find x if the mean of 30,x,12,40 and 10 is equal to x​

The units for the cost and the income of doing the jobs are C(x) = 900 + 215x and I(x) = 305x

Let's use the variable "x" to represent the number of jobs done.

The cost of doing x jobs can be calculated as

Cost = 360 + 540 + (70 + 145) * x

Cost = 900 + 215x

C(x) = 900 + 215x

The income from doing x jobs can be calculated as

Income = 305x

I(x) = 305x

If Howard completes six jobs, the cost will be:

C(6) = 900 + 215(6) = 2190

The income from completing six jobs will be:

Income = 305(6) = 1830

Here, we have

C(x) = 4125

So, we have

900 + 215x = 4,125

215x = 3225

x = 15

So, Howard could do 15 jobs if the cost was $4,125.

This means that

305x = 5185

So, we have

x = 17

The number of jobs is 17

This means that

305x = 900 + 215x

So, we have

90x = 900

This gives

x = 10

The number of jobs is 10

See attachment for the graph

Read more about linear function at

https://brainly.com/question/15602982

#SPJ1

The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

Learn more about variable here:

https://brainly.com/question/28248724

#SPJ11

The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

To learn more about Sales manager visit here:

brainly.com/question/30785075

#SPJ4

Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

Answer:13

Step-by-step explanation:

because when you

Answer:

I am pretty sure they are both true! If not please correct me.

Step-by-step explanation:

Answer:

\(x = \sqrt{2} - 8\\x = -\sqrt{2} - 8\)

Step-by-step explanation:

To complete the square, we first have to get our equation into \(ax^2 + bx = c\) form.

First we add 16x to both sides:

\(x^2 + 16x + 62 = 0\)

And now we subtract 62 from both sides.

\(x^2 + 16x = -62\)

We now have to add \((\frac{b}{2})^2\) to both sides of the equation. b is 16, so this value becomes \((16\div2)^2 = 8^2 = 64\).

\(x^2 + 16x + 64 = -62+64\)

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because \(8\cdot8=64\) and \(8+8=16\).

\((x+8)^2 = -62 + 64\)

We can now take the square root of both sides.

\(x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}\)

We can now isolate x on one side by subtracting 8 from both sides.

\(x = \pm\sqrt{2} - 8\)

So our solutions are

\(x = \sqrt{2} - 8\\x = -\sqrt{2} - 8\)

Hope this helped!

Answer:

x - 36 ≥ 24

Ms. Estrada will bake at least 60 cookies

Step-by-step explanation:

The three true statements regarding the linear regression model represented by the equation are : A, D and E

Given the expression y = 273x + 4500

Comparing to a linear regression model ;

Therefore, the only true statements from the given options are A, D and E

Learn more :https://brainly.com/question/18405415

Answer:

Step-by-step explanation:

2x and x are on a straight line, 180°, but a 90° "slice" should be removed because it has an opposite 90° angle,

Therefore

2x + x = 180 - 90

3x = 90

x = 90 : 3

x = 30°

Answer:

none

Step-by-step explanation:

none because 2/8  is 1/4 and you gave 3/4 to your friend so none

Answer:

T = - 3.2e + 80

Step-by-step explanation:

Given the following :

e = elevation in thousands of feets

T = temperature (°F)

e1 = 5 ; e2 = 10 (in thousands of feet)

T1 = 64° ; T2 = 48°

y = mx + c ; T = me + c

y = ; m = slope, c = intercept

64 = m5 + c - - - - (1)

48 = m10 + c - - - - (2)

From (1)

c = 64 - m5

Substitute c = 64 - m5 into (2)

48 = m10 + c - - - - (2)

48 = m10 + 64 - m5

48 - 64 = 10m - 5m

-16 = 5m

m = - 16 / 5

m = - 3.2

Substitute the value of m into c = 64 - m5

c = 64 - 5(-3.2)

c = 64 - (-16)

c = 64 + 16

c = 80

Inserting our c and m values into T = me + c

T = - 3.2e + 80

Where e is in thousands of feet

T is in °F

The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

To learn more about mean, median, and mode,

https://brainly.com/question/15323584

#SPJ4

Rhode Island has a smaller population.

Here,

According to the 2010 census, the population of Nebraska was 1.8 × 106 people.

We have to find the smaller population.

What is Product?

The multiply of two or more number is called Product.

Now,

The population of Nebraska was 1.8 × 106 people.

