Question 9(Multiple Choice Worth 2 points)
(Creating Graphical Representations LC)

A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.

Which graphical representation would be best for his data?

Stem-and-leaf plot
Histogram
Circle graph
Box plot
Question 10(Multiple Choice Worth 2 points)
(Circle Graphs MC)

A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.


Type of Transportation Number of Visitors
Walk 120
Bicycle 24
Car Service 45
Bus 30
Subway 81


Which of the following circle graphs correctly represents the data in the table?
circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 20 percent, car service 30 percent, bus 16 percent, and walk 54 percent
Question 11(Multiple Choice Worth 2 points)
(Circle Graphs LC)

Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.


Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54


If a circle graph was constructed from the results, which lake activity has a central angle of 54°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding
Question 12(Multiple Choice Worth 2 points)
(Making Predictions MC)

A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?

There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
Question 13(Multiple Choice Worth 2 points)
(Making Predictions MC)

A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.


Ice Cream Candy Cake Pie Cookies
81 9 72 36 27


Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.

Question 15

The line plots represent data collected on the travel times to school from two groups of 15 students.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.

Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.

Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16

Answer:

The maximum  volume is 35316.4 in^3.

Step-by-step explanation:

Length + width + height is less than equal to 62 inches

Height = width = W

Let the length is L .

\(L + W + W = 62 \\\\L= 62 - 2 W\\\\Volume, V = L W H\\\\V = (62 - 2 W)\times W \times W\\\\V = 62 W^2 - 2 W^3\\\\\frac{dV}{dW}=124 W - 6 W^2\\\\So, \frac{dV}{dW} =0\\\\124 = 6 W\\\\W = 20.67 inches\)

So, the maximum volume is

\(V =124\times 20.67\times 20.67 - 2 \times 20.67^3\\\\V =52978.86 - 17662.46 = 35316.4 inch^3\)

(1) P(z < -0.51) = 0.3046

(2) P(z > 0.73) = 0.2327

(3) P(-0.99 < z < 1.16) = 0.8222

(4) P(z > -0.64) = 0.7419

(5) The z value such that 50% of the total area lies to the right of it is z = 0.

(6) The z value to the right of the mean such that 85% of the total area lies to the left of it is z = -1.036.

What is Probability?

Probability is a measure of the likelihood or chance that a specific event will occur. It quantifies the uncertainty associated with an event and is expressed as a value between 0 and 1, where 0 represents impossibility and 1 represents certainty. In other words, probability indicates the proportion of times an event is expected to occur out of all possible outcomes. It plays a fundamental role in statistics, mathematics, and various fields where uncertainty and random events are involved.

Let's go through each question and explain the solutions:

(1) P(z < -0.51) represents the probability that a standard normal random variable is less than -0.51. By looking up this value in the standard normal distribution table or using a calculator, we find that the probability is approximately 0.3046.

(2) P(z > 0.73) represents the probability that a standard normal random variable is greater than 0.73. Again, by looking up this value or using a calculator, we find that the probability is approximately 0.2327.

(3) P(-0.99 < z < 1.16) represents the probability that a standard normal random variable falls between -0.99 and 1.16. By finding the individual probabilities for each interval and subtracting them, we get a probability of approximately 0.8222.

(4) P(z > -0.64) represents the probability that a standard normal random variable is greater than -0.64. Using the standard normal distribution table or a calculator, we find that the probability is approximately 0.7419.

(5) The z value such that 50% of the total area lies to the right of it corresponds to the median of the standard normal distribution. Since the standard normal distribution is symmetric, the median is at z = 0.

(6) To find the z value to the right of the mean such that 85% of the total area lies to the left of it, we look for the z value that corresponds to the cumulative probability of 0.85. By using the standard normal distribution table or a calculator, we find that the z value is approximately -1.036.

In summary, these questions involve finding probabilities associated with the standard normal distribution using z-scores.

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Answer:

0:42

Step-by-step explanation:

while the presence of only one spot on a TLC plate may suggest that the compound is pure, further analysis is needed to confirm the purity of the compound, such as melting point determination, NMR spectroscopy, or HPLC (high-performance liquid chromatography).

Using UV and seeing only one spot on a TLC (thin-layer chromatography) plate is not a definitive indicator of the purity of a product.

