Circle graph

Bar graph

Line plot

Box plot

**Answer: The best graphical representation for their data would be a box plot. A box plot, also known as a box and whisker plot, is a useful tool for displaying the distribution of a dataset, including the minimum, first quartile, median, third quartile, and maximum values. This type of plot is particularly useful for comparing the spread of different sets of data, which would be useful for the class to compare the time it takes different students to travel to and from school.**

**Step-by-step explanation:**

**Answer:a box plot i did the exam**

**Step-by-step explanation: i did the exam.**

33. Companies will likely have autonomous robots delivering packages in the next few years. It has been determined that robots can meet their quotas if they have 4 robots for every 30 square miles of area they cover. If they want to offer service to a city of 75 square miles, how many robots must they have?

A)12 robots

B)10 robots

C)9 robots

D)15 robots

The number of **robots ** have have for a **city **of 75 square miles would be **10 robots. **

How many robots is needed for a 75 square miles?

The first step is to determine how many **robots **are needed for 1 square mile: 4/30.

The second step is to **multiply **this fraction by 75

4/30 x 75 = **10 robots**

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On a typical day, brianne uses her computer for 3 hours and her hair dryer for 10 minutes. what is the total cost of using both appliances for 6 days?

The **total cost** of using both appliances **for 6 days is about 3000-4000 watt.**

According to the statement

Brianne uses her computer for 3 hours

Brianne uses hair dryer for 10 minutes

Now we use the formula

C = wtc/1000

substitute the values in it

then

C = 600*6/1000

C = 3.6

and same for hair dryer

So, The **total cost** of using both appliances **for 6 days is about 3000-4000 watt.**

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Solve the logarithmic equation. write the answer in exact, simplified form. log(-c) + log8= log (7c-75)

The value of c is** 5** when we simplify the logarithmic equation log(-c) + log8= log (7c-75). This can be obtained using the properties of the logarithm.

Given that,

log(-c) + log8 = log (7c-75)

log (-8c) = log (7c-75) (∵** log a + log b = log ab**)

- 8c = 7c - 75

(8+7)c = 75

15c = 75

**⇒ c = 5 **

Hence the value of c is** 5** when we simplify the logarithmic equation log(-c) + log8= log (7c-75).

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The function f(x) = (0.2)x

O increases for x > 0

O increases for all x

O decreases for all x

O decreases for x > 0

**Answer:**

Option (3)

**Step-by-step explanation:**

Since the base of the exponential is less than 1, the function is decreasing for all x.

Chocolate costing $\$10$ per pound is mixed with nuts costing $\$4$ per pound to make a mixture costing $\$6$ per pound. What fraction of the mixture's weight is chocolate

**1/3** portion of the **mixture**, costing **$\$6$** contains **chocolate**.

Assume that, in a **mixture**:

**chocolate** = **x** pound

**nuts** = **y** pound

**mixture**= **x+y**

The desired value is found by dividing the weight of the **chocolate** by the **overall weight**, or **x/(x+y)**.

From the given data,

cost of **x** pound **chocolate** at **$\$10$**per pound = **10x**

cost of** y** pound **nuts** at **$\$4$** per pound =** 4y**

cost of **x+y** pound **mixture** at **$\$6$** = **6(x+y) **

As per condition,

⇒**10x + 4y = 6(x+y)**

⇒10x + 4y = 6x+ 6y

⇒4x = 2y

⇒y = 2x

The **fraction** of the **chocolate** in the mixture is

[tex]x/(x+y)[/tex] = [tex]x/(x+2x)[/tex] = [tex]x/3x[/tex] = **1/3**

Therefore, **chocolate** makes **1/3** of the **mixture**'s **weight**.

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**Answer:**

1/3

**Step-by-step explanation:**

SELECT ALL THAT APPLY. In a population of 250 students, 60% are Whites, 20% are Latinos, 15% are Blacks, and 5% others. In a proportionate stratified random sample of 120, ______.

In a **proportionate stratified sample** of 120, there are 72 Whites, 24 Latinos, 18 Blacks and 6 others.

