The following estimated regression equation was developed for a model involving two independent variables.

ŷ​ =40.7+8.63x1​+2.71x^2​

After x2 was dropped from the model, the least squares method was used to obtain an estimated regression equation involving only x1 as an independent variable.

ŷ= 42.0+9.01x1
​
Required:
a. Give an interpretation of the coefficient of x1 in both models.
b. Could multicollinearity explain why the coefficient of x1 differs in the two models? If so, how?

The calculated measure of m∠PNM is 87 degrees

from the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

Answer:

26

Step-by-step explanation:

A (+) and a (-) will always be a minus, so 48+(-22) becomes 48 - 22, which equals 26.

Answer:

26.

Step-by-step explanation:

48 - 22 = 26.

Answer:

area= base(length)*height(width)

possible dimensions

4 *3, 3*4

6*2, 2*6

12*1, 1*12

Answer:

Number of boys = 18

number of girls = 14

ratio = 18:14 = 9:7

for every 9 boys there are 7 girls

Answer:

For every 18 boys, there are 14 girls.

You can divide by 2 and you will get:  

For every 9 boys, there are 7 girls.

The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D

In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.

The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.

In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.

Option D

For more such questions on contains filler visit:

https://brainly.com/question/14365146

#SPJ8

Answer:D

Step-by-step explanation:

Answer:12.5 ft

Step-by-step explanation:

20.75-8.25

12.5

Answer:

12.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

no problem

Step-by-step explanation:

Answer:

53*15*12=9540

Step-by-step explanation:

its just 53 times 15 times 12 for all the possibilities.

Say the first football player was picked, same with the first baseball player, and the first basketball player were all picked, then another possiblity would be the first football player, the second baseball player, and the first basketball player, here is a numerical example.

Football            Baseball             Basketball

     1                         1                             1  

     1                         2                            1

     1                         2                            2

     1                         2                            3

     1                         2                            4

and so on including all the patterns it would be 9540 possibilities

The total number of ways of forming a committee by selecting one representative from each team is 9540.

A combination is a mathematical technique that determines the number of possible arrangements or the number of ways  in a collection of items where the order of the selection does not matter.

\(nC_{r}= \frac{n!}{r!(n-r)!}\)

Where,

\(nC_{r}\) is a number of combination.

n is total number of objects in the set.

r is the number of choosing objects from the set.

According to the multiplication rule in combination if there are a ways of doing something and b ways of doing another thing, then there are a · b ways of performing both actions.

According to the given question

Total number of football players = 53

Total number of baseball players = 15

Total number of basket ball players = 12

Therefore,

Number of ways of selecting one representative from football team is given by  

\(53C_{1} =\frac{53!}{1!52!} = 53\)

Number of ways of selecting one representative from baseball team is given by

\(15C_{1} =\frac{15!}{1!14!}=15\)

Number of ways of selecting one representative from basketball team is given by

\(12C_{1} =\frac{12!}{1!11!} =12\)

So, the total number of ways of forming a committee by selecting one representative from each team = 53 × 15 × 12 =9540.

Hence,  total number of ways of forming a committee by selecting one representative from each team 9540.

Find out more information about combination here:

https://brainly.com/question/13387529

#SPJ2

Answer:

8

Step-by-step explanation:

if you divide 32 by 4 its 8

Answer:

8 dollars a game

Step-by-step explanation:

divide 4 into 32 and you get 8

Answer:

14 days

Step-by-step explanation:

Answer:

The firsts one is -93

The second is -20

Step-by-step explanation:

Just add the numbers yo each number togetherput a negative sign in front and you have your answer. For how to add a negative.

Note If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.

Answer:

-7

Step-by-step explanation:

8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.

Choice D is correct

Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.

Answer:

The answer is below

Step-by-step explanation:

Let t1 be the arrival times between a packet and its immediate predecessor and t2 be the arrival times between a packet and successor. Let L1 be the lengths of the predecessor packet and L2 the length of the packet itself. Therefore:

P(no collision between packet and predecessor or successor) = \(P(t_1>L_1)P(t_2>L_2)\)

If P1 is the probability that there is no collision with preceding packets, hence:

P(no collision with other packets) = \(P_1*P(t_2>L_2)\)

λ = 10 packets/s, fixed packet length = 20 ms = 0.02 s. Hence:

\(P(t_1>L_1)=P(t_2>L_2)=e^{-\lambda *0.02}=e^{-10*0.02}=e^{-0.2}\)

P(no collision between packet and predecessor or successor) = \(P(t_1>L_1)P(t_2>L_2)\) = \(e^{-0.2}*e^{-0.2}=e^{-0.4}\)

P(packet collides with either its predecessor or its successor) = 1 - P(no collision between packet and predecessor or successor) = \(1-e^{-0.4}=0.33\)

If the transmission times change, the answer would also change.

