Suppose
X1
is a numerical variable and
X2
is a dummy variable with two categories and the regression equation for a sample of
nequals=1919
is
ModifyingAbove Upper Y with caret Subscript iYiequals=77plus+33X1iplus+22X2i.
a.
Interpret the regression coefficient associated with variable
X1.
b.
Interpret the regression coefficient associated with variable
X2.
c.
Suppose that the
tSTAT
test statistic for testing the contribution of variable
X2
is
3.213.21.
At the
0.100.10
level of​ significance, is there evidence that variable
X2
makes a significant contribution to the​ model?
Interpret the regression coefficient associated with variable
X1.
Holding constant the effect of
▼
Upper X 2 commaX2,
Upper X 1 commaX1,
for each increase of one unit in
▼
Upper X 2 commaX2,
Upper X 1 commaX1,
the predicted mean value of Y
▼
increases
decreases
by a positive change of nothing unit left parenthesis s right parenthesis . unit(s).

Answer:

Disks = $4 each and Notebooks = $7 each

Step-by-step explanation:

-4(2D + 3N = 29)

3(5D + 4N = 48)

-8D - 12N = -116

15D + 12N = 144

7D = 28

D = $4

2(4) + 3N = 29

8 + 3N = 29

3N = 21

N = $7

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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Answer:

Actually, your equation represents something that doesn`t vary...

Step-by-step explanation:

Well, this equation represents a CONSTANT. Basically, regardless to the real

x

value you may choose

y

will always be

3

and never change...

Graphically:

graph{0x+3 [-10, 10, -5, 5]}

Answer:

A is the answer. ( -5 , 3 ) ∪ ( 3 , ∞ )

Step-by-step explanation:

given f(x) = \(\frac{1}{x-3}\) , g(x) = √x+5

asked to find fg(x)

f(√x+5)

√\(\frac{1}{x-3}\)+5

\(\begin{bmatrix}\mathrm{Solution:}\:&\:x>3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(3,\:\infty \:\right)\end{bmatrix}\)

Answer:

the answer is a

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

13 - [(3² x 4) - 30]

13 - [(9 x 4) - 30]

13 - (36 - 30)

13-6

7

Answer:

7

Step-by-step explanation:

I think the answer you're looking for is 7

Adding numbers on a number line means finding the end point when starting from a given number and moving a certain distance to the left or right.

To add a positive number, you move to the right; to add a negative number, you move to the left. The end point will be the result of the addition.

For example, to find the result of -17 + 3, you start from -17 on the number line and move 3 units to the right to find -14, which is the result of the addition.

Note that an overview was given as your information is incomplete.

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the term coplanar means that the points lie on the SAME PLANE

the term collineal means that the points lie on the same line

if you look the image, you will see the points S,T and Q do not share neither the plane nor the same line.so

Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

Answer:

The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:

A. 0.5 hours

C. $1.25 per car

D. $3.05 per gallon

F. 35 miles per gallon

H. 54 miles per hour

Step-by-step explanation:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Distance travelled per gallon in the city = 27 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Joey's average speed using the city street route = 36 miles per hour

Number of hours to get to work using the city street route = 1 hour

Relevant data for highway driving total costs:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60

Answer:

A, B, D, F, H

Step-by-step explanation:

Answer: The cost of both services is equal when h = 2 hours.

Step-by-step explanation: The shared point on the table is when the cost of the two services is equal, i.e. when C1 = C2, where C1 is the cost of Five Seconds of Summer's service and C2 is the cost of Fall Out Boy's service.

To graphically solve the system, we can plot the two equations on the same coordinate plane. The x-axis represents the number of hours and the y-axis represents the cost. The equation for Five Seconds of Summer's service would be y = 5 + 5x and the equation for Fall Out Boy's service would be y = 9 + 3x

We can then find the point of intersection of the two lines, which represents the point at which the cost of the two services is equal. We can label this point as (x, y) and our solution.

To solve the system algebraically using substitution, we can set C1 = C2 and solve for the number of hours (h) in terms of cost.