**Proportionate Stratified Sample**

A **proportionate stratified sample** is one in which the size of the strata in the sample is proportional to the size of the strata in the population; in other words, the chance of selecting a unit from a stratum depends on the relative size of that stratum in the population.

**Calculating the Proportionate Stratified Sample**

The given percentage of -

Whites = 60%

Latinos = 20%

Blacks = 5%

Strength of the sample = 120

⇒ Number of Whites = 60% of 120

= 0.6 × 120

=72

Number of Latinos = 20% of 120

= 0.2 × 120

=24

**Proportionate Stratified Sample of Blacks and Others**

Count of Blacks = 15 % of 120

= 0.15 × 120

= 18

Count of others = 5% of 120

= 0.05 × 120

6

Thus, in a **Proportionate Stratified Sample** of 120, 72 are Whites, 24 are Latinos, 18 are Blacks, and 6 are others.

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[tex]27a^3+189a^2b+441ab^2+343b^3[/tex]

27a³ + 189a²b + 441ab² + 343b³ = **(3a + 7b)³**

**27a³ + 189a²b + 441ab² + 343b³**

Therefore,

27a³ = (3a)³

189a²b = 3(3a)²(7b)

441ab² = 3(3a)(7b)²

343b³ = (7b)³

(3a)³ + (7b)³ + 3(3a)²(7b) + 3(3a)(7b)²

a³ + b³ + 3a²b + 3ab² = (a + b)³

Therefore,

27a³ + 189a²b + 441ab² + 343b³ =** (3a + 7b)³**

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The angle measurements in the diagram are represented by the following expressions.

**Answer:**

since those 2 lines are parrelel that means the angles are the same so

8x+6=4x+38

minus 6

8x=4x+32

minus 4x

4x=32

divide by 4

x=8

Hope This Helps!!!

The **value **of the **x **is **11 **and the measure of the angle **B **is **82 **degrees.

It is defined as the angles when **two **lines intersect each other and at the intersecting **point**, some pair of **angles **are formed which we call **vertically opposite **angles, as the name describes that they have vertically **opposite **angles.

We have:

The angle **measurements **in the diagram are represented by the following **expressions**:

Angle A = 8x - 6

Angle B = 4x + 38

By using the vertically opposite angle property in angle B

As we know the alternate exterior angle are equal

8x - 6 = 4x + 38

4x = 44

x =11

Measure of angle B = 4(11) + 38 = 82 degrees

Thus, the **value **of the **x **is **11 **and the measure of the angle **B **is **82 **degrees.

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The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the probability that the sum of the 40 values is less than 7,100. (Round your answer to four decimal places.)

Using the **normal distribution**, there is a **0.2148 = 21.48% probability **that the sum of the 40 values is less than 7,100.

The **z-score** of a **measure X **of a normally distributed variable with **mean **[tex]\mu[/tex] and **standard deviation **[tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-scoreFor this problem, these **parameters **are given as follows:

[tex]\mu = 180, \sigma = 20, n = 40, s = \frac{20}{\sqrt{40}} = 3.1623[/tex]

**A sum of 7100** is equivalent to a sample mean of 7100/40 = 177.5, which means that the **probability **is the p-value of Z when X = 177.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{177.5 - 180}{3.1623}[/tex]

Z = -0.79

Z = -0.79 has a p-value of 0.2148.

There is a **0.2148 = 21.48% probability **that the sum of the 40 values is less than 7,100.

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On a plat map are two adjacent rectangular lots. Lot A has a square footage of 46,060, and Lot B has a square footage of 43,005. The common boundary they share is 235 feet long. What is the width of Lot B

The **Width **of plot B is 183 ft.

According to the statement

we have given that the Plot A has a square footage of 46,060, and Plot B has a square footage of 43,005. The common boundary they share is 235 feet long.

And we have to find the **width **of the Plot B

We know that

Area of plot A = 46,060 square footage.

Area of plot B = 43005 square footage.

Common area share by both Plot = 235 feet long.

So, Now

The width of Plot B = Area of plot B / Common area

Substitute the values in it then

width of Plot B = Area of plot B / Common area

width of Plot B = 43005 / 235

width of Plot B = 183 feet.

