there are several different models for geometries in which the points are ordered pairs (x, y) of real numbers; we plot these points in the usual way in the x y-plane.

Drawing the histogram helps in guessing the average by allowing us to visually see the distribution of the data.

It is used to show the frequency of occurrence of different values within a set of data. In a histogram, the data is divided into a set of intervals or "bins," and the height of each bar represents the number of data points that fall within that bin.

The x-axis of a histogram typically represents the range of values in the data, while the y-axis represents the frequency of occurrence of those values. The bars are positioned so that they touch each other, indicating that the data is continuous and that there are no gaps between the bins.

Discrete data refers to data that can only take certain values within a defined range, such as the number of candies sold. Continuous data refers to data that can take any value within a defined range, such as swimming time.

To create a histogram for the swimming times, we first need to determine the range of the data and choose an appropriate interval width. In this case, the lowest value is 87 and the highest value is 136, so the range is 87 to 136. A suitable interval width could be 5. This would give us 11 intervals, from 85 to 90, 90 to 95, and so on, up to 135 to 140.

Next, we would tally the number of swimming times that fall into each interval and plot this information as bars on the histogram. The height of each bar represents the frequency of the interval.

Drawing the histogram helps in guessing the average by allowing us to visually see the distribution of the data. Based on the shape of the histogram, we can make a guess as to where the average is likely to fall. If the histogram is symmetrical, the average is likely to be in the middle. If it is skewed, the average will be closer to the side with the longer bar. By drawing a vertical line labeled "My Guess" on the histogram, we can see how close our guess was to the actual average.

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The fraction of the original surface area to the new surface area is 1/100.

The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.

Since the ratio of the new side to original length is 1/10.

Thus, the fraction of the original surface area to the new surface area will be the square of the ratio of the length. That is:

fraction of length = new length/ original = 1/10

fraction of area = (1/10)² = 1/100

fraction of area = new area/original area

1/100 = new area/original area

new area = 1/100 * original area

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The ratio completes the equivalent proportion a/b is 16/30.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The given proportion is a/b = 8/15.

To get the equivalent proportion multiply both the numerator and denominator by 2 we get

16/30

Multiply both the numerator and denominator by 3 we get

24/45

Therefore, the ratio completes the equivalent proportion a/b is 16/30.

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Answer:

Tha answer to your question is 15m

Step-by-step explanation:

pi * r^2 * h / 3

Area of the base = pi*r^2 = 70   so...

350 = 70 * h / 3  

350 = (70/3) * h     multiply both sides by 3/70

350 (3/70) = h = 15 m

Hope this helps you

Answer:

15m

Step-by-step explanation:

Using Fomula- V=AB h/3

h= 3 V/AB= 3· 350/70= 15m

An expression that calculates the time in hours a person takes to walk 35 miles at a speed of 5 miles/hour is: T = 35/5 = 7 hours.

In Mathematics, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using the following unit of measurement;

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Making time the subject of formula, we have:

Time = distance/speed

Time = 35/5

Time = 7 hours.

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The population in the year 2000 is 1230  students.

The equation for the population, P, of the school t years after 2000 is P = 53t + 1389.

The population of the school in 2015 in 2025 students

The starting population in 2003 is 1389.

average population growth per year = 53

The population in the year 2000 will be:

number of year = 2000 - 2003 = -3  (3 years back)

population in the year 2000 = 1389 -3(53) = 1230

To find an equation for the population, P, of the school t years after 2000. We can write:

P = 53t + 1389

Using your equation, predict the population of the school in 2015:

t = 2015 - 2003 = 12

P = 53t + 1389

P = 53(12) + 1389

P = 2025 students

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On solving the provided question, we can say that there is a probability 20.66% chance that Mr. Larson rode his motorbike on both Monday and Tuesday.

Probability theory is an area of mathematics that calculates the likelihood of an occurrence or a proposition being true. A risk is a number in the range of 0 and 1, whereas 1 implies certainty and a probability of roughly 0 indicates how likely an event seems to be to occur. Probability is a mathematical expression of the chance or chances that a given event will occur. Probabilities can alternatively be stated as integers between 0 and 1 or as % from 0% to 100%. the ratio of occurrences among equally likely choices that result in a certain event in comparison to all other outcomes.

Assuming that his decisions for the two days are independent, we must multiply the chance that he rides his motorbike on Monday by the probability that he rides it on Tuesday in order to get the likelihood that he does so on both Monday and Tuesday. Considering that his decisions on the two days are separate, Hence, the likelihood is:

(10/22) x (10/22) = 100/484 = 0.2066 or 20.66%

Hence, there is a roughly 20.66% chance that Mr. Larson rode his motorbike on both Monday and Tuesday.

