Solve the inequality.Graph the solution on the number line. ( I need help graphing the answer because I already have the answer which is x > 5 or equal to 5)

Answer:

\(=12\sqrt{15} -40\sqrt{5}\\\)

Step-by-step explanation:

\((2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )\)

\(=6\sqrt{60} -10\sqrt{80}\)

\(=6\sqrt{4(15)} -10\sqrt{16(5)}\)

\(=6(2)\sqrt{15} -10(4)\sqrt{5}\)

\(=12\sqrt{15} -40\sqrt{5}\)

Hope this helps

The system of two equations can be represented as y = 10x + 40 and

y = 12x + 28.

The system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution if a system of equations only has two linear equations with two variables.

Because there are only three possible methods to graph two straight lines in the plane, there are only three matching forms of solution for a given system of equations.

Let, 'x' represent the number of days and 'y' represent the total cost.

Plan A can be represented as y = 10x + 40.

And, PlanB be can be represented as y = 12x + 28.

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Answer:

7+n

Step-by-step explanation:

More indicates that we are adding an amount to n.

So since it is 7 more, we need to add 7 to n.

Note that an expression does not include an equal sign, so we are done.

Other commonly seen phrases are:

less than ->  indicates subtraction

product of -> indicates multiplication

divided by -> division

Answer:

You get to keep $615.

Step-by-step explanation:

We need to know what 18% of $750 is

18% is the same as 0.18

0.18 times 750 = 135

Subtract 135 from 750 to see how much you get to keep

750 - 135 = 615

Your parents take $135, and you get to keep $615.

The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

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Step-by-step explanation:

yes friend and your answe is wring

a) Relative Frequency of class D is equals to 0.2..

b) Frequency of class D is equals to the 40.

c) Frequency distribution of classes is third column of above table.

d) The percent frequency distribution for classes is fourth column of above table in figure.

A relative frequency distribution is one important type of frequency distribution. Relative frequency calculated by the number of times an event occurs divided by the total number of events occurring in a scenario. We have, a table consists relative frequency for three classes A,B and C and we have to calculate the relative frequency for class D. Total sum of all relative frequencies for values = 1

a) So, relative frequency for class D = 1 - relative frequencies for A,B and C

= 1 - 0.24 - 0.16 - 0.4

= 1 - 0. 8 = 0.2

b) Sample size, n = 200 i.e.,

Possible frequency value = 200 .

Frequency of class D = 200× 0.2 = 40

c)

Relative frequency = frequency/ total frquency

=> Frequency of a value = relative frequency × n = 0.24 × 200 = 48

Frequency of class B = 0.16 × 200 = 32

Frequency of class C = 0.4 × 200 = 80

Frequency of class D = 0.2 × 200 = 40

Frequency distribution table present above.

d) Now, the percent frequency distribution .

percent frequency= relative frequency × 100

So, percent frequency of class A

= 0.24 × 100 = 24%

Percent frequency of class B = 0.16 × 100

= 16%

Percent frequency of class C = 0.4 × 100

= 40%

Percent frequency of class D = 0.2 ×100

= 20%

Thus, all required values are present in above table in figure.

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Complete question:

A partial relative frequency distribution is given. class relative frequency

A 0.24

B 0.16

C 0.40

D ?

a) what is the relative frequency of class D?

.2 correct: your answer is correct.

(b) the total sample size is 200. what is the frequency of class D?

40 correct: your answer is correct.

(c) show the frequency distribution.

class frequency a 48 correct: your answer is correct. b 32 correct: your answer is correct. c 80 correct: your answer is correct. d 40 correct: your answer is correct. total 200 correct: your answer is correct.

(d) show the percent frequency distribution. class percent frequency a .24 incorrect: your answer is incorrect. b .16 incorrect: your answer is incorrect. c .4 incorrect: your answer is incorrect. d .2 incorrect: your answer is incorrect. total 1 incorrect: your answer is incorrect.

Answer:

A

Step-by-step explanation:

the point is closer to that number.

Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

\((4 + 6i)^2 = 4^2 + 24i + 24i + (6i)^2\\= 4^2 + 48i + 36i^2\\= 16 + 48i + 36(-1)\\= 16 + 48i - 36\\= 48i - 20 = 4(12i - 5)\)

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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First, we'll have to find the radius.

\(\large\boxed{\bold{r= \frac{d}{2}}}\)

\(r= \frac {6}{2}\)

\(r= 3 \ cm\)

Now, we can workout the volume.

Instead of π, we are asked to use 3.

\(\large\boxed{\bold{\red \pi \red = \ \red 3}}\)

\(\large\boxed{\bold{V= \ \frac{4}{3} \pi {r}^{3}}}\)

Now, substitute the values according to the formula.

