0.14P(x=2) represents the probability of both the devices failing.

P(x=2)=P(A fails and B fails)

=P(A fails) * P(B fails)

= (1-P(A works))*(1-P(B works))

= 0.7*0.2=0.14

Therefore, the probability mass function of x is given as: P(x)={0.24 if x=0,0.14 if x=1,0.14 if x=2,0 otherwise}

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Answer:  49.0 square meters

====================================================

Explanation:

We'll first need to find the radius of the rug using the circumference.

C = 2*pi*r

r = C/(2pi)

r = (24.8)/(2*3.14)

r = 3.949045 which is approximate.

Now we can find the area

A = pi*r^2

A = 3.14*(3.949045)^2

A = 48.968163 this is also approximate

Rounding to the nearest tenth gets to 49.0

Answer:

\( {4}^{3} {y}^{2} \\ {7}^{3} \\ {3}^{3} {x}^{3} \)

Answer:

-3\(h^{2}\) -17h + 28

Step-by-step explanation:

Answer:Variability

Step-by-step explanation:

The solution to the nonhomogeneous system is a = 4, b = 0, and c = 0.

To solve the nonhomogeneous system of equations:
2a - 4b + 5c = 8
14b - 7a + 4c = -28
c + 3a - 6b = 12

Step 1: Rearrange the equations to put them in standard form:
2a - 4b + 5c = 8       ---> Equation 1
-7a + 14b + 4c = -28   ---> Equation 2
3a - 6b + c = 12       ---> Equation 3

Step 2: Use the method of substitution or elimination to solve the system. Let's use the elimination method:
Multiply Equation 1 by -7 and Equation 2 by 2:
-14a + 28b - 35c = -56  ---> Equation 4
-14a + 28b + 8c = -56   ---> Equation 5

Subtract Equation 4 from Equation 5 to eliminate the "a" terms:
0 + 0 - 43c = 0
-43c = 0

Since -43c = 0, c must be equal to 0.
Substitute c = 0 into Equation 1:
2a - 4b + 5(0) = 8
2a - 4b = 8

Multiply Equation 3 by 2:
6a - 12b + 2c = 24   ---> Equation 6
Substitute c = 0 into Equation 6:
6a - 12b + 2(0) = 24
6a - 12b = 24

Now we have two equations:
2a - 4b = 8     ---> Equation 7
6a - 12b = 24   ---> Equation 8

Divide Equation 8 by 6:
a - 2b = 4
Multiply Equation 7 by 3:
6a - 12b = 24

Subtract the new Equation 7 from Equation 8 to eliminate the "a" terms:
0 + 0 - 36b = 0
-36b = 0
Since -36b = 0, b must also be equal to 0.

Now, substitute b = 0 into Equation 7:
2a - 4(0) = 8
2a = 8
Divide both sides by 2:
a = 4

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Answer:

3x-3y=-4 and y+2=3/4x+4

Step-by-step explanation:

parallel line equations have the same slope. just find the equation that also has positive 3 in this problem

Answer:

B & D

Step-by-step explanation:

Given that the production function of a firm is f(x1, x2) = x1^(1/3) * x2^(2/3), where price of x1 = 1 and price of x2 = 2. Let's derive the conditional demand for x1 and cost function c(y).

Conditional demand for x1 can be derived as:

∂f(x1, x2)/ ∂x1 = (∂/∂x1) (x1^(1/3) * x2^(2/3))= (1/3) * x1^(-2/3) * x2^(2/3)

Now, put the value of x2 = (y/ x1^(1/3))^3 in the above equation.

∂f(x1, x2)/ ∂x1 = (1/3) * x1^(-2/3) * (y/ x1^(1/3))^2 = (1/3) * y^2 * x1^(-4/3)

Since price of x1 = 1, the cost function can be written as c(y) = w1 * x1 + w2 * x2 = x1 + 2x2 = x1 + 4(y/ x1^(1/3))

The cost function of the firm is

c(y) = x1 + 4y^(1/3) * x1^(-1/3) = x1 + 4y^(1/3)/x1^(1/3)

In order to maximize the profit, we need to differentiate the cost function with respect to x1 and equate it to zero.

(c(y))/d(x1) = 1 - 4/3 * y^(1/3) * x1^(-4/3) = 0

x1 = (3/4) * y^(1/3)

On substituting the value of x1 in the cost function, we get:  

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it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

A cluster sample is a sampling technique where the population is divided into clusters or groups, and a subset of clusters is selected at random to form the overall sample. In this type of sampling, all members of the selected clusters are included in the sample.

In the given example, the airline company selects 555 flights as clusters and surveys every passenger on those flights. Each flight represents a cluster, and by selecting random flights, the company includes every passenger on those selected flights in the survey.

This cluster sampling approach is suitable when each group or cluster is representative of the overall population. It is useful when it is impractical or costly to sample every individual unit within the population, but the selected clusters are expected to reflect the characteristics of the entire population.

Cluster sampling allows for more practical data collection, particularly when dealing with large populations or geographically dispersed units. However, it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

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Answer:

Step-by-step explanation:

answer is B

Answer:

see below :)

Step-by-step explanation:

1. (3x+2)(x+1)

2. (2x+1)(3x+4)

3. (2x-5)(x-3)

4. (3x+1)(2x-3)

5. 2(4x-5)(x+1)

Answer:

1.

avg time = total time/ 3

for big car :-

= 4.46/ 3

= 1.48

for small car :-

= 5.14/ 3

= 1.71

2.

avg speed = total distance/ total time

for big car:-

= 2/ 4.46

= 0.45

for small car :-

= 2/ 5.14

= 0.4

Answer:

18.42

Explanation:

15+3=18

0.4+0.02=0.42

18+0.42=18.42