(7 points) Briefly explain what perfect multicollinearity is and how it relates to what is often called the "dummy variable trap". This is where if you have multiple binary regressors (variables that are either 0 or 1) to represent a series of groups, you have to leave the variable that represents one of the groups out of the regression.

Answer:

  C. correct, but can be further simplified

Step-by-step explanation:

Elliot's work is correct, but he apparently failed to recognize that 64 = 8². The radical could be simplified to ...

  √64 = 8

Answer:

c

Step-by-step explanation:

got it right

Answer:x=7 x=-3

Step-by-step explanation:

(x-2)^2=25

Take the Square root of both sides

(x-2)=±√(25)

x-2=±5

x=2±5

x=2+5 or x=2-5

x=7 or x=-3

The solution for the given equation is x=26 and x=16.

The given equation is (x − 21)² = 25.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

(x − 21)² = 25

⇒ (x − 21)=±√25

⇒ (x − 21)=±5

⇒ x=±5+21

⇒ x=5+21 and x=-5+21

⇒ x=26 and x=16

Therefore, the solution for the given equation is x=26 and x=16.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Answer:

f(x) = x + 13

Step-by-step explanation:

f(x) = x

when x = 0, y = 0

f(x) = x + 13

when x = 0, y = 13

Answer:

  plot the points (0, 2) and (π, 4)

Step-by-step explanation:

To use your sine plotting tool, you need two points on the graph. The midline point is given for you. It is the y-intercept, (0, 2).

The maximum amplitude point is 1/4 of a period from this midline point. The frequency is 1/(4π), and the period is the inverse of frequency:

  T = 1/f = 4π

So, 1/4 of a period is ...

  T/4 = (4π)/4 = π

The peak value of the function is the amplitude added to the midline, so is 2+2 = 4.

The second point you need to plot is the peak value, (π, 4).

Your points are (0, 2) and (π, 4).

Answer:

8/125 = 0.064

Step-by-step explanation:

(2/5)*(2/5)*(2/5)=8/125

Answer:

(6.2, 8.8).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5 hours

Standard deviation = 1.3 hours

About 68% ...

By the Empirical Rule, within 1 standard deviation of the mean.

7.5 - 1.3 = 6.2

7.5 + 1.3 = 8.8

So in the format requested

(6.2, 8.8).

It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.

Answer: 7: 13

The ratio would be 14: 26, however you are most likely asked to simplify it. Which is why the answer would be 7: 13

I hope this helped! :DD

Answer:

[tex]486yd^2[/tex]

Step-by-step explanation:

Surface area is found by adding all the areas of like shapes.

All of these are the exact same size, so we can just multiply by the number of squares by their area.

So:

[tex]A=6(9)(9)\\A=6(81)\\A=486yd^2[/tex]

Answer:

Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Step-by-step explanation:

Answer:

I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)

Step-by-step explanation:

Expenses for August= 878.65 + 52.50 + 266.67 +  94.52 + 45.03 + 42.65

= $1380.02

Income-Expenses= 3750-1380.02= 2369.98

Answer:

-2

Step-by-step explanation:

Each value is divided by -2 to get to the next term

Answer:-1/2

Step-by-step explanation:

common ratio=(2nd term➗Ist term) or (3rd term➗2nd term)

first term=104

Second term=-52

Common ratio=-52 ➗ 104

Common ratio=-1/2

Answer:volume=125 cm^3

Surface area=150 cm^2

Step-by-step explanation:

Part A:

volume=length x width x height

volume=5 x 5 x 5

Volume=125 cm^3

Part B:

Surface area=6x5x5

Surface area=150 cm^2

Answer:

60

Step-by-step explanation:

Answer:

it is 60

Step-by-step explanation:

Answer:150 branliest

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

360/(5+7)=30

30*5=150

Answer:

x=10

Step-by-step explanation:

x?+10=110

x?=110-10

x?=100

10^2=100

Answer:

The mean will increase, after the outlier is removed.

Answer:7

Step-by-step explanation:

-3-(-8)-(-2)=x

-3+8+2=x

-3+10=x

7=x

x=7

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Answer:

43.96

Step-by-step explanation:

ok so you use the formula: A= 3.14•r•2 next you plug in your values a=3.14•7•2 3.14•7= 28.98•2=43.96

Answer:

43.96

im dying on the question before that one it says "What issues are you having when it comes to area and circumference" you typed nothing really and here you are asking us whats the circles area lol

Step-by-step explanation:

Step-by-step explanation:

wait sorry that was wrong

Answer:

5.2

Step-by-step explanation:

The answer is 5.2 pounds of meat. To find this just divide the number of people by what the information you have about servings. 13/5=2.6(number of sets), then you multiply that by how many pounds are in each set.

Answer:

  0.17

Step-by-step explanation:

The function can be rewritten as ...

  B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)

In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:

  6t = 1

  t = 1/6 ≈ 0.166667 ≈ 0.17

The culture loses half its size every 0.17 seconds.