While it is true that a pure compound will only show one spot on a TLC plate, there are several reasons why a compound may still show only one spot even if it is not pure. For example:

The impurity may have a similar Rf (retention factor) value to the compound of interest and therefore co-migrate with it on the TLC plate, making it difficult to distinguish between the two.

The impurity may be present in such a small amount that it is not visible on the TLC plate.

The compound of interest may have multiple conformers or isomers that have the same Rf value and appear as a single spot.

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Answer:

A

Step-by-step explanation:

The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.

The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.

To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.

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The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .

Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.

According to the given problem,

let , b = is the width of the fish tank

h = is the height of the fish tank given that , hold at least 35 cubic feet of water .

so ,

4×b×h ≥ 35

⇒ h ≥ 35/4b

now , surface area of the fish tank

⇒ 4b + 2× 4h + 2× bh

now substitute the value of h

here

⇒ ≥ 4b +70/b + 35/2

⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )

therefore ,

= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,

h = 35 / 4 × 4 = 2.1875 round off h = 2

so , the minimum surface area of fish tank is

⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48

hence , the height and the width of the fish tank is 2 and 4 .

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Answer:

Please check out the attachments below to get the answer

Step-by-step explanation:

the ratio of 1/18 simply means that 1 inch in the drawing represents 18 inches in reality.

so, the real flag is therefore

2×18 = 36 inches long and 1×18 = 18 inches wide (or high).

the area of the actual flag is therefore

36 × 18 = 648 in²

Answer:

26.44%

Step-by-step explanation:

The change in temperature is:

1535 - 1214 = 321

This change represents a percent increase:

321/1214*100% = 26.44% (rounded)

Angle R is approximately 38.66 degrees

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use trigonometric ratios to find angle R.

Since angle S is 90 degrees, we know that triangle RST is a right triangle.

Let's use the tangent ratio, which is defined as the opposite side over the adjacent side:

tan(R) = opposite / adjacent

We can label the sides of the triangle as follows:

R is the angle opposite side RT

S is the right angle, so it doesn't have a side opposite

T is the angle opposite side ST

Using the Pythagorean theorem, we can find the length of side RS:

RS² = RT² + ST²

RS² = 40² + 30²

RS² = 1600 + 900

RS² = 2500

RS = 50

Now we can use the tangent ratio:

tan(R) = opposite / adjacent

tan(R) = RT / RS

tan(R) = 40 / 50

tan(R) = 0.8

To find the angle R, we need to take the inverse tangent (also called arctangent or \(tan^{-1}\) of 0.8:

\(R = tan^{-1}0.8\)

R ≈ 38.66 degrees

Therefore,

Angle R is approximately 38.66 degrees

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Answer:

option 1

Step-by-step explanation:

\(x - 3 + \frac{7 x- 9}{ {x}^{2} - 2 } \)

your required answer

According to given information, the truck has 4.75 pounds of sand when it arrives at the yard.

What is distance?

Distance is a numerical description of how far apart objects or points are. It is a scalar quantity that is typically measured in units such as meters, kilometers, miles, etc. Distance is a fundamental concept in geometry, physics, and other fields of science and engineering.

The initial amount of sand the truck carried is 9.35 pounds.

The amount of sand the truck loses on the way is 4.6 pounds.

Therefore, the amount of sand the truck has when it arrives at the construction yard is:

9.35 - 4.6 = 4.75 pounds.

So the truck has 4.75 pounds of sand when it arrives at the yard.

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Answer:

25

Step-by-step explanation:

2x+10+4x+20=180° [ being straight angle ]

6x+30=180°

6x=180-30

x=150/6

x=25

The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

We know that the phone numbers of a small town either begin with 373 or 377. We are required to find out the number of phone numbers that are available. To solve this question, we need to count the number of phone numbers that are available for each prefix.

The prefix 373 can have numbers ranging from 3730000 to 3739999. Similarly, the prefix 377 can have numbers ranging from 3770000 to 3779999.

Therefore, the total number of phone numbers that are available is the sum of the phone numbers available for each prefix.

Total number of phone numbers = Number of phone numbers available for prefix 373 + Number of phone numbers available for prefix 377

Total number of phone numbers = 10000 + 10000

Total number of phone numbers = 20000

Therefore, The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

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Answer:

9.5

Step-by-step explanation:

5.50+4.00= 9.5

Answer:

$31

Step-by-step explanation:

2 adults and 5 children

(5.50*2) + (4.00*5)

11 + 20

$31

Answer:

C

Step-by-step explanation:

each input has exactly one out put... brainliest plssss

Answer:

30°

Step-by-step explanation:

the three interior angles of a triangle add up to 180, so 60° + 90°+ 30° just works. Sorry it's such a bad explanation, but the answer works . I have acellus too and I entered the answer before answering your question.