\(V= \ \frac{4}{3} × 3 × {3}^{3}\)

\(\large\boxed{\bold{V= \ 108 \ {cm}^{3}}}\)

The answer is a whole number so you won't have to round off.

Therefore, the volume of the given sphere is 108 cubic centimeters.

Answer:

620

Explanation:

When the sample is given, the number of elk are likely to be infected is to be considered as the 620.

Calculation of the number of elk:

Since the population is 7,750.

The random sample is 50.

So here be like

= 620

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 620.

Answer:

A rotation is a transformation that turns a figure about a fixed point called the center of rotation

Step-by-step explanation:

Answer:

A rotation means a figure is turning around a center (fixed point). A figure turns with a fixed point (center of rotation). The figures may be turned in different directions. The figure and the rotation are the same size and shape. The distance from the center to a point on the shape stays the same. Rotations may be clockwise or counterclockwise. The concept orginates from geometry.

The number of cattle would be 136,000 and the comparable ratio would be 4/10.

When we compare two ratios, they are said to be equivalent.

To determine whether two or more ratios are equivalent, they can be compared to one another.

For instance, ratios 1:2 and 2:4 are equivalent.

Equivalent ratios are two ratios with the same value.

By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.

Finding equivalent fractions follows the same procedure.

So, an equivalent ratio is required by the question.

This refers to a fraction that is equal to 2/5 of the fraction between 700 and 799.

We multiply the numerator and denominator by the same amount to produce an equivalent fraction.

When we divide both by 2, we get:

(2*2)/(5*2) = 4/10

While working with thousands, tenths are helpful since subtracting a zero when taking a tenth makes it usable.

As a result, 1/10 would equal 34000, and 4/10 would equal four times that: 4(34000) = 136000.

Therefore, the number of cattle would be 136,000 and the comparable ratio would be 4/10.

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Complete question:

There were about 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were between 700- 799 pounds. How many of the 340,000 cattle placed on feed were between 700-799 pounds?

Weight Group. Fraction of total cattle

less than 600. 1\5

pounds.

600-699. 11/50

700-799. 2\5

800. 9\20

Step-by-step explanation:

step 1. wow! lots of questions. heres the first one.

step 2. slope = m = (y2 - y1)/(x2 - x1) = (5-2)/(1-0) = 3/1 = 3. the slope is 3.

Answer:

A= $6.10

Step-by-step explanation:

1 book = $2.50

4 books = $10.00

1 bookmark = $1.95

2 bookmarks = $3.90

3.90 + 10.00 = $13.90

20.00 - 13.90 = $6.10

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Complete question :

A company rents out 15 food booths and 20 game booth at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.

Answer:

4300 + 260d

Step-by-step explanation:

Given that :

Earning from Food booth cost :

Number of booth * cost

15(200 + 8d)

3000 + 120d

Earning from Game booth :

Number of booths * cost

20(65 + 7d)

1300 + 140d

Total sum :

Total earning from game booth and food booth

3000 + 120d + 1300 + 140d

3000 + 1300 + 120d + 140d

4300 + 260d

Answer:

8 feet

Step-by-step explanation:

you have to calculate :(19+2x)(6+2x)=770

you will get X1=8,X2= negetive some value but measurement cant be negative .if you put X=8 you'll find LHS=RHS

Answer:

\(x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}\)  or  \(x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}\)

Step-by-step explanation:

So first you need to find the area of the swimming pool:

19*6 = 114

Next you add the area of the swimming pool and the area of the walkway:

114 + 770 = 884

After this you solve for x using this equation:

(19 +2x) * (6 + 2x) = 884

This would normally find the area of the whole swimming pool area and the walkway but because we know that we can use it to solve for x.

The step-by-step is this:

\(4x^{2} +50x+114=884\)

\(4x^2+50x+114-884=884-884\)

 \(4x^2+50x+114-884=0\)

Now we'll use the quadratic formula to simplify it farther:

\(x= \frac{-(50) + \sqrt{(50)^2-4(4)(-770)} }{2(4)}\)

\(x=\frac{-50 + or - \sqrt{14820} }{8}\)

\(x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}\) or \(x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}\)

Answer:

34.54cm

Step-by-step explanation:

Perimeter of a semicircle is

\(\pi \: d \div 2\)

\(p = 3.14 \times 22 \div 2\)

\(p = 3.14 \times 11 \\ p = 34.54cm\)

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The combination of X and Y that yields the optimum solution for the given linear programming (LP) problem is option b. (5,6).

