Nguyen jogged 2/3 mile in 1/12 hour. What was the speed in miles per hour

To create a histogram, we need to divide the range of the data into a set of intervals or "bins" and count the number of data points that fall in each bin. We can then represent this information using a bar chart, where the height of each bar corresponds to the frequency (i.e., number of data points) in that bin.

To determine appropriate bin intervals, we can use the range of the data and the number of bins to create equal-width intervals. For example, we could create 5 bins of width 5:

Bin 1: 2 - 6 Bin 2: 7 - 11 Bin 3: 12 - 16 Bin 4: 17 - 21 Bin 5: 22 - 26

We can then count the number of data points that fall in each bin:

Bin 1: 2 Bin 2: 4 Bin 3: 3 Bin 4: 0 Bin 5: 3

Therefore, the intervals and their corresponding frequencies are:

Interval: 2 - 6 Frequency: 2

Interval: 7 - 11 Frequency: 4

Interval: 12 - 16 Frequency: 3

Interval: 17 - 21 Frequency: 0

Interval: 22 - 26 Frequency: 3

We can then use this information to create a histogram, where the x-axis represents the intervals and the y-axis represents the frequencies, with each bar corresponding to an interval and having a height equal to the frequency in that interval.

Answer: x = 112

Step-by-step explanation:

a pair of angles which are on the same side but one is interior other exterior.    

so the 2 angles are equal

The most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system is D) a random sample of 100 people from an alphabetical list of all adults who live in the town.

A random sample is needed to ensure that each member of the population has an equal chance of being included in the sample. Among the given options, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate because it is a representative sample of the entire population of adults in the town.

The other options have potential sources of bias, as follows:

A random sample of 250 names from the local phone book may exclude people who do not have a phone or whose numbers are unlisted.

A random sample of 200 parents whose children attend one of the local schools may be biased towards those who have children in the school system, which may not accurately represent the views of all adults in the town.

A sample consisting of 500 people from the city who take an online survey about the issue may only capture the opinions of those who have access to the internet and are willing to participate in the survey, which may not represent the views of all adults in the town.

A random sample of 300 homeowners in the town may be biased towards those who own homes, which may not represent the views of all adults in the town.

Therefore, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system. So d is correct option.

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The equation of the word problem is x-4n.

A word problem is a math problem written out as a short story or scenario. This mathematical statement are interpreted into mathematical equation or expression.

Representing the total number of sheep in the flock by x and representing the number of weeks by n. Therefore the remaining sheep in the flock for the number of weeks will be expressed as

x - 4n.

Therefore the equation for the word problem is x - 4n.

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68.5 is the measure of Angle A and round the answer to the nearest tenth.

Trigonometry is the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangential (tan), cotangent (cot), secant (sec), & cosecant (csc) are their names, respectively.

Here we have to use the tan ratio to find the answer.

tanθ = base/perpendicular

Given: perpendicular = 19, base = 22

tan θ = 19/22

θ = tan^-1 (19/22)

tan θ = 1.2

so the angle θ is

68.5 degree

Answer: B) 68.5 degrees

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Answer:

The measure of angle A is 40.8° to the nearest tenth.

Step-by-step explanation:

The given triangle ABC is a right triangle.

We want to find the measure of angle A, and have been given the length of the sides opposite and adjacent to angle A.

The tangent ratio of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side of that angle.

Therefore, we can use the tangent trigonometric ratio to find the measure of angle A.

[tex]\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}[/tex]

Given values:

Substitute the given values into the ratio and solve for x:

[tex]\implies \tan(x)=\dfrac{19}{22}[/tex]

[tex]\implies x=\tan^{-1}\left(\dfrac{19}{22}\right)[/tex]

[tex]\implies x=40.8150838...^{\circ}[/tex]

[tex]\implies x=40.8^{\circ}\; \sf (nearest\;tenth)[/tex]

Therefore, the measure of angle A is 40.8° to the nearest tenth.

The center of gravity is located 96.7 inches aft of the datum.