Answer:

take a common ratio which is 3 then from general thterm of G.P whose Gn=G1r^n-1 then G8=2×3^7=2×2187=4374 therefore G8=4374

Answer:

0

Step-by-step explanation:

(1-1) / (-6-2) = 0 / -8 = 0

The cash value of Jim's policy at 15 years and 25 years are equal to $9,000 and $51,000 respectively.

From the table shown in the image attached below, we can deduce that the cash value per unit for 15 years is given as:

15 years = $160.00 per unit.

Next, we would divide the face value of the policy by 1000:

Number of units = 150,000/1000

Number of units = 150.

Now, we can determine the cash value:

Cash value = 150 × 160

Cash value = $9,000.

The cash value per unit for 25 years is given as:

25 years = $340.00 per unit.

Next, we would divide the face value of the policy by 1000:

Number of units = 150,000/1000

Number of units = 150.

Now, we can determine the cash value:

Cash value = 150 × 340

Cash value = $51,000.

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Answer:

15 years = 24,000.00

25 years = 51,000.00

Step-by-step explanation:

Hey, I'll explain how you solve these.

Since the value is 150,000, this has to be divided by 1,000.

That gives us 150.

Now you multiply 150 by the 15 yr cash value, which is 160.  

This results in 24,000.00.

Since you have 150, you next need to multiply that by the 25 yr cash value, 340.

That gives us 51,000.00.

Hope it helps.  Feel free to mark Brainliest.  

Answer:

The answer is 15.7.

Step-by-step explanation:

Answer:

20 meters

Step-by-step explanation:

The area of a rhombus is the height multiplied by the base. Conversely, the height of a rhombus is the area divided by the base. Therefore, the height of this rhombus is 20 meters. Hope this helps!

The part of the graph that represents the velocity of the ball is the slope of the position-time graph. It corresponds to the steepness or the rate of change of the position of the ball with respect to time.

To determine what is happening to the velocity of the tennis ball with respect to time, we need to analyze the slope of the position-time graph

.If the slope of the graph is increasing, it means the velocity of the ball is increasing over time.

This indicates that the ball is speeding up or accelerating.

If the slope of the graph is decreasing, it means the velocity of the ball is decreasing over time.

This indicates that the ball is slowing down or decelerating.If the slope of the graph is constant, it means the velocity of the ball is constant, indicating a constant speed or no acceleration.

To determine the behavior of the velocity of the tennis ball with respect to time, we need to analyze the shape of the position-time graph or the changes in its slope.

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Answer:

1.74 pounds

Step-by-step explanation:

2.65 + 1.85 + 2.46 = 6.96

6.96/4=1.74

Answer:

Step-by-step explanation:

take 55 degree as reference angle

using tan rule

tan 55=opposite/adjacent

1.42=37/x

x=37/1.42

x=26.05

Answer:

(a) 2

Step-by-step explanation:

We can assume this is a 3-4-5 triangle from the two given sides, 5 and 3(2--1) so then we know the y difference of the y coordinate should be + or - 4 from -2 giving us two solutions of 2 and -6 since this is a multiple choice and a is 2 he answer is 2

True. The double integral can be used to compute the area of a region d in a plane by integrating the function f(x,y). In fact, the double integral of f(x,y) over a region D in the xy-plane gives the volume of the solid between the surface z=f(x,y) and the xy-plane over the region D.

However, if we take the function f(x,y) to be the constant function 1, then the double integral of f(x,y) over the region D is simply the area of the region D. Therefore, we can compute the area of a region D in a plane by integrating the constant function 1 over the region D using the double integral. Integrating over two variables requires calculating two separate integrals, so the answer is more than 100 words.
True. A double integral can be used to compute the area of a region D in a plane by integrating the function f(x, y). To find the area, you would integrate the function f(x, y) = 1 over the region D, as the double integral represents the sum of the function values over the entire area. The double integral can be thought of as a generalization of single-variable integration, allowing us to find the area in two dimensions.

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Answer:

Step-by-step explanation:

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Answer:

point-slope form, standard form, and slope-intercept form

Step-by-step explanation:

The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.

Here is an image with each form