C1 = 5 + 5h = C2 = 9 + 3h

5 + 5h = 9 + 3h

2h = 4

h = 2

So, the cost of both services is equal when h = 2 hours.

From the above result, it is clear that Fall Out Boy's service is cheaper than Five Seconds of Summer's service. For 2 hours of tutoring, the cost of Fall Out Boy's service is $9 + 3(2) = $15 and the cost of Five Seconds of Summer's service is $5 + 5(2) = $15.

However, there could be scenarios where one service is cheaper than the other depending on the number of hours of tutoring required. For example, if a student requires more than 4 hours of tutoring, Five Seconds of Summer's service would be cheaper. And if a student requires less than 2 hours of tutoring, Fall Out Boy's service would be cheaper.

In conclusion, the best option would depend on the number of hours of tutoring required, and it is best to check both options and compare the cost before making a decision

Answer:

To compare the costs of the two tutoring services, we can set up a system of equations. Let x be the number of hours of tutoring.

Five Seconds of Summer's tutoring service:

y = 5 + 5x (base charge of $5 and $5 per hour)

Fall Out Boy's tutoring service:

y = 9 + 3x (base fee of $9 and $3 per hour)

We can make a table to compare the costs of the two services at different number of hours:

Hours (x) Five Seconds of Summer (y) Fall Out Boy (y)

0                                 5                          9

1                                 10                         12

2                                 15                         15

3                                 20                         18

4                                      25                         21

The shared point in the table is when x = 0, y = 5 for Five Seconds of Summer's tutoring service and y = 9 for Fall Out Boy's tutoring service.

We can graph the two equations to compare the costs:

[Graph would be here if I were able to create one]

From the graph we can see that for any number of hours greater than 0, Five Seconds of Summer's tutoring service is cheaper.

We can also solve the system algebraically using substitution.

y

Answer:

822 × 5 + 2

Step-by-step explanation:

Given that:

4112 ÷ 5 = \(\frac{4112}{5}\)

             = 822 remainder 2

To check if the answer is correct, we can write that;

\(\frac{4112}{5}\) = 822 remainder 2

4112 = 5 x  822 remainder 2

       = 5 x  822 + 2

       = 822 x 5 + 2

4112 = 4112

Thus,the correct process of checking the answer is 822 x 5 + 2.

The scatter plot D accurately reflects the data in the table.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

The input and output variables for this problem are given as follows:

Hence the points are:

(6, 43), (6, 49), ..., (11, 54).

Hence the scatter plot D accurately reflects the data in the table.

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Answer:

f(g(3) = 1

Step-by-step explanation:

f(g(3)

Step one: Plug in 3 for X

g(x)= 2x - 5  ->  g(3) = 2 * 3 - 5

Step two : Solve ( By Using PEMDAS)

g(3) = 6 -5

g(3) = 1

The solution is,  the domain is: x ∈ (-∞, ∞).

Here, we have,

When we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here,

so the domain is:

x ∈ (-∞, ∞)

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complete question:

Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat

Answer:

6.03, 4, 10.03

Step-by-step explanation:

The definition of an integer is an a whole number that's not a fraction. None of these numbers are fractions, therefore they are integers. The answer is all of them :)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

w = 8 ft

l = 15 ft

total area (paint) = ?

Step 02:

rectangle area

A = l * w

A1 = 15 ft * 8 ft = 120 ft²

circle area

A = π r²

half circle area

A = (π r²) / 2

A2 = (π * (4ft)²) / 2

A2 = 25.13 ft²

total area = A1 + A2 = 120 ft² + 25.13 ft² = 145.13 ft²

The answer is:

They will used 145.13ft² of paint.

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

Given:

The three equations for the three numbers are

\(a=x^2-y^2\)

\(b=2xy\)

\(c=x^2+y^2\)

To find:

The Pythagorean triple generated by using 4 for x and 1 for y.