To determine the location of the center of gravity (CG) of the system, we need to calculate the moment of each weight about the datum, and then divide the sum of the moments by the total weight of the system.

The moment of each weight is equal to its weight multiplied by its distance from the datum. In this case:

Moment of weight a = 140 pounds x 17 inches = 2,380 inch-pounds

Moment of weight b = 120 pounds x 110 inches = 13,200 inch-pounds

Moment of weight c = 85 pounds x 210 inches = 17,850 inch-pounds

The total weight of the system is:

Total weight = weight a + weight b + weight c = 140 + 120 + 85 = 345 pounds

Therefore, the location of the CG can be calculated as follows:

CG location = (Moment of weight a + Moment of weight b + Moment of weight c) / Total weight

CG location = (2,380 + 13,200 + 17,850) / 345

CG location = 33,430 / 345

CG location = 96.7 inches aft of datum

As a result, the center of gravity is 96.7 inches aft of the datum.

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The better definition of leg include the following: D. either of the two sides that form the right angle.

In Mathematics, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.

Generally speaking, the longest side (hypotenuse) of a triangle is equal to the sum of the square of two shorter sides (legs):

a² + b² = c²

Where:

a, b, and c represents the legs, side lengths or length of sides of a right angled triangle.

In conclusion, the legs in Mathematics simply refers to the opposite side and adjacent side of a right angled triangle.

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To verify if older adults and middles ages people spend less time on social media, Justin can use the Analysis of variance (ANOVA) test.

ANOVA is used to compare means across two or more groups. Justin can use this test on the different category of younger adults, middle-aged and older adult. This test is done when there is statistically significant difference between the group of samples.

Justin can utilize post-hoc tests (such as Tukey's HSD and Bonferroni) to identify whether particular groups are statistically different from one another if an ANOVA shows a significant difference.

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The type of sampling used in this scenario is cluster sampling. This is because the researcher selects five specific cruises to survey, rather than randomly selecting individual passengers from all cruises. The passengers on each of the selected cruises represent a cluster, and the researcher surveys all of them.

Cluster sampling is often used when it is not feasible to sample every individual in a population, but it is possible to identify and sample specific groups or clusters within the population.

Here's a step-by-step explanation:

1. The travel industry researcher selects five cruises randomly. This random selection is the first stage of cluster sampling.
2. The researcher interviews all passengers on these selected cruises, which forms the clusters (groups) in this sampling method.
3. By interviewing every passenger within the chosen clusters, the researcher gathers data for the study.

Cluster sampling is chosen when it's more practical and cost-effective to study specific groups within a population, rather than trying to reach every individual using simple random, convenience, systematic, or stratified sampling. In this case, the clusters are the cruises, and all passengers within those cruises are interviewed.

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Answer:

small

Step-by-step explanation:

You can divide the number of mini candy bars over the price, and the lowest would be the smallest one, with 8.33.

Answer:

[tex]c + 15 > 24[/tex]

[tex]c > 9[/tex]

The additional amount will be more than $9.

Answer:  a. In this context, d(5) = 0.25 means that 5 minutes after 7:00 a.m., Tyler is 0.25 miles away from his house. This is because the function d(t) gives the distance of Tyler from his house t minutes after 7:00 a.m.

b. If d(5) = 0.25, then we know that 5 minutes after 7:00 a.m., Tyler is 0.25 miles away from his house. If there is a 120-minute delayed start time, then Tyler will walk for 20 + 120 = 140 minutes to reach his school. We want to find the corresponding point on the function s, which gives Tyler's distance from home t minutes after 7:00 a.m. with a 120-minute delayed start time. Since Tyler walks the same distance regardless of the delayed start time, we can use the same function for s as we did for d. Therefore, s(145) = 1.25, since Tyler is 1 mile away from his house after walking for 140 minutes and then an additional 5 minutes to account for the delayed start time.

c. Since Tyler walks the same distance regardless of the delayed start time, we can express s(t) in terms of d(t) by adding 120 minutes to the time t. Therefore, s(t) = d(t + 120).

d. The function n(t) = d(t + 60) gives Tyler's distance from his house t minutes after 8:00 a.m. This is because adding 60 minutes to t corresponds to adding one hour to the time, which means that Tyler leaves his house at 8:00 a.m. instead of 7:00 a.m. Therefore, n(t) gives Tyler's distance from school one hour after he leaves his house.

