Problem 8-21 (Algorithmic)
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:
Rental Class


Room Super Saver Deluxe Business
Type I $38 $43 —
Type II $16 $28 $45
Type I rooms do not have wireless Internet access and are not available for the Business rental class.
Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 140 rentals in the Super Saver class, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 110 Type I rooms and 110 Type II rooms.
Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.

Answer:

7.5

Step-by-step explanation:

If Circumference = 15 pi, then the diameter is 15 mm, so the radius = 7.5 mm.

Answer:

4.5

Step-by-step explanation:

the square root of 20 is closer to 4.5 than it is to 4.4

Answer:

The conclusion

There is sufficient evidence to conclude that the  the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.

Step-by-step explanation:

From the question we are told that

   The population mean is [tex]\mu = 13 \ hours\ per\ week[/tex]

   The sample size is  n= 16

    The sample  mean is  [tex]\= x = 15.3[/tex]

    The standard deviation is  [tex]s = 3.8\ hours.[/tex]

   The null hypothesis is  [tex]H_o : \mu = 13[/tex]

    The alternative hypothesis is  [tex]H_a : \mu > 13[/tex]

     The level of significance is  [tex]\alpha = 0.05[/tex]

Generally the test statistics is mathematically represented as

      [tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

=>   [tex]t = \frac{15.3 - 13 }{ \frac{ 3.8 }{\sqrt{16} } }[/tex]

=>   [tex]t = 2.42[/tex]

 Generally the p-value is mathematically represented as

      [tex]p-value = P(z > 2.42)[/tex]

From the z -table  

       [tex]P(z > 2.42) = 0.0077603[/tex]

=>   [tex]p-value = 0.0077603[/tex]

From the values obtained we see that  [tex]p-value < \alpha[/tex]

Hence we reject the  null hypothesis

   Therefore there is sufficient evidence to conclude that the  the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.

Answer:

The last option

Step-by-step explanation:

[tex]a^{-4} =\frac{1}{a^{4} }[/tex]

then

[tex]2a^{-4} m^{5}=\frac{2m^{5} }{a^{4} }[/tex]

Hope this helps

Answer:

Both are equal.

Step-by-step explanation:

.5 is a decimal and you get it by dividing 1 by 2, or 1/2.

So 1/2 ultimately means .5.

Answer: Yes

Step-by-step explanation:

x=2 is a vertical line with an undefined slope, and y=5 is a horizontal line with a slope of 0. Since these lines have slopes that are negative reciprocals, they are perpendicular.

Answer:

106.25 mph

Step-by-step explanation:

since the car travels at 85 miles per hour we divide it by 60 seconds in order to find how many miles is it to get in a minute

=> 85mph ÷ 60

divide 85 by 60

=> 1.416

multiply 1.416 by 15 to get how many miles it to go in 15 minutes

=> 21.25

then add it to 85

=> 106.25

Answer:

the third one

Step-by-step explanation:

Answer:

I think the 3rd one

Step-by-step explanation:

Answer:

240°

Step-by-step explanation:

measure of XWZ = 360 - 120 = 240°

The measure of arc wz is 240 degrees.

here, we have,

we know that,

A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.

An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.

Given:

From diagram, m ∠xz = 120 degrees.

We know that whole circle = 360 degrees

So, measure of arc wz = 360 - 120

                                     = 240

Hence, the measure of arc wz is 240 degrees.

Learn more about Major and Minor Arc here:

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[tex]\\ \sf\longmapsto12x+7=10(x+1)-3[/tex]

[tex]\\ \sf\longmapsto 12x+7=10x+10-3[/tex]

[tex]\\ \sf\longmapsto 12x+7=10x+7[/tex]

[tex]\\ \sf\longmapsto 12x=10x[/tex]

[tex]\\ \sf\longmapsto x=10/12=5/6[/tex]

We need natural number

[tex]\\ \sf\longmapsto 12(0)=10(0)[/tex]

Yes 0 is a solution

Answer:

mean= 1588 and Standard deviation=190.99

Step-by-step explanation:

Answer:

-5 and -5.

Step-by-step explanation:

Two negative numbers multiply to make a positive and add to make a negative.

Answer:

15: 10.99

2(3.14)r

3.5/2 = 1.75

2(3.14)1.75

10.99

16: 50.24

2(3.14)8

50.24

17: 260%

2 = 200%

3/5 = 60%

200 + 60 = 260%

Have an amazing day!

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Answer:

The vertex is located at (1,-4)

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

We have the following quadratic equation and we need to express it in vertex form. Thus, we need to complete the squares:

[tex]y=x^2-2x-3[/tex]

Adding and subtracting 1:

[tex]y=x^2-2x+1-3-1[/tex]

The first three terms are the square of a binomial:

[tex]y=(x-1)^2-4[/tex]

Comparing to the vertex form of a quadratic equation, the vertex is at (1,-4).