Solution:

Substituting x=4 and and y=1 in the given equations, we get

\(a=4^2-1^2\)

\(a=16-1\)

\(a=15\)

In the same way find b and c.

\(b=2(4)(1)\)

\(b=8\)

The third number is

\(c=4^2+1^2\)

\(c=16+1\)

\(c=17\)

The required Pythagorean triple is 8, 15, and 17.

Therefore, the correct option is C.

Answer:

m +m+m is equal to M3. hope it helps

Answer:

m.m.m

Step-by-step explanation:

I'm going to assume m3 signifies m³. If this be the case, then;

where as

but

Answer:

its 20 inches

Step-by-step explanation:

Answer:

26 inches

Step-by-step explanation:

To the nearest inch, the diameter of the tire is 26 inches.

The bike traveled 136 feet in 20 revolutions.  First we want to convert this to inches.  

136 ft * 12 in/ft = 1632 inches.

Next we find how many inches it travels in 1 revolution:

1632/20 = 81.6 inches

The distance around the tire is called the circumference, and the formula for circumference is  

C=πd

Our circumference is 81.6 and π is 3.14:

81.6 = 3.14d

Divide both sides by 3.14:

81.6/3.14 = 3.14d/3.14

26 = d

Hope this helped!!!!

In this Venn  diagram, the number 30 appears in the overlapping region of the circles, and the number 35 appears outside of both circles.

Let's use T to represent the set of people who like tea, M to represent the set of people who like milk, and U to represent the universal set of all 180 people. We know that:

|T| = 95 (the number of people who like tea)

|M| = 80 (the number of people who like milk)

|T ∪ M| = 180 - |T ∩ M| = 180 - 35 = 145 (the number of people who like either tea or milk)

To find the number of people who like both tea and milk, we can use the formula:

|T ∩ M| = |T| + |M| - |T ∪ M|

Substituting in the values we know, we get:

|T ∩ M| = 95 + 80 - 145 = 30

Therefore, 30 people like both tea and milk.

To represent this information in a Venn diagram, we can draw two overlapping circles to represent the sets T and M. The circle for T should contain 95 elements, and the circle for M should contain 80 elements. The overlap region between the circles should contain 30 elements. The region outside of both circles should contain 35 elements, since 35 people do not like either tea or milk. The Venn diagram would look like this:

         _______________

        /               \

       /                 \

      /         T         \

      \                   /

       \_________________/

              |

              |     30

              |

       ______/ \______

      /               \

     /                 \

    /         M         \

    \                   /

     \_________________/

In this diagram, the number 30 appears in the overlapping region of the circles, and the number 35 appears outside of both circles.

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The next three terms in the sequence are  -1/16, 1/32, -1/64

The correct option is option C)

What is a sequence?

A sequence is an set of values separated by commas Referring to a generalized rule. They have a relation among them. One of the common sequences are arithmetic progression

We are given a sequence of -1, 1/2, -1/4, 1/8,

We have to describe the next three terms of the sequence

If we notice closely the given sequence is an geometric sequence

Hence they have a common factor known as common ratio

in it we divide a term by its previous term

Hence

Ratio= (1/2)/-1

Ratio = -1/2

Now to find the next terms we multiply this with the last term we get

1/8*-1/2= -1/16

Now Hence the next three terms are -1/16, 1/32, -1/64

The correct option is option c)

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Answer:

10.75 , 10 (6/24),13/20,-10(6/25)

Answer:

5 meters

Step-by-step explanation:

Answer:

Hello your question is incomplete attached below is the complete question

answer: RS = ST ( option b )

Step-by-step explanation:

First we consider Δ SCA and Δ TCB

∠ SCA  = ∠ TCB  ,  ∠CAS = ∠CBT = 90°

if we assume  RS = ST then ΔSRT will be termed an Isosceles triangle with its legs : SR = ST. also vertex S bisects the base of the triangle.

Δ SBR ≅ ΔSBT  from here we can deduce that ; BR = BT

From the assumptions what is actually missing to contrast the proof is : RS = ST