In linear programming, the objective is to maximize or minimize a linear function subject to a set of constraints. In this problem, we have two constraints: 30X + 10Y >= 300 and 21X + 7Y >= 147. The objective function is to maximize 15X + 12Y.

To find the optimum solution, we need to graph the feasible region defined by the constraints and identify the corner points. These corner points represent the potential solutions.

By solving the equations for the constraints, we find the following corner points: (0,30), (5,6), and (14,0). Plugging these points into the objective function, we obtain the following values:

- (0,30): 15(0) + 12(30) = 360

- (5,6): 15(5) + 12(6) = 135 + 72 = 207

- (14,0): 15(14) + 12(0) = 210

Among these corner points, the combination (5,6) yields the highest value of 207. Therefore, option b. (5,6) is the solution that maximizes the objective function and satisfies all the constraints.

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Answer:

Answer:

a = - 1.1

Step-by-step explanation:

Condition for a single variable function f(x) to be decreasing is f'(x) < 0.

So, in our case, .

Then, differentiating with respect to x on both sides we get,

⇒

⇒

{Dividing both sides with - 1 and hence the inequality sign changes}

⇒

⇒ 8 > - 6x³ {Multiplying both sides with x³}

⇒ 6x³ > - 8 {Interchanging the sides}

⇒

⇒ x > - 1.1

Therefore, a = - 1.1. (Answer)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

EDG2021  

After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.

The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.

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Answer:

Properties of Dilation

Dilations in Animation

\(\color{yellow}{}\)

The standard deviation of the total sales per day for the shoe store is approximately $1743.28.

To find the standard deviation of the total sales per day for the shoe store, we need to first find the mean and variance of the total sales.

The number of customers visiting the store follows a Poisson distribution with a rate of 70 per day. Let X be the number of customers per day, then X ~ Poisson(70).

The proportion of customers that make a purchase is 45%. Let Y be the number of customers that make a purchase, then Y ~ Binomial(X, 0.45).

The amount spent by a paying customer follows an exponential distribution with a mean of $120. Let Z be the amount spent by a paying customer, then Z ~ Exp(1/120).

Now, let's find the mean and variance of the total sales per day.

E[XY] = E[E[XY|X]] = E[X * 0.45] = 70 * 0.45 = 31.5

E[Z] = 120

E[XYZ] = E[E[XYZ|XY]] = E[XY * 120] = 31.5 * 120 = 3780

Var(XY) = E[Var(XY|X)] + Var(E[XY|X]) = E[X * 0.45 * 0.55] + Var(X * 0.45) = 70 * 0.45 * 0.55 + 70 * 0.45 * 0.55 = 17.325

Var(Z) = 120^2

Var(XYZ) = E[Var(XYZ|XY)] + Var(E[XYZ|XY]) = E[XY * 120^2] + Var(XY * 120) = 31.5 * 120^2 + 17.325 * 120^2 = 3035250

Therefore, the variance of the total sales per day is Var(XYZ) = 3035250.

The standard deviation of the total sales per day is the square root of the variance:

SD(XYZ) = sqrt(3035250) = 1743.28

Therefore, the standard deviation of the total sales per day for the shoe store is approximately $1743.28.

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Answer:

B. -6

Step-by-step explanation:

;-;

Answer:

-6

Step-by-step explanation:

1) The most interesting aspect was the application of quantitative methods in accounting and finance.

2) The most difficult part was understanding complex statistical concepts and calculations.

In the lectures, the application of quantitative methods in accounting and finance was particularly fascinating. It shed light on how statistical techniques and mathematical models can be employed to analyze financial data, identify patterns, and make informed predictions. This knowledge has significant implications for financial decision-making processes in various sectors.

However, the complex statistical concepts and calculations presented a challenge. Understanding concepts such as regression analysis, time series analysis, and hypothesis testing required careful attention and further study. Nevertheless, by persevering through the difficulties, a deeper comprehension of these quantitative methods can be achieved.

The takeaways from the unit on quantitative methods for accounting and finance are manifold. Firstly, it equips individuals with a solid foundation in quantitative analysis, enabling them to better comprehend and interpret financial data. This empowers professionals in the field to make informed decisions based on evidence and analysis.

Secondly, the unit enhances analytical skills by introducing various statistical techniques and models, enabling individuals to extract valuable insights from financial data. Lastly, the knowledge gained from this unit allows individuals to contribute more effectively to financial planning, risk assessment, and strategic decision-making within organizations.

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Answer: On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the right of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the right of the line is shaded.

Step-by-step explanation:

x = # of stools = 20

y = # of recliners = 50-20 = 30

Answer:

On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the right of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.