The vertex is located at (1,-4)

b. There are infinitely many solutions there are infinitely many numbers that are greater than or equal to 4

c. The boundary point for the inequality is at x=4 because any value less would make the inequality not true. The ralationship with the inequality is that it is the only solution that makes the inequality exactly equal to 13

d. (see image) just account for the x direction and ignore the y

A is solved according to you

#b

We have to create a interval notation to find

Let's check

[tex]\\ \rm\rightarrowtail 4x-3\geqslant 13[/tex]

[tex]\\ \rm\rightarrowtail 4x\geqslant 16[/tex]

[tex]\\ \rm\rightarrowtail x\geqslant 4[/tex]

So

[tex]\\ \rm\rightarrowtail x\in [4,\infty)[/tex]

#c

Boundary is when the inequality becomes false

Here its

#d

Attached

Answer:

1000 mph or 1000 miles per hour

Step-by-step explanation:

Speed = Distance/time, 2000miles/2hours=1000 miles per hour or 1000 mph

Answer:

The car will be worth 6,624$ in 3-years

Step-by-step explanation:

Firstly we need to move the decimal two to the left, so the decimal form of 1% is 0.01.

Secondly, we make the equation by plugging in a multiplication sign and the cost of the car. Example - (0.01 x 10,350).

Now, that we have everything in an equation we can multiply 0.01 by 10,350, which will give us what 0.01 percent of 10,350 is, (103.5).

Lastly, we will subtract 103.5 from the cost of the car (10,350) to get the value of the car after the first month. The cost of the car will be $10,246.5. To find the value after the next two years we will repeat these steps...

La fuerza por unidad de longitud del cable recto que lleva es de 7,52 N/m.

La fuerza magnética se refiere a la fuerza que experimenta un cuerpo en el campo magnético.

Tenemos la siguiente información;

Corriente (I) = 9,40 A

Campo magnético = 0,80 T

Dado que;

F = BIL senθ

Tenemos que encontrar la fuerza por unidad de longitud así;

F/L = BIsenθ

F/L = 0,80 T * 9,40 A Sen 90 = 7,52 N/m

Obtenga más información sobre el campo magnético: https://brainly.com/question/19542022

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

The standard form of a line is given by -

[tex]\green{ \underline { \boxed{ \sf{Ax+By=C}}}}[/tex]

where

[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} -1 \\\end{gathered} [/tex]

Arranging equation in standard form -

[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} - \frac{1}{1} \quad (1 = \frac{1}{1})\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} - \frac{1 \times 4}{1 \times 4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} - \frac{4}{4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf y = \frac{-5x-4}{4} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4y = -5x-4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4y +5x =-4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 5x +4y=-4 \\\end{gathered} [/tex]

Comparing with standard form of line -

Thus , 5 is our required answer.

Answer:

C = 56.52 Inch.

Step-by-step explanation:

Formula: C = 2πr

C = 2π (9)

C = 18π

C = 18 (3.14)

C = 56.52 Inches

Answer:

slope=2

Step-by-step explanation:

y-y=m(4-3)

5-3=m(4-3)

2=m(1)

2/1=m

m=2

Answer:

The range consisting of the p-value is, 0.000001 < p-value < 0.00001.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether the percent population growth rate of major cities has decreased compared to the last decade.

The alternative hypothesis is Hₐ: [tex]\mu_{d}<0[/tex].

The test statistic value is, t = -5.053.

The degrees of freedom is, 16.

Compute the p-value as follows:

[tex]p-value=P(t_{16}<-5.053)=0.000059[/tex]

Thus, the range consisting of the p-value is, 0.000001 < p-value < 0.00001.

Answer:

The second option

Step-by-step explanation:

The square root of a function could be smaller than 3, so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0. Therefore, the only possible option is the 2nd one.

Also, if you try to evaluate it in x = 0, which is sqrt(0)-3 = -3, the only option that satisfies that would be the second one.

I hope this helped.

The second option is the graph of y = √x-3.

Here, we have,

The square root of a function could be smaller than 3,

so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0.

Therefore, the only possible option is the 2nd one.

The graph of y = √(x) - 3 represents a square root function that is shifted vertically downward by 3 units.

The square root function itself is a curve that starts at the point (0, 0) and gradually increases as x increases.

By subtracting 3 from the square root function, the entire graph is shifted downward by 3 units.

This means that the new y-values of the graph are 3 units less than the corresponding y-values of the square root function.

Also, if you try to evaluate it in x = 0, which is √(0)-3 = -3,

the only option that satisfies that would be the second one.

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Answer:

53 miles

Step-by-step explanation:

80 miles per hour

x miles per 45 minutes

So, we know that an hour is 60 minutes so lets change the hour to that.

80 miles per 60 minutes

x miles per 45 minutes

Now, we do cross-multiplication:

[tex]\frac{x}{45}[/tex]  [tex]\frac{80}{60}[/tex]

So, we multiply 80 by 45 which is 3200. Then, we divide 3200 by 60 which is 53.3. So, the train travels 53.3 miles in 45 minutes.

But to round it, it would be 53 miles.

Hope this helps

The number of miles traveled by train in 45 minutes will be 60 miles.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The speed of the train is 80 miles per hour. Then the number of miles in 45 minutes is calculated as,

80 = D / (45 / 60)

D = 80 x 45 / 60

D = 60 miles

The number of miles traveled by train in 45 minutes will be 60 miles.

More about the speed link is given below.

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Soln

here

weight = 30 kg

Force = weight × 10

= 30×10

= 300

Area = cm

= 100/100

= 1

now,

Pressure = Force/Area

= 300/1

= 300 pa.

Answer:

Step-by-step explanation:

I am assuming that i = √(-1)

3i*2i*(m + i)

= 6i^2(m + i)

= -6(m+ i)

= -6m - 6i.