Step-by-step explanation:

The surface area, rounded to the nearest tenth, of the larger prism is 1296 square feet.

If the scale factor of the larger prism to the smaller prism is 6, then the corresponding ratio of their surface areas is 6² or 36:1.

Scale factor is the ratio of the lengths of corresponding sides of two similar figures. It is used to determine how much larger or smaller one figure is compared to another, and it is often expressed as a fraction or a decimal.

We know that the surface area of the smaller prism is 36 ft², so we can set up the equation

x = 36 × 36

where x is the surface area of the larger prism.

Simplifying the equation

x = 1296 square feet

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The means of two or more populations being equal is determined by a statistical approach for the ANOVA procedure. Option B is correct.

The ANOVA (Analysis of Variance) procedure is a statistical method used to determine whether there is a significant difference between the means of two or more groups. To statistically test the equality of means ANOVA uses F-tests.

The repeated-measures ANOVA is a two-stage process that is described as an analysis of dependencies. This test is used to prove an assumed cause-effect relationship between variables. The conditions that must be met for the results of an ANOVA are Independence, Random Sampling, Large Sample Size, and Normality.

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The sampling method used by the principal is Stratified sampling.

Stratified sampling is a sampling method where the population is divided into non-overlapping subgroups, called strata, based on certain characteristics or attributes, and then a random sample is drawn from each stratum.

In this case, the principal organized the school's population by grade level, which created four strata: freshman, sophomore, junior, and senior classes. The principal then randomly sampled fifty students from each of these four strata to collect data on their preferred elective course. This approach ensures that each grade level is represented in the sample, which can provide a more accurate and representative picture of the preferences of students in each grade level, compared to other sampling methods.

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The distance between A and B is approximately 8.06 units.

In order to find the distance, d, of AB, we need to use the distance formula. The distance formula gives us the distance between two points in a coordinate plane. It is given as:$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ where (x1, y1) and (x2, y2) are the coordinates of the two points in question.

In this case, A and B are the two points for which we need to find the distance. Let's assume that the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2).

Then the distance formula becomes:

$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$

$$d = \sqrt{((8 + 4) - 2)^2 + ((5 - 1) - 3)^2}$$

$$d = \sqrt{(10 - 2)^2 + (4 - 3)^2}$$

$$d = \sqrt{(8)^2 + (1)^2}$$

$$d = \sqrt{64 + 1}$$

$$d \approx \sqrt{65}$$

$$d \approx 8.06$$

Therefore, the distance between A and B is approximately 8.06 units.

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One machine can produce 600,000 nails in one hour.

Finding the total number of nails produced by the three machines in a minute and dividing that number by three to obtain the number of nails produced by a single machine in a minute are the first two steps in the solution to this problem.

The number of nails produced by a single machine in an hour can then be calculated by multiplying that number by 60.

Now, we add up the total number of nails produced during :

(15 + 16 + 45 + 48 + 55 + 59 + 3) / 7 = 30

To find the number of nails produced by one machine in one hour, we multiply by 60: 10,000 x 60 = 600,000

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Answer: Without knowing the specific problem you are referring to, it is impossible to determine the equation for the inverse function m(p).

However, in general, to find the inverse function of a given function f(x), we can follow these steps:

Replace f(x) with y: y = f(x)

Swap x and y: x = f(y)

Solve for y: y = f^-1(x)

The resulting equation y = f^-1(x) represents the inverse function of f(x).