Answer:

192 square feet of material

Step-by-step explanation:

You find the area of the pool, which is length x width, and that is 12 x 16, which is equal to 192

I hope this helps!

Answer:

16 x 12=192

Step-by-step explanation:

Answer:

this is pretty easy we just replace the x with -1 so

(-1)^2+(-1)9+10

-1*-1=1

-1*9=-9

1+-9=-8

-8+10=2

f(-1)=2

Hope This Helps!!!

-49 is a rational number.

There are only 3 types of numbers that are irrational.

1.

2. Square roots that are not perfect squares (e.g. the suqare root of 5)

3. Numbers that don't end, and are not repeated. (e.g. 4.765544323456765432345654345.....)

Hope this helps! Please mark me as brainliest!

Have a great day!

Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.

To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.

The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:

Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).

Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.

Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.

If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.

In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.

for such more question on expression

https://brainly.com/question/16763767

#SPJ8

Yes, the solution is correct as x = 4

Algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.

These expressions are also composed of operations, such as;

From the information given, we have that;

8 - √x = 10

collect the like terms

- √x = 10 - 8

subtract the values

- √x = 2

Then, we have;

√x = -2

Take the square root of both sides

x = (-2)²

x = 4

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Answer:

alright so 1 and 2 are equal to each other because there congruent angles. When angkes are congruent to each other or in other words the opposite to each other there equal.

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

The graph of y=-3x-1 is given in the attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is  y=-3x-1

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

In the given equation slope is -3.

Let us find few values of x and y.

x    0    1    2     3    4

y    -1   -4   -7    -10  -13

Hence, the graph of y=-3x-1 is given in the attachment.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

Given that

The function is y = -x² - 6 and we have to find its values from x = -3 to x = 3.

With the help of these values, we have to draw a graph and a table.

Explanation -

So on substituting the values of x we have

So the table will be as

x -3 -2 -1 0 1 2 3

y -15 -10 -7 -6 -7 -10 -15

And the graph will be

The rate of change in sales volume when the price is $22 is -0.107 and When the price increases $1, the sales volume will decrease by -48

The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity

According to the question,

y denotes the weekly sales volume and p denotes the price per unit

Equation is \(y = \frac{32}{3p + 1^{\frac{-2}{5}}}\)

(a) We have to find the rate of change in sales volume when price is $22

Differentiating the equation w.r.t p,

\(\frac{dy}{dp} = \frac{-32(3)}{(3p + 1^\frac{-2}{5})^2}\)

Putting value of p = 22

=> \(\frac{dy}{dp} = \frac{-32(3)}{(3(22) + 1^\frac{-2}{5})^2}\)

=> -96 / (66 + 1 - 2(22)(1))²

=> -96 / 897

=> -0.107

(b) To find If the price increases $1, the sales volume will decrease by

Replacing p = 1

=> dy/dp = -96/2

=> -48

To know more about Rate of change here

https://brainly.com/question/29518179

#SPJ4

Let \(x\) and \(y\) be the amounts of available alloy (AA) and pure magic steel that are used, so we also have

\(x + y = 2.7\)

DA13 is supposed to contain 7% gold, 3% silver, and 90% steel, so that 2.7 kg of it is made up of

\(0.07 \times 2.7 \,\mathrm{kg} = 0.189 \,\mathrm{kg} \text{ gold}\)

\(0.03 \times 2.7 \,\mathrm{kg} = 0.081 \,\mathrm{kg} \text{ silver}\)

\(0.90 \times 2.7 \,\mathrm{kg} = 2.43 \,\mathrm{kg} \text{ magic steel}\)

For each kg of the available alloy (AA), there is a contribution of 0.21 kg of gold, 0.09 kg of silver, and therefore 0.70 kg of steel; \(x\) kg of it will contain \(0.21x\) kg of gold, \(0.09x\) kg of silver, and \(0.70x\) kg of steel. Each kg of magic steel of course contributes 1 kg of steel; \(y\) kg of it will contribute \(y\) kg of steel.

Then the dwarves need

• total gold: \(0.21x = 0.189\)

• total silver: \(0.09x = 0.081\)

• total steel: \(0.70x + y = 2.43\)

Solve for \(x\) and \(y\). The first two equations are consistent and give \(x = 0.90\), and substituting this into the third we find \(y = 1.80\). So the dwarves must combine 0.90 kg of AA and 1.80 kg of magic steel.

Answer:

The answer is 8

Step-by-step explanation:

2x-3=13

2x=13+3

2x=16

x=8