The admission fee to play virtual reality is $12. It cost an additional x dollar to rent virtual reality equipment to play in the games. The total cost for 8 people to play virtual reality with equipment is $400. How much will it cost for one person to rent virtual reality equipment?

If a categorical independent variable contains 4 categories, then four dummy variables will be needed to uniquely represent these categories. a. 1 b. 2 c. 3 d. 4

How many dummy variables are needed to represent the categorical variable?

We need 1 less dummy variable than outcomes for the categorical variable.

categorical variable has 2 outcomes

So, we need 2-1 = 1 dummy variable.

Note: If our categorical variable had 5 outcomes, we would need 5-1 = 4 dummy variables.

b. Write the multiple regression equation relating the dependent variable to the independent variables.

Note: Depending your your professor, this can be written one of the following ways...

yhat = a + b1 x1 + bx2

yhat = b0 + b1 x1 + b2 x2

yhat = beta0hat + beta1hat x1 + betahat2 x2

where x1 is the ratio variable

and x2 is the dummy variable

c. Interpret the meaning of the coefficients in the regression equation.

b0 = the predicted value of y when x1 and x2 both equal 0.

b1 = the change in y when x1 increases by 1 unit holding x2 constant.

b2 = the predicted difference in y between the two possible outcomes of the categorical variable holding x1 constant

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Answer:

I can't well see question but, their ratios aren't the same

Answer:

Step-by-step explanation:

Answer:

b=14

Step-by-step explanation:

b^2=196

Square root both sides

b=14

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Answer:

14

Step-by-step explanation:

You're just looking for the square root of 196, and [tex]\sqrt{196} = 14[/tex]

Answer:

Step-by-step explanation:

a+4/5=11/2

 -4/5.   -4/5

_____.  _____

a= 11/2 *5/5. = 55/10

     -4/5 * 2/2.  -8/10

 ______________

a= 47/10

Answer y=-1/5x+6

Step-by-step explanation:

Rewrite in slop intercept form y=mx+b

5y=10-x

y=2-(x/5)

y=-1/5x+2

Slope = -1/5

Substitute the 2 numbers in the point and solve

y-7=-1/5(x+5)

y=-1/5x+6

Answer:

This exact question has already been answered on the site, but here it is again.

On solving the given  question, we got that -  the polynomial function of lowest degree with rational real coefficients is [tex]= > P(x) = 3x^{2} - 21x + 30[/tex]

Polynomial equations are those created using variables, exponents, and coefficients. The higher exponent, known as the equation's degree, can have a variety of exponents. By factoring polynomials based on the degree and variables in the equation, we can solve them.

We are aware that the lowest degree polynomial function, denoted by p(x), has the following properties:

[tex]= > P(x) = c(x - a)(x - b)\\[/tex]

The leading coefficient is 3, the roots are 5, and the roots are 2, respectively.

Therefore, the lowest degree polynomial with the aforementioned characteristics is:

[tex]= > P(x) = 3(x - 5)(x - 2))\\= > P(x) = 3(x^{2} - 7x + 10)\\= > P(x) = 3x^{2} - 21x + 30\\[/tex]

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Answer:

Step-by-step explanation:

x^2 + y^2 = z^2 is the pythagorean theorem.

If you divide the large triangle into two separate ones, with sides 7, 4 and 0.5y, you can use the pythagorean theorem to figure out 0.5y. So:

7^2 = 4^2 +(0.5y)^2

49-16 = 33

so y=2sqrt(33)

the length of the confidence interval is 12.8

You have a 5% chance of being incorrect with a 95% confidence interval. You have a 10% chance of being incorrect with a 90% confidence interval. A 95% confidence interval is narrower than a 99% confidence interval.

The likely location of the population parameter is shown by a confidence interval. For instance, the population mean is between 9 and 11, according to the 95% confidence interval of the mean [9 11].

​According to the question,

Length of confidence interval = 2*(6.4)

Length of confidence interval = 12.8

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Answer:

612½ pi units² or 1920 units²

The total number of possible legitimate license plate numbers possible are (15)⁵.

The license plate has a length of 7 character for the legitimate license plates.

So, there are a total 7 position, in these positions, on has to be a upper case vowel and one has to be an integer digit.

Now, we have only 5 position are left.

There are only 5 vowels and 10 integers digits.

So, we are assuming that the repetition is allowed because nothing else is mentioned.

So, total possible combinations are 1 x 1 x 15 x 15 x 15 x 15 x 15.

Because repetition is allowed, we don't have to consider the factor of internal arrangement.

So, the total number of legitimate license plates possible are (15)⁵.