For example, if the function f(x) = 2x + 5, the inverse function can be found as follows:

Replace f(x) with y: y = 2x + 5

Swap x and y: x = 2y + 5

Solve for y: y = (x - 5) / 2

Therefore, the inverse function of f(x) = 2x + 5 is f^-1(x) = (x - 5) / 2.

If you provide more information about the specific problem you are referring to, I can help you find the inverse function.

Step-by-step explanation:

The length of the third side between 2.1 inches and 8.3 inches (exclusive) could be a valid length for the third side of the triangle.

In a triangle, the length of any side must be less than the sum of the lengths of the other two sides and greater than the difference between the lengths of the other two sides.

We can apply this rule to find the possible lengths of the third side of the triangle, given that the lengths of the two sides are 5.2 inches and 3.1 inches.

Here we have

The lengths of two sides of a triangle are 5.2 inches and 3.1 inches

Let's denote the length of the third side as x. Then, we have:

3.1 + 5.2 > x > 5.2 - 3.1

8.3 > x > 2.1

Therefore, the length of the third side x must be greater than 2.1 inches and less than 8.3 inches.

We can write this as an inequality:

2.1 < x < 8.3

Therefore,

The length of the third side between 2.1 inches and 8.3 inches (exclusive) could be a valid length for the third side of the triangle.

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The first four terms of the sequence are a₁ = 2, a₂ = 5, a₃ = 8, a₄ = 11.

The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). A good example of an arithmetic progression (AP) is the series 2, 6, 10, 14,..., which follows a pattern in which each number is created by adding 4 to the previous term.

The given sequence is defined as a₁=2 and aₙ= aₙ₋₁ + 3 for n > 1.

To find the first four terms of the sequence, we can use the recursive formula repeatedly:

a₁ = 2 (given)

a₂ = a₁ + 3 = 2 + 3 = 5

a₃ = a₂ + 3 = 5 + 3 = 8

a₄ = a₃ + 3 = 8 + 3 = 11

Therefore, the first four terms of the sequence are a₁ = 2, a₂ = 5, a₃ = 8, a₄ = 11.

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Answer:

Yo, when you adding or subtracting mixed numbers with the same denominators, the numerators stay chill, they don't change, bro.

But the denominators, they also stay the same, man. It's like keeping things consistent, ya feel me? So the answer is A, dude. Numerators stay put, denominators stay put. It's all good vibes, bro! ✌️

It is more common to report the standard deviation for grouped data rather than variance for grouped data because the standard deviation is easier to interpret and compare between different groups.

The variance is a measure of the spread of the data, but it is not in the same unit as the original data, making it difficult to interpret. The standard deviation, on the other hand, is in the same unit as the original data, and it provides a more intuitive measure of the spread of the data.

Additionally, the standard deviation can be used to calculate confidence intervals and perform hypothesis tests, which are important statistical tools for analyzing grouped data. Overall, the standard deviation is a more useful and informative measure of variability for grouped data than the variance.

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The number of students surveyed who plays an instrument is 114 students.

The ratio of students who play instruments to those who do not is 7/20, which means that out of every 7+20=27 students, 7 of them play an instrument and 20 of them do not.

If we know that 440 students were surveyed, we can set up a proportion to find the number of students who play an instrument:

7/27 = x/440

To solve for x, we can cross-multiply:

7 * 440 = 27 * x

3080 = 27x

x = 114.07

Since we can't have a fraction of a student, we should round up to the nearest whole number, which means that approximately 114 students surveyed play an instrument.

Therefore, the required answer is 114.

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The probability of Daria and Blake being chosen together is 1/15. So correct option is A.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probabilities can be expressed as fractions, decimals, or percentages.

The concept of probability is used in a wide range of fields, including mathematics, statistics, science, engineering, finance, and economics. It is used to make predictions and decisions based on uncertain outcomes.

The probability of an event can be calculated by dividing the number of ways the event can occur by the total number of possible outcomes. This is known as the classical definition of probability. Other methods of calculating probability include empirical probability, which is based on observations or experiments, and subjective probability, which is based on personal judgment or opinion.

