Paige walks to the park 2/3 mile away it takes her 16 minutes to get there how many miles per minutes

Using the range to compare the variability of data sets is a rather insensitive measure of data variance is the correct answer.

In this question,

The range tells you the spread of your data from the lowest to the highest value in the distribution. The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

Data variability also known as spread or dispersion, refers to how spread out a set of data is. Variability gives users a way to describe how much data sets vary and allows users to use statistics to compare their data to other sets of data.

Thus the disadvantage of using range is that it does not measure the spread of the majority of values in a data set, it only measures the spread between highest and lowest values.  

The options are a) It is a rather insensitive measure of data variance, b) It is hard to compute, c) It is a sensitive measure of data variance, d) It does not have any variance.

Hence we can conclude that using the range to compare the variability of data sets is a rather insensitive measure of data variance.

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Let us denote the total number of fish in the lake as 'x.' Initially, the ranger catches 400 fish and marks them with ink and puts them back in the lake.

Hence, now the total number of fish becomes 'x + 400.'On the next day, the ranger catches 60 fish, of which 3 are marked. So, the fraction of marked fish in the sample is 3/60. This fraction represents the fraction of marked fish in the entire lake. Therefore, the total number of fish in the lake is given byx + 400 = 60/3x + 400 = 20x = 20 * 60x = 1200Therefore, the ranger would expect to have 1200 fish in the whole lake.

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Answer: 8 : 6

Step-by-step explanation:

The outcome is random if we know the possible values it can have, but not which particular value it takes.

Randomness refers to the property of a process or system where the outcome is uncertain, unpredictable, and not predetermined. In a random process, we know the set of possible outcomes.

But we cannot determine which particular outcome will occur until it actually happens. For example, when flipping a fair coin, the possible outcomes are heads or tails.

But we do not know which one will come up until the coin is flipped. Randomness is a fundamental concept in probability theory and is used to model and analyze a wide range of phenomena.

Including games of chance, genetics, and quantum mechanics.

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Answer:

0.16

hope this helped

Answer:

70 people

Step-by-step explanation:

30 dollars for each person, so you divide 2,100 by 30 to find how many people.

2,100/30=70

Answer:

70

Step-by-step explanation:

Target=$2,100

Money Earned from a single person=$30

Number of persons=$2,100 /$30 = 70

Thus, 70 people need to attend their breakfast in order to raise $2,100

Answer:

All angles that are either interior angles, exterior angles, alternate angles or corresponding angles are all considered congruent.

Hope this answered your question!

Answer:

exterior angles, interior angles, alternate angles , corresponding angles

Estimated ice cream sales for a day with a temperature of 52°F is approximately 53.87 units.

The estimated ice cream sales on a day when the temperature is 52°F can be calculated using the equation y = 4.19x - 163.41. In this equation, x represents the temperature in Fahrenheit, and y represents the ice cream sales.

To estimate the ice cream sales, simply plug in the given temperature (52°F) into the equation: y = 4.19(52) - 163.41.

After performing the calculations, you will find that the estimated ice cream sales for a day with a temperature of 52°F is approximately 53.87 units. This value gives you an idea of how many ice cream units are likely to be sold on a day with this specific temperature. Keep in mind that this is an estimation, and actual sales may vary due to other factors, such as location, customer preferences, and marketing efforts.

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Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)

A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.

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For function represented as "f(x) = 3x(x+5)", the value of f(-2) is -18.

The 'Function" is a rule which assigns unique output value for each input value for given set. A function takes one or more inputs, and produces a "single-output", The "input-values" are called domain, and "output-values" are named as range.

In order to find the value of function at "-2", we substitute x as "-2" in the given function f(x) and then evaluate the expression:

We get,

⇒ f(x) = 3x(x+5),

⇒ f(-2) = 3(-2)(-2+5),

⇒ f(-2) = 3(-2)(3),

⇒ f(-2) = -18,

Therefore, the value of f(-2) is -18.

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The given question is incomplete, the complete question is

For the function f(x) = 3x(x+5), find the value of f(-2).

On solving the provided question we can say that  so the value of the data from histogram graphs will be x \(\alpha\) 0.123 * 125 / 100  = 0.15375

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

the best way to describe the data that was used to create this histogram (keep in mind that there is no scale on the horizontal axis, so you must choose based simply on the appearance of the histogram graphs

so the value of the data from histogram graphs will be

z = 0.123

u = 100

x = 125

x \(\alpha\) 0.123 * 125 / 100  = 0.15375

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Answer:

1.4 (or 7/5)

Step-by-step explanation:

5x = 7

/5    /5

x = 1.4

Answer:

I think the answers are 1 to 1 ,9 to 8 , 10 to7

The statement that is TRUE about the process capability analysis (assuming the process capability index Cpk is option D positive)  that if the standard deviation of the process decreases, the process capability index Cpk increases.