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Answer: He spent 3 hours as a cashier and 6 hours as a lifeguard

Step-by-step explanation:

First, you figure out his time as a cashier; 12($ per hour) x 3(hours working) = $36. Then, since it states he spent twice as many hours being a lifeguard, you double his hours when figuring out his time as a lifeguard; 18($ per hour) x 6(hours working) = $108. Add up both of your totals, $108 + $36 = $144.

The potential energy of book at heights 1m, 1.5m and 2m are 5J, 7.5J and 10J respectively.

Given,

weight of book =5

Heights of shelves are 1m, 1.5m and 2m

Potential energy can be determined by using formula, E=m*g*h

where, m*g is weight and h is height

amount of potential energy,

at height=1m

E=5*1=5 J

at height=1.5m

E=5*1.5=7.5J

at height=2m

E=5*2=10J

Thus, the potential energy of book at heights 1m, 1.5m and 2m are 5J, 7.5J and 10J respectively.

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The line segments joining the given points are not parallel.

In order to find the slope of a line, calculate the angle it makes with x axis as a reference. Then its slope can be determined by taking tan ratio of that angle.

Given that,

The first segment is joined from (3, -3) to (3, 9).

And, the second segment is joined from (-5, 12) to (1, 0).

In order for the segments to be parallel, their slope must be equal.

The slopes of both the segments can be found as,

First segment,

Slope = (3 - 3)/(-3 - 9)

          = 0/-12

          = 0

Second segment,

Slope = (-5 - 1)/(12 - 0)

          = -6/12

          = -1/2

Since slopes of the segments are not equal, they are not parallel.

Hence, the given line segments are not parallel.

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Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

1/4 / 3/5

To divide fractions we flip the second one and then multiply them both and this method works for any number

1/4 x5/3

5/12

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The required question of the given problem are solved below.

A distance-time graph shows how far an item has gone in a given time. It is a straightforward line diagram that signifies distance versus time discoveries on the chart. Distance is plotted on the Y-pivot. Time is plotted on the X-pivot.

1) he take 20 minutes to get to his friends house.

2) he stayed 60 - 20 = 40 minutes at his first friends house.

3) he take 70 - 60 = 10 minutes to ride his bike from his first friends house to his second friends house.

4) 30 minutes, he stayed his second friend

Then

Difference = 40 - 30 = 10 minutes

So, he stay 10 minutes longer than first friend.

5) In part E, he is riding towards his home.

6) In part A of the graph he is travelling faster.

7) he went 10 kilometer away from his house.

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Answer:

7.5

Step-by-step explanation:

W -- X -- Y ----- Z

We are given that :

Given this we want to find XZ

XZ consists of XY and YZ so we must find the length of the individual segments.

Finding YZ

Here, we know that YZ = WY as y is the midpoint of WZ. If WY = 5 then YZ also = 5

Finding XY

Given that WY = 5 and that X is a midpoint of WY we know that the segments WX and XY = WY and are congruent.
In other words we can say that 2XY = WY

==> WY = 5

2XY = 5

==> divide both sides by 2

XY = 2.5

Finding XZ

Again, XY + YZ = XZ

We have XY = 2.5 and YZ = 5

Hence, 2.5 + 5 = XZ

XZ = 7.5

Answer:

XZ = 7.5

Step-by-step explanation:

A drawing is sometimes very helpful.

Start by drawing a segment with endpoints W and Z.

   +--------------------------------------------+

   W                                                  Z

Y is the midpoint of WZ. Draw point Y in between W and Z and the same distance from both W and Z.

    +---------------------+--------------------+

   W                        Y                       Z

X is the midpoint of WY. Draw X between W and Y, and the same distance to W and Y.

   +----------+----------+--------------------+

   W          X           Y                       Z

Because of the midpoints, we know that:

WX = XY

WY = YZ

WY = 5

WX and XY are each half of WY, so WX = XY = 5/2 = 2.5

WY = YZ = 5

XZ = XY + YZ

XZ = 2.5 + 5

XZ = 7.5

There is not sufficient evidence to support the power company's claim.

According to the information given in the question, we can frame the hypothesis as follows-

Null hypothesis ⇒ :  H = 10400

Alternate hypothesis ⇒ Ha:  > 10400

This is the right-tailed test.

Test statistic = z

[(x - μ)√n]/ σ

where x ⇒ sample mean = 10,782

σ ⇒ standard deviation = 2768

= (10782 - 10400)√163/ (2768)

= 382* 12.76/(2768)

= 1.76

⇒ Test statistic z = 1.76

Now, P( z > 1.76) = 1 - P( z < 1.76)

= 1 - 0.9608

= 0.0392

using z tables-

p-value = 0.0392

a = 0.01

we see that p-value > a

Thus, we fail to reject our null hypothesis.