The total number of ways to choose 2 guards from 6 volunteers is given by the combination formula:

C(6,2) = 6! / (2! * 4!) = 15

Out of these 15 possible combinations, there is only one way to choose Daria and Blake together. Therefore, the probability of Daria and Blake being chosen together is:

1/15

So, the answer is (A) 1/15.

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The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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The 21st term of the sequence 3, 8, 13, 18, .. is 103

To find the indicated term in the sequence, we first need to identify the pattern followed by the sequence. It appears that each term is obtained by adding 5 to the previous term. So, we can write the general formula for the nth term of the arithmetic sequence as

a(n) = a(1) + (n-1)d

where a(1) is the first term of the sequence, d is the common difference, and n is the term number.

In this case, we have:

a(1) = 3 (the first term)

d = 5 (the common difference)

To find the 21st term, we substitute n = 21 in the formula:

a(21) = a(1) + (21-1)d

a(21) = 3 + 20(5)

a(21) = 103

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If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

To determine the remaining amount of money available left to buy gummy bears, we have to find the amount of money already spent on jelly beans.

Amount of money spent on jelly beans;

= 7/4 × 3.90

= 6.825

Amount of money left for gummy bears ;

= 15-6.825

= 8.175

Thus, Pounds of gummy bears bought = 8.175 ÷ 5.25

                                                    = 1.55 pounds

Hence, If David already has 7/4 pounds of jelly beans, then 1.55 pounds of gummy bears can he buy.

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All the plans proposed by classmates Sarah, Gene and Paul  represents linear function.

Total money in the account at (0 ,0 ) is $24.

Fundraising proposal showing fastest rate is of Sarah proposal plan.

To raise $200 recommended plan is of Sarah.

Standard linear function is y = mx + c

'm' is the slope and 'c' is the y-intercept.

For attached question

Let y represents the amount of money

And x represents the number of hours worked.

Proposing plan of Sarah represents the straight line

From graph consider two points

( x₁ , y₁ ) = ( 1, 20 )

(x₂ , y₂ ) = ( 2 , 30 )

Slope 'm' = ( y₂ - y₁ ) / ( x₂ - x₁ )

               = (30 -20 ) / ( 2 - 1 )

               = 10 /1

y = mx + c

⇒ 20 = 10(1) + c

⇒ c = 10

Linear function for Sarah is y = 10x + 10

Gene proposal ,

( x₁ , y₁ ) = ( 5, 42 )

(x₂ , y₂ ) = ( 10 , 77 )

Slope 'm' = ( y₂ - y₁ ) / ( x₂ - x₁ )

               = (77 -42 ) / ( 10 - 5 )

               = 35 /5

                = 7

y = mx + c

⇒ 112 = 7(15) + c

⇒ c = 7

Linear equation for Sarah is y = 7x + 7

Paul proposal is,

y = 10x + 7

Linear function.

This implies all proposal plans represents linear function .

As they are in form y = mx + c.

Yes class has money in the account.

Sarah has 10 , Gene has 7 and Paul has 7 in his account.

Total money in account = 24

If we put x = 5 in all the plans

Sarah raised

y = 10(5) + 10

  = 60

Gene raised

y = 7x + 7

 = 7(5) + 7

 = 42

Paul raised

y = 10x + 7

  = 10(5) + 7

  = 57

This implies Sarah plan raised the money at fastest rate.

Sarah and her classmates are hoping to raise $200

Sarah plan,

200 = 10x + 10

⇒ x = 19 hours

Gene plan

200 = 7x + 7

⇒ x = 27.6 hours

Paul plan

y = 10x + 7

⇒ 200 = 10x + 7

⇒x = 19.3hours

Recommended plan is of Sarah.

Therefore, all the proposal plans represents linear function.

Class has $24 in the account.

Sarah plan raises at the fastest rate.

Recommended plan is Sarah proposal plan.

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The above question is incomplete, the complete question is:

Attached question.