So, The **Width **of plot B is 183 ft.

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PLEASE HELPPPPP WILL GIVE BRAINLIEST

consider this equation

5/8x = 1/2x + 2

generate a plan to solve for the variable describe the steps you’ll use

**Answer:**

the value of the variable x is 16

**Step-by-step explanation:**

[tex]given \: expression \\ \frac{5}{8}x = \frac{1}{2} x + 2 \\ substract \: \frac{1}{2} x from \: both \: sides \\ \frac{5}{8}x - \frac{1}{2} x = \frac{1}{2} x - \frac{1}{2} x + 2 - \frac{1}{2} x \\ factor \: out \: common \: x \\ x( \frac{5}{8} - \frac{1}{2} ) = \frac{1}{8} \\ simplify \\ \frac{1}{2} x + 2 - \frac{1}{2} x \: \frac{1}{2} x - \frac{1}{2} x = 0 = 2 \\ \frac{1}{8} x = 2 \\ multiply \: both \: sides \: by \: 8 \\ 8. \frac{1}{8} x = 2.8 \\ simplify \\ x = 16.[/tex]

Charmaine's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $4.25 per pound, and type B coffee costs $5.40 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $451.50. How many pounds of type A coffee were used

**30 pounds of coffee A **and **60 pounds of coffee B used.**

According to statement

Type A coffee costs Charmaine $4.25 per pound

Type B coffee costs $5.40 per pound.

Total cost of month on coffee is $451.50

AND

**B=2A -(1)**

Let's form the equation

**4.25A + 5.40B = 451.50**

Put equation 1 in it then

4.25A + 5.40*2A = 451.50

15.05A = 451.50

A = 30 pounds then

B = 60 pounds.

So, **30 pounds of coffee A **and **60 pounds of coffee B used.**

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I need help I'm stuck on this

a) The **length **of **p **is **21.4 cm**

b) The **measure **of **angle P** is **45.6°**

From the question, we are to determine the **length **of **p **

From the *Pythagorean theorem*, we can write that

30² = 21² + p²

p² = 30² - 21²

p² = 900 - 441

p² = 459

p = √459

p =** 21.4 cm**

∴ The **length **of **p **is **21.4 cm**

b)

**Measure **of** angle P **

Using SOH CAH TOA

[tex]cos P= \frac{21}{30}[/tex]

cos P = 0.7

P = cos⁻¹(0.7)

P = **45.6°**

Hence, the **measure **of **angle P** is **45.6°**

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If a school opens at 10 am and closes at 3.30pm. if the lunch interval is of 30 minutes, find the ratio of lunch interval to the total times of class periods.

The **ratio** of **lunch interval** to the **total times** of **class periods **is 1:10

Given that **timing** of **school **opens is 10am , the **timing** of **school closes **is 3:30pm and the lunch **interval** is 30** minutes**

We need to **find **the **ratio** of lunch **interval **to the **total **times of **class periods**.

Now**,**

**Timing **of a **school**(10.a.mto3.30p.m)=5**hours**30**minutes**

**Timing** for **lunch** **interval**=30**minutes**

**Total time** of the **class** **periods**=5**hours**30**minutes**−30**minutes**

=5**hours**

=60×5=300 **minutes**.

**Ratio** of **lunch interval** to **total time** of the **class period**=30**minutes**:300 **minutes**=1:10

Hence the** ratio** of **lunch interval **to the **total times** of **class periods **is 1:10

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Help checking my answer (solving inequalities)

(-4x + 2) / 4 >= 6

-4x + 2 >= 24

-4x >= 22

**x <= 22/4 **OR **x <= 5 1/2 **OR **x <= 5.5**

Hope this helps!

Solve for B.

R = x(A + B)

The answer is B= r/x - A

i dont know how to do this

The **dimensions **of the **rectangle **are: **length= 18 in** and **width =1 in**.

There are different types of **quadrilaterals**, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is** defined accordingly to its length of sides and angles**. For example, in a **rectangle**, the **opposite sides are equal and parallel** and their **interior angles are equal to 90°**.