Therefore, there is not sufficient evidence to support the  power company's claim.

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Answer:

57671680x^9 y^2

Step-by-step explanation:

using combinatorics

The length of the other leg of the right triangle, rounded to the nearest whole number, is 10 units.

To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the length of the other leg as x. Given that one leg is 6 units long and the hypotenuse is 12 units long, we can set up the equation:

6^2 + x^2 = 12^2

Simplifying this equation, we have:

36 + x^2 = 144

Subtracting 36 from both sides, we get:

x^2 = 108

Taking the square root of both sides, we find:

x = √108

Rounding this value to the nearest whole number, we have:

x ≈ 10.392

The length of the other leg of the right triangle, rounded to the nearest whole number, is 10 units.

The correct option is: 10 units.

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The correct option A.  -3, is the value of constant 't', for which the equation has no real solutions.

For the stated question-

The quadratic equation is given as-

2x² - 4x = t

2x² - 4x - t = 0

The standard from of quadratic equation is-

ax² + bx + c = 0

For no solution;

Discriminant is less than zero.

D < 0

b² - 4ac < 0

Comparing both equations-

b = -4, a = 2 and c = -t

Put value in D.

(-4)² - 4(2)t < 0

Solve the inequality

16 - 8t < 0

t < -2

Thus, the value of constant 't', for which the equation has no real solutions.

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The correct question is-

2x² - 4x = t,In the equation above, t is a constant. If the equation has no real solutions, which of the following could be the value of t ?

A.  -3

B.  -1

C. 1

The annual percentage rate (APR) for this loan is equal to 412.7%.

What is APR?

APR is an abbreviation for annual percentage rate and it can be defined as a measure of an amount of money based on a yearly rate of interest, which a borrower must pay on a loan or credit card.

Mathematically, the annual percentage rate (APR) of a loan can be calculated by using this formula:

APR = [((simple interest/principal)/n) × 365] × 100

Where:

n represents the number of days.

Note: n is equal to 14 days (2 weeks).

Substituting the given parameters into the formula, we have;

APR = [((95/600)/n) × 365] × 100

APR = 0.01130 × 36500

APR = 412.7%.

the answer should be $568

Step-by-step explanation:

Answer:125

Step-by-step explanation:

Answer:

y

+

2

=

3

4

(

x

−

11

)

Explanation:

Point slope form is given by the following formula:

y

−

y

1

=

m

(

x

−

x

1

)

In order to use the point slope formula we need two things:

1. The slope or

m

which in this case is

4

3

2. A point on the graph which we are given

(

−

2

,

11

)

Along with the slope, if we let

(

−

2

,

11

)

→

(

x

1

,

y

1

)

we can substitute all this information into the point-slope formula:

y

−

−

2

=

3

4

(

x

−

11

)

Simplify:

y

+

2

=

3

4

(

x

−

11

)

hope I helped you:)

Answer: 30

Step-by-step explanation:

1 red chip = $10, so 30 red chips = $ 300

1 blue chip = $5, so 20 blue chips = $100

Add the cost of both we get $400, matching our question requirements.

1) The value of x is 30 degree.

2) The value of x is 32.5 degree.

A triangle's opposite angles are also congruent if its two sides are.

Given:

Using Base Angle Theorem

Two Angles are 35 and 35.

Using Angle Sum Property

3x+ 20 +35+ 35 = 180

3x+ 90 = 180

3x = 90

x= 30

Again Using Base Angle Theorem

let the Angles in left triangle are 50, y and y

Using Angle Sum Property

50+ 2y= 180

2y= 130

y= 65

Again Using Angle Sum Property  in Big Triangle

50+x + 65 + x = 180

2x = 65

x= 32.5  degree

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The percentage of his tip compared to the cost of the iced coffee drink is 17.57%.

Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".

To determine the percentage, we must first determine the proportion of the amount of the tip compared to the cost of the drink he purchased by dividing the two values. After that, multiply the answer by 100.

percentage = (amount of the tip/cost of the iced coffee drink) x 100

percentage = ($1/$5.69) x 100

percentage = 0.175747 x 100

percentage = 17.57%

Hence, he tip 17.57% of what he purchased.

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The solution that is "3 times a number is 28 less than the square of that number" in the negative is -4.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video.

Here,

Let the number be n.

3n=n²-28

n²-3n-28=0

n²-7n+4n-28=0

n(n-7)+4(n-7)=0

(n+4)(n-7)=0

n=-4,7

The negative solution to the number that is "3 times a number is 28 less than the square of that number" is -4.

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Answer:

-4 is correct

Step-by-step explanation:

Got it correct on delta 2023