1.8 x 106 = 190.8

And,

The population of California = 3.7 x 107 = 395.9

The population of Rhode Island = 1.1 x 106 = 116.6

The population of Texas = 2.5 x 107 = 267.5

The population of Missouri = 6 x 106 = 636

Hence, Rhode Island has a smaller population.

Learn more about the product visit:

https://brainly.com/question/26090574

#SPJ1

Answer:

Franklin will be able to fill 4 mugs.

Step-by-step explanation:

We Know

Franklin made 2 2/5 quarts of hot chocolate.

2 2/5 = 12/5 = 2.4

Each mug holds 3/5 of a quart.

3/5 = 0.6

How many mugs will Franklin be able to fill?

We Take

2.4 ÷ 0.6 = 4 mugs

So, Franklin will be able to fill 4 mugs.

Answer: Cost of a side dish = $ 7

Cost of a roll = $1

Cost of prime rib = $21

Step-by-step explanation:

Let x = cost of a side dish , y= cost of a roll

Then, cost of a prime rib = 3x

Jackie's meal : prime rib, 2 side dishes, and a roll, it came to $36

i.e. 3x+2x +y = 36

⇒ 5x+y=36   (i)

Ted's meal : prime rib, 3 side dishes, and 2 rolls, it came to $44.

i.e. 3x+3x +2y = 44

⇒6x+2y=44

⇒ 3x+ y= 22   (ii)  [divide both sides by 2]

Subtract (ii) from (i), we get

2x= 14

⇒ x=7               [divide both sides by 2]

Put x=7 in (ii), 3(7)+y=22

⇒ 21+y=22

⇒  y =22-21

⇒ y= 1

So, cost of a side dish = $ 7

cost of a roll = $1

cost of prime rib = 3x $7 = $21

5 Trumpets

10 Trumpets

8 Trombones

6 Trombones for 15 Trumpets

To determine which of the two graphs (Boxplot and Histogram) shows an outlier in the distribution of the quantitative variable, we need to understand the characteristics of outliers in each type of graph.

An outlier is a data point that significantly deviates from the rest of the data in a distribution. Here's how outliers are represented in Boxplots and Histograms:

a) Boxplot only: If an outlier exists in the distribution, it will be shown as a separate data point outside the whiskers (the lines extending from the box) in the Boxplot. The Boxplot provides a visual representation of the quartiles and any outliers present.

b) Both Histogram and Boxplot: If an outlier exists in the distribution, it may be evident in both the Histogram and the Boxplot. The Histogram shows the frequency or count of data points in each bin or interval, and an outlier can be observed as an extreme value far from the majority of the data. In addition, the Boxplot will display the outlier as mentioned above.

c) Neither: If there are no outliers in the distribution, neither the Histogram nor the Boxplot will show any data points or indicators outside the expected range. The data points will be distributed within the usual range of the distribution, and no extreme values will be present.

d) Histogram only: In some cases, an outlier may be noticeable in the Histogram but not explicitly shown as a separate data point in the Boxplot. This can happen when the outlier is not extreme enough to be considered as an outlier based on the specific criteria used to determine outliers in the Boxplot.

Without examining the actual graphs or having specific information about the data, it is not possible to determine with certainty which option (a, b, c, or d) is correct. To make a definitive determination, you would need to analyze the graphs and assess the presence of extreme values that deviate significantly from the majority of the data.

Learn more about Boxplot and Histogram at https://brainly.com/question/33001489

#SPJ11

We have to make a 170 gallons mixture of antifreeze with a 40% antifreeze percentage.

We have to made it mixing products from two brands:

• First brand (F): 35% pure antifreeze

• Second brand (S): 85% pure antifreeze.

NOTE: To work with percentage and perform calculations, it is better to express the percentages in decimal form. We can do this by dividing the percentage by 100. Then, for example, 35% will become 0.35.

We will call F to the volume for the first brand and S to the volume of the second brand.

We know that the total mixture volume is 170 gallons. The volume is made of the mixture fo the volume of the first brand and the volume of the second brand. Then, this total volume is equal to the sum of F and S, so we can write:

We need another equation to have a complete system of equations (two equations for two unknowns).

We can use the antifreeze content to write one.

We know the the mixture has to have 40% pure antifreeze. Then, the volume of antifreeze will be 40% of the total volume of 170 gallons.

This volume of antifreeze will come from 35% of the volume of the first brand and 85% of the volume of the second brand.