.17

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we compute [tex]9^n[/tex], for [tex]n = 0,1,2,3,4,5[/tex]

[tex]9^0=1,9^1=9,9^2=81,9^3=729,9^4=6561,9^5=59049[/tex]

We have the unit digit of [tex]9^n[/tex], is either 1 or 9

Therefore, the conjecture can be state as follows

Conjecture; the unit of digit of [tex]9^n[/tex], is 1, when n is even and 9 when n is odd

Let the property p(n) be the formula;

"The unit digit of [tex]9^n[/tex], is 1 when n is even and 9 when n is odd"↔ P(n)

To show p(n) is true , we will use strong mathematical inductive

Show tgat p(0) and p(1) are true

We have  to show the unit digit of [tex]9^0[/tex] is 1 and [tex]9^1[/tex] is 9

Since any integer with zero power is one and hence

[tex]9^0=1[/tex] and [tex]9^1 = 9[/tex]

Therefore, p(0) and p(1) are true

Show that for al integer [tex]k\geq 1[/tex], if  p(i) is true for all integer i from o through k, then p(k+1) is also true

let k be any integer with [tex]k \geq 1[/tex] and suppose that for all integer i with [tex]0 \leq i \leq \leq k[/tex]

the unit digit of [tex]9^i[/tex] is 1 when is even and 9 when n is odd

we must show that [tex]9^{k +1}[/tex] equals 1 when n is even and 9 when n is odd

Case I; (k +1 is odd)

in this case k is even and so, by inductive hypothesis, the unit digit of [tex]9^k[/tex] is 1 and hence there is some non negative integer q such that

[tex]9^k = 10q + 1[/tex]

now, [tex]9^{k+1}=9^k(9)[/tex]

= (10q + 1)9

= 90q + 9

= 10.9q + 9

Note that for any non negative integer q , 9q is also an integer and this implies the unit digit of [tex]9^{k+1}[/tex] is 9

Case II

(k +1 is even)

in this case k is odd and so, by inductive hypothesis, the unit digit of [tex]9^k[/tex] is 9 and hence there is some non negative integer q such that

[tex]9^k=10q+9[/tex]

Now,

[tex]9^{k+1}=9^k.9\\=(10q+9)9\\=90q+81\\=10(9q+8)+1[/tex]

Note that any non negative integer q, 9q + 8 is also an integer and this implies the unit of [tex]9^{k+1}[/tex] is 1

Since we have proved both the basis and the inductive step of the strong mathematical induction, we conclude that the given statement is true

Answer:

$190.08

Step-by-step explanation:

Take 27% of the total $704 spent in July:

0.27($704) = $190.08

He spent an estimated $190.08 on clothing in July.

Answer:

Step-by-step explanation:

I THINK 140

Answer:

28.125 cans

Step-by-step explanation:

Step 1: Determine the Volume of the Pot

Diameter= 15 inches, therefore Radius=15/2=7.5 Inches

Height =10 Inch

Volume of a cylinder =[tex]\pi r^2h[/tex]

Volume of the Pot [tex]=\pi*7.5^2*10=562.5\pi[/tex] cubic inches.

Step 2: Determine the Volume of each can

Diameter= 4 inch, therefore Radius=4/2=2 Inches

Height =5 In.

Volume of a cylinder =[tex]\pi r^2h[/tex]

Volume of one can [tex]=\pi*2^2*5=20\pi[/tex] cubic inches.

Step 3: Divide the Volume of the Pot by the Volume of the can

To obtain the number of cans that will fill the pot, we divide the Volume of the Pot by the Volume of the can.

Volume of the Pot÷Volume of one can

[tex]=562.5\pi \div 20\pi\\=28.125 \:cans[/tex]

Therefore, we conclude that it takes 28.125 cans to fill up the cylindrical pot of soup.

Answer:

30

Step-by-step explanation:

1/3 of 60 is 20

40 would be left

1/4 of 40 is 10 so 30 would be left

Answer:

  17.8 cm³

Step-by-step explanation:

The radius of the roll is half the diameter, so is 9 mm. The length of the roll of 50 dimes is 1.4·50 mm = 70 mm. With these dimensions, we can use the formula for the volume of a cylinder:

   V = πr²h = π(9 mm)²(70 mm) = 5670π mm³ ≈ 17,812.8 mm³

Perhaps a more convenient unit of measure is cm³. Each cm³ is 1000 mm³, so the volume of a roll of dimes is approximately ...

  V ≈ 17.8 cm³

Answer:

DH

Step-by-step explanation:

this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.

Answer:

Ok :] ummmm report me i'm no help.

Step-by-step explanation:

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Answer:

146%

Step-by-step explanation:

[tex] percent~change = \dfrac{new~price - old~price}{old~price} \times 100% [/tex]

If the percent change is positive, it is a percent increase.

If the percent change is negative, it is a percent decrease.

Your numbers are

old price = $0.92

new price = $2.26

Plug in the numbers in the formula above and evaluate the expression.

percent change = ($2.26 - $0.92)/($0.92) * 100%

percent change = ($1.34)/($0.92) * 100%

percent change = 1.4565 * 100%

percent change = 146%

Since the percent change is a positive number, it is a percent increase.

Answer: The percent increase is 146%.