The process capability index (Cpk) is a measure of the ability of a process to produce output within specification limits. A positive value of Cpk indicates that the process is capable of meeting customer requirements. Cpk is calculated using the following formula:

Cpk = min[(USL - X) / 3σ, (X - LSL) / 3σ]

where USL is the upper specification limit, LSL is the lower specification limit, X is the process mean, and σ is the process standard deviation.

If the standard deviation of the process decreases, the denominator in the above equation decreases, which leads to an increase in the value of Cpk. This is because a smaller standard deviation indicates that the process is more consistent and produces less variation in output, making it more likely to meet the specification limits.

Therefore, the statement that is TRUE about the process capability analysis (assuming the process capability index Cpk is positive) is that if the standard deviation of the process decreases, the process capability index .

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Answer:

A positive standard score indicates that the original score is greater than the mean

Step-by-step explanation:

please mark as brainliest

A negative standard score indicates that the original score is lower than the mean.

A standard score, also known as a z-score, is a statistical measure that represents the number of standard deviations an individual score is away from the mean of a distribution. It provides a standardized way to compare and interpret individual scores within a dataset.

When the standard score is negative, it means that the original score is below the mean of the distribution. In other words, the value associated with the score is lower than the average value in the dataset.

For example, if we have a dataset with a mean of 50 and an individual score of 45, we can calculate the standard score (z-score) using the formula:

z = (x - μ) / σ

where x is the original score, μ is the mean, and σ is the standard deviation.

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Answer: -25/6

Step-by-step explanation:

(-1/5 ) v-7/3=-3/2

(-1/5)v= (-3/2)+(7/3)

(-1/5)V= (-9+14)/6

(-1/5)V=5/6

V=(5/6)*(-5/1)

V= -25/6

Answer:

10.7

Step-by-step explanation:

the tenth place is the first number that comes after the decimal so, that is the number you are rounding. We take a look following that number and it it is equal to or greater than 5, (which it is), we round up one number.

Answer:

10.7

Step-by-step explanation:

Any number between 1-4 rounds down and 5-9 rounds up, so here you will round up. I've included the decimal places as well below. The number after the decimal point is the tenth's place.

Good luck! Hope this helps

The equation of the exponential model is f(x) = 3 * 0.2^x

The table of data is given as:

x(-2,-1,0,1,2)

f(x)(71,13,3,0.6,0.1)

An exponential model is represented as:

f(x) = ab^x

When x= 0 and f(x) = 3;

We have:

ab^0 = 3

This gives

a = 3

When x= 1 and f(x) = 0.6

We have:

ab^1 = 0.6

This gives

ab = 0.6

Substitute 3 for a

3b = 0.6

Divide both sides by 3

b = 0.2

Substitute b = 0.2 and a =3 in f(x) = ab^x

f(x) = 3 * 0.2^x

Hence, the equation of the exponential model is f(x) = 3 * 0.2^x

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Answer:

B

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

APEX

The signal f(t) = cos(6t) + sin(8t) + e(j2t) is not periodic.

To determine if a signal is periodic, we need to check if there exists a fundamental period T₀ such that f(t + T₀) = f(t) for all t.

Let's analyze each component separately:

1. cos(6t): The fundamental period of cos(6t) is 2π/6 = π/3. This means that cos(6t + π/3) = cos(6t) for all t. Therefore, the fundamental frequency ω₀ for cos(6t) is 6.

2. sin(8t): The fundamental period of sin(8t) is 2π/8 = π/4. This implies that sin(8t + π/4) = sin(8t) for all t. Hence, the fundamental frequency ω₀ for sin(8t) is 8.

3. e(j2t): The exponential term e(j2t) has a frequency of ω = 2. However, it does not have a fundamental period since e(j2(t + T₀)) ≠ e(j2t) for any T₀.

Since the three components have different fundamental periods, there is no common fundamental period T₀ that satisfies f(t + T₀) = f(t) for all t. Hence , it is not periodic.

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To know how much lemonade you can buy with $320, we first need to determine the price of a pint of ice cream. Since you can buy 80 pints with $320, the price of one pint of ice cream is $320 divided by 80, which equals $4.