Then, we can write:

We now have can use the first equation to express S in function of F:

We can now replace S in the second equation and solve for F:

We have found that the first brand will have a volume in the mixture of 153 gallons.

We can now calculate S as:

The second brand volume in the mix is 17 gallons.

Answer:

First brand: 153 gallons

Second brand: 17 gallons.

Answer:

1

Step-by-step explanation:

Because it is where the like crosses with the y axis

Answer:

I don't know men iam grade 7 student

Answer:

1024 pi

Step-by-step explanation:

r = 32 units.

Area = pi * r^2

Area = 3.14 * 32^2

Area = 1024 * pi

Tt = pi??

Answer:

the sum of the series is 365 is my answer

Yes, it is True. If we change the constraint quantity to a value outside the range of feasibility for that constraint quantity, the shadow price will change.

The shadow price is the marginal value of the constraint quantity, and it represents the increase in the objective function per unit increase in the constraint quantity. If the constraint quantity is changed to a value outside the range of feasibility, the shadow price will change because the relationship between the objective function and the constraint quantity has changed. The change in shadow price will depend on how the constraint affects the objective function, but it is typically that the shadow price will increase as the constraint becomes more binding.

To know more about constraint quantity:

https://brainly.com/question/14786246

#SPJ4

Answer:

x<-8

Step-by-step explanation:

x/8<-1

x<-1×8

x<-8

Answer: \(1460.96ft^3\)

Step-by-step explanation:

You have a cylinder and a cuboid. Find each of these figures' volume individually and add them together.

Cylinder:

height = 4ft

radius = 4ft

\(Formula: V=\pi r^2h\)

\(V=(3.14)(4ft)^2(4ft)\\V=(3.14)(16ft^2)(4ft)\\V=(3.14)(64ft^3)\\V=200.96ft^3\)

---------------------------------------------------------------------------------------------------

Cuboid:

\(Formula: V = l*w*h\)

\(V=(15ft)(7ft)(12ft)\\V=1260ft^3\)

------------------------------------------------------------------------------------------------------

Add these two volumes together.

\(200.96ft^3+1260ft^3=1460.96ft^3\)

Answer:  12.5%

Step-by-step explanation:  Find the difference , 81-72=9

      then find the percentage of the original score 9%   9/72 =  12.5

That adds up to the answer 12.5%

Hoped this helped :)

Step-by-step explanation:

The percent change formula is

\( \frac{new - old}{ |old| } = \frac{81 - 72}{ |72| } = \frac{9}{72} = 12.5\)

Answer:

n  + 6.2 ≥ 11

Step-by-step explanation:

The head diameters are normally distributed with a mean of 7.1 inches and a standard deviation of 0.8 inches.

Due to financial constraints, the helmets will be designed to fit all men except those with head diameters in the smallest 0.5% or largest 0.5%. To determine the minimum head diameter that will fit the targeted clientele, we can use the z-score formula. A z-score represents the number of standard deviations a data point is from the mean. We'll need to find the z-score that corresponds to the 0.5 percentile (smallest 0.5%) using a standard normal distribution table or calculator. The z-score for the 0.5 percentile is approximately -2.58. We can now plug this z-score into the formula to find the corresponding head diameter:

Head Diameter = Mean + (z-score × Standard Deviation)
Head Diameter = 7.1 + (-2.58 × 0.8)
Head Diameter = 7.1 - 2.064
Head Diameter ≈ 5.036 inches
Therefore, the minimum head diameter that will fit the targeted clientele is approximately 5.036 inches.

Learn more about standard deviation here

https://brainly.com/question/24298037

#SPJ11

Answer:

The height of building is 21 m

Step-by-step explanation:

According to the Pythagorus Theorem

(Hypotenuse)² = (Base)² + (Perpendicular)²

We need to find out the perpendiclar so arranging the equation

(Hypotenuse)² - (Base)² =  (Perpendicular)²

Putting the values

(36)² - (29)² = (Perpendicular)²

1296 - 841 = (Perpendicular)²

455 = (Perpendicular)²

Taking Square root on both sides

√455 = √(Perpendicular)²

21.33 = Perpendicular

Rounding off the value is 21 m

Answer:

In short: 29 rounded to the nearest ten is 30.

Step-by-step explanation:

Locate  the tens place (2) then look at the digit to the right (9): In this case, the digit to the right (9) is 5 or above. So, we add 1 to the tens place (2).The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 30 as the answer.