The **area of a rectangle** can be found for the formula : **l*w**, where b = length and w =width. The question gives that the area is 18 in².

For this question, the length exceeds its width by 17 inches - l=w+17. Thus, from the value of area given, you can find the values of the length and width of the rectangle.

A=l*w

18=(w+17)*w

18=w²+17w

w²+17w-18=0

Next step will be solve the previous equation ( W²+17W-18=0)

[tex]w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}\\ \\ w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}[/tex]

Therefore,

[tex]w_1=\frac{-17+19}{2\cdot \:1}=1\\ \\ \\ w_2=\frac{-17-19}{2\cdot \:1}=-18[/tex]

For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

As, the area (l*w) is 18 in², you have.

18=l*w

18=l*1

l=18 in

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The magnitude of vector λa is 5. Find the value of λ, if: a = (−6, 8)

The **value **of λ in the **vector** is 0.2

**Vectors **are the opposite of **scalar quantities **and they are **quantities **that have directions and **magnitude**

The **vector **a is given as:

a = (−6, 8)

The **magnitude **of **vector a **is calculated using

|a| = √(x^2 + y^2)

So, the **equation **becomes

|a| = √((-6)^2 + 8^2)

Evaluate the exponent

|a| = √(36 + 64)

Evaluate the sum

|a| = √100

Take the square root of both sides

|a| = 10

Given that

λa = 5

This means that

λ * 10 = 5

Divide both sides by 10

λ = 0.2

Hence, the **value **of λ is 0.2

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A restaurant owner wants to determine the effectiveness of his servers. the owner places a survey regarding the servers' effectiveness with randomly selected customer bills. what is the sample?

**The sample is the randomly selected customers.**

**Sampling: **

Suppose I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

Sampling is a process used in statistical analysis in which a predetermined number of observations are taken from a larger population. The methodology used to sample from a larger population depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling.

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A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and he changes the scale of the drawing to 1 in. = 1.1 ft.

What is the change in the scale factor from the old scale to the new scale?

The change in the **scale factor **from the **old scale **to the **new scale **is **3. **

A** scale drawing** is a reduced form in terms of dimensions of an original image / building / object. The** scale drawing** is usually reduced at a constant dimension.

The change in the **scale factor **= larger scale / smaller scale

3.3 / 1.1 = **3 **

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PLS HELP!!!!!!!!!!!!! math related

**Answer: B**

**Step-by-step explanation:**

When you evaluate f(-1)=2x^4+x^2-5 we will get -2 in basic notation (-1,-2). We need to find the root of the function to find the other roots or factors, where y=0.

Aubree's parents invested $500 into a mutual fund that paid 6.5% interest each year compounded annually when she was born. Find the value of the mutual fund in 18 years.

The **value** of the fund in **18 years** as required by the task is; **$****1****5****5****3****.****5****.**

Since, the **interest** rate is **compounded annually** as described, the **value** of the fund in 18 years can be calculated by means of the compound interest formula as;

Value = 500(1.065)^18.

Hence, we have; **Value = $1553.5.**

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d all the time and I like the time you

**Answer:**

**Step-by-step explanation:**

1a+1b(a+b-c)+1b+1c(b=c-a)+ 1a+1c(c+a-b)

1a+1b-c+1b +1c-a+1a+1c-b

1a+2b-c+a+1c-b

2a+1b+c this is the answer I think lol

A medication order states, normal saline (ns) iv to infuse at 125 ml/hr. How many ml will infuse in 8 hours? (record answer as a whole number. Do not use a trailing zero. )

The **amount of medicine** infused in 8 hours is 1000ml.

According to the statement

we have given that the medicine normal saline (ns) iv to infuse at 125 ml/hr.

and we have to find the total amount of medicine infuse in the 8 hours in the **whole number value**.

So,

An infusion is the creation of a new substance by steeping another substance in a liquid, usually water

we have given a rate of infusion of medicine per hour which is 125 ml/hr.

And

Amount of medicine infuse in 1 hour is 125 ml

And the Amount of medicine infuse in 8 hours = 125*8

Amount of medicine infuse in 8 hours = 1000 ml.