Next, we need to find the price of a glass of lemonade, which is 3.2 times less than the price of ice cream. Therefore, the price of a glass of lemonade is $4 - (3.2 * $4) = $4 - $12.8 = -$8.8.

Since the price of lemonade is negative, it indicates that you will receive money back for every glass of lemonade you buy. However, since you cannot have a negative quantity of lemonade, the answer would be zero.

In summary, with $320, you can buy zero glasses of lemonade.

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Answer:

2 inches

Step-by-step explanation:

first figure is 6x12, so the length is half the width, so side g is 2 cause 1 is half of 2

Answer:

g = 2 inches

Answer:

75%

Step-by-step explanation:

We are given that Sara bought a chest for $42, and then sold it for $73.50.

Recall that when finding by how much something was marked up, you should use the following formula:

(new price-original price)/(original price)

Let's substitute the values, like so:

\(\frac{73.50-42}{42}=\\\\ \frac{31.50}{42}\)

Now, set up a proportion to find what this fraction is as a percentage:

\(\frac{31.5}{42} =\frac{x}{100} =\\42x=3150=\\x=75\)

So, the price was marked up by 75%.

Use the property of determinant det(AB) = det(A)det(B) and the fact that A and A' have the same transpose to show that det(AAT) = (det(A))^2, and then use the fact that AAT is similar to A'A to conclude that they have the same characteristic polynomial. Option C is the correct answer.

Start with det(AAT). Use the formula det(AB) = (det A)(det B) to write det(AAT) = (det A)(det A). Then use the formula AAT = EI.

We can show that A and A' have the same characteristic polynomial by showing that they have the same eigenvalues.

Let λ be an eigenvalue of A with corresponding eigenvector x. Then we have:

Ax = λx

Multiplying both sides by A' on the left, we get:

A'Ax = A'λx

Using the fact that A'A = AA' = I, we can simplify this expression to:

x = λA'x

This shows that λ is also an eigenvalue of A' with corresponding eigenvector A'x. Therefore, A and A' have the same set of eigenvalues, which means that they have the same characteristic polynomial.

To prove this using determinants, we start with det(AAT). Using the property det(AB) = (det A)(det B), we can write:

det(AAT) = det(A)det(AT)

Since det(AT) = det(A) (which can be shown using the fact that det(AT) = det(A) and the property det(AB) = det(A)det(B)), we can simplify this expression to:

det(AAT) = (det A)^2

Using the fact that AAT = EI, we can write:

det(AAT) = det(EI)

Since det(EI) = 1, we have:

(det A)^2 = 1

Taking the square root of both sides, we get:

det A = ±1

This means that A and A' have the same set of eigenvalues, which implies that they have the same characteristic polynomial.

So, the correct option is C.

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The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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The length of the distance AB across the river is found to be 1472.88 meters.

The given figure represents the situation described in the question, where a surveyor laid off a distance BC = 358 m on one side of the river, and B = 115°10' and C = 17°20'.

Let the distance AB across the river be ‘d’ meters. We are to determine the distance AB across the river or the value of ‘d’. Here’s how we can do that:

Let the given figure be as shown below:

From the figure, we can see that the line segment AB represents the distance across the river.

This line segment can be split into two parts: BC and CD.

Let’s consider these two parts in detail: BC is the distance that the surveyor laid off, and its value is 358 meters.

CD is the distance from point C to point D along the bank of the river. In order to determine the value of CD, we need to use trigonometry, specifically the tangent function.

We can use the following formula to calculate CD:

Tan (angle B) = Opposite/Adjacent

Tan (115°10') = CD/358

Simplifying this equation, we get:

CD = 358 x tan (115°10')

CD = 1114.88 m

Now that we know the value of CD, we can find the value of d, which is the distance across the river.

d = BC + CD

d = 358 + 1114.88

d = 1472.88 meters

Therefore, the distance AB across the river is 1472.88 meters.

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Answer:

1,362, 00

Step-by-step explanation:

R= (1200)2 - 65 (1200)

=1,362,000

80 square meters of wallpaper must be sold.

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

R = y² - 65y.

Now, R= 1200

y² - 65y = 1200

y² - 65y -1200 = 0

y² - 80y + 15y -1200 = 0

(y- 80) (y + 15)= 0

y= 80, -15

Hence, 80 square meters of wallpaper must be sold if the revenue from the wallpaper is to be 1200 per day.

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