So, The **amount of medicine** infused in 8 hours is 1000ml.

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The income statement comparison for rush delivery company shows the income statement for the current and prior year. required: a) determine the operating income (loss) for each year. (2 marks) b) determine the operating income (% of sales) for each year. (2 marks) c) the company made a strategic decision to invest in additional assets in the current year. these amounts are provided. using the total assets amounts as the investment base, calculate the roi. was the decision to invest additional assets in the company successful? explain. (3.5 marks) d) assuming an 8% cost of capital, calculate the ri for each year. explain how this compares to your findings in (c). (3.5 marks)

Company's **average operating assets **for last year is $193000, company's **margin** is 15%, **return on investment** is 42%, company's residual income for last year is $521000.

Given the **balance sheet** and **income statement **of Joel de Paris and we have to calculate company's average operating assets for last year, company's **margin**,return on **investment** and company's** residual income **for last year.

1) Company's average operating assets=

(beginning operating assets+closing operating assets)/2

={(2562000-349000-253000)+(2634000-434000-25000)}/2

=(1910000+1950000)/2

=3860000/2

=$1930000

2)Company's margin= net operating income/ sales

=810000/540400

=15%

3)Turnover=sales/average inventory

=540400/1930000*100

=27.9%

=28%

4) Return on investment=margin* turnover

=15% of 28%

=42%.

Hence company's** average operating assets** for last year is $193000, company's **margin** is 15%, return on investment is 42%, company's **residual income **for last year is $521000.

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The question is incomplete and the information of question is in figure.

please help me i need to turn this in soon and i don't understand

**Answer:**

(a) C=88pi

A=1936pi

(b) Area

(c) Circumference

**Step-by-step explanation:**

Circumference formula = 2r(pi)

Area formula = pi(r^2)

Circumference = 2(44)(pi) = 88pi

Area = pi(44^2) = 1936pi

When something is paved it is the whole area not just the border so AREA

The chain will surround the place not fill it up so CIRCUMFERENCE

Help me solve this question!

**Answer:**

1st quartile is 136

The second quartile is also the median 142

The third quartile is 162

The interquartile range is the difference between the 3rd and first quartile or 26

**Step-by-step explanation:**

Amira's mother was in her garden, tying tomato plants to wooden stakes: it took her 10 minutes to stake each plant and she placed the plants 2 feet apart. IF she started at one end of the row at 8:00 am, how far from the first plant was the tomato plant she finished tying up at 9:00 am?

**Answer:**

12ft

**Step-by-step explanation:**

It takes 10 minutes for each plant and she spent 1 hour in total or 60 minutes: 60/10 = 6 plants

If each of the plants is 2 feet apart and there are 6 plants: 2ft*6 = 12ft

I legit forgot how to do this I need help with this

**Answer: 3/4**

**Step-by-step explanation: **

**Tangent is opp/adj**

**Therefore tan (x) = 18/24, which reduces to 3/4**

A rectangular parking lot is 253.5 feet long and 176.5 feet wide. a 55-gallon drum of asphalt sealer covers

4,000 square feet and costs $99.50. find the cost to seal the parking lot. (sealer can only be purchased in full

drums.)

**Answer:**

$1,194

**Step-by-step explanation:**

The area of the parking lot is 253.5(176.5) which equals 44,472.75. You then divide 44,472.75 by 4000 to see how many gallons you need to cover the parking lot. The answer to that was about 11.2 and since you can only purchase full drums you have to round it up to 12 to have enough. Finally, you multiply 12 by 99.50 and get your answer.

Maria makes a fruit salad. The table shows the amounts of different kinds of fruit that she uses. Kind of Fruit Amount Grapes 3 2/3 cups Melon 2 1/4 cups Pineapple 23/4 cups Strawberries? The amount of strawberries that Maria uses is 3/8 times the amount of the other fruits combined. How many cups of strawberries does Maria use?
If the North Korean farmer produces 1,500 pounds of food per year, what is the cost, in pounds of food, of North Korea army?
PLEASE ANSWER ASAP!!!! I WILL MARK BRAINLIEST!!!!!
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