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The rate of inflation for potatoes was 21%, for oranges it was 40%, and for ground beef it was 67%.

In mathematics, rate is a concept used to describe the change in one quantity with respect to another. It is usually represented as a fraction or a ratio and can be thought of as a measure of how fast one quantity is changing with respect to another.

For example, the rate of change of position with respect to time is called velocity. The rate of change of velocity with respect to time is called acceleration. Similarly, the rate of change of any function with respect to its independent variable is called the derivative of the function, and it represents the instantaneous rate of change at a given point.

Rate can also be used to describe the relationship between two quantities that are changing at the same time. For example, in economics, the interest rate is the ratio of the amount of interest earned or paid to the amount of money invested or borrowed. In science, the rate of a chemical reaction is the change in the concentration of a reactant or a product over time.

The rate of inflation for each item can be calculated using the formula:

r = (P2/P1)¹/ⁿ - 1

where P1 is the price per pound in 2009 and P2 is the price per pound in the given year, and n is the number of years between the two prices (in this case, n = 1 year).

For Potatoes:

P1 = $0.620

P2 = $0.749

n = 1

r = (0.749/0.620)¹/¹ - 1 = 0.21 or 21%

For Oranges:

P1 = $0.910

P2 = $1.280

n = 1

r = (1.280/0.910)¹/¹ - 1 = 0.40 or 40%

For Ground beef:

P1 = $2.251

P2 = $3.775

n = 1

r = (3.775/2.251)¹/¹ - 1 = 0.67 or 67%

So, the rate of inflation for potatoes was 21%, for oranges it was 40%, and for ground beef it was 67%.

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114.9 feet did Adam run more than Julie.

Two or more expressions with an Equal sign is called as Equation.

To compare the distances run by Adam and Julie, we need to convert both distances to feet.

Given Adam ran 2/5 mile and Julie ran 3/8 mile.

2/5 of a mile is equal to 2/5 * 5780 = 2312.4 feet

3/8 of a mile is equal to 3/8 × 5780 = 2167.5 feet.

Now let us find the difference between two persons.

So, Adam ran 2312.4 - 2167.5 = 114.9 feet.

Hence, 114.9 feet did Adam run more than Julie.

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The required, we have strong evidence to suggest that the population means is not equal to zero.

The null hypothesis, denoted as H0, is a statistical hypothesis that assumes that there is no significant difference between a population parameter and a hypothesized value or between two or more population parameters.

Here,
If we choose a 5% significance level, this means that we are willing to reject the null hypothesis (Hop=0) if the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value under the null hypothesis is less than 5%.

The observed value of the test statistic is z = -3.38. This means that the observed value is 3.38 standard deviations below the mean under the null hypothesis.

We can use a standard normal distribution table or calculator to find the probability of obtaining a z-score as extreme as -3.38 or less. The probability is approximately 0.0004, or 0.04%.

In other words, we have strong evidence to suggest that the population means is not equal to zero, and we can be 95% confident that the true population means falls within a certain range of values (based on the confidence interval).

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Step-by-step explanation

So you need to find a quarter of 20. A quarter is equal to 1/4. So to find that take 20 and decide by 4.

So

20/4 = 5

So 5 days it rained

The balloon payment due at the end of 48 months is approximately $19,726.27.

Answer choice (A) is the closest option.

What is the present value of an annuity?

Present value of an annuity is a financial concept that refers to the current value of a series of regular and equal payments or cash flows to be received or paid out in the future.

To find the balloon payment due at the end of 48 months, we can use the formula for the present value of an annuity:

PV = PMT x ((1 - (1 + r)^-n) / r)

where PV is the present value of the annuity (i.e. the balloon payment), PMT is the monthly payment, r is the interest rate per month (i.e. 6% / 12 = 0.005), and n is the number of periods (i.e. 48).

We can first find the total amount paid over 48 months:

Total payments = $199/month x 48 months = $9,552

We can then find the remaining balance on the car after 48 months:

Remaining balance = $24,000 - $9,552 = $14,448

Finally, we can use the present value formula to find the balloon payment:

PV = $199 x ((1 - (1 + 0.005)^-48) / 0.005) + $14,448

PV ≈ $19,726.27

Hence, the balloon payment due at the end of 48 months is approximately $19,726.27.

Answer choice (A) is the closest option.

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Answer: I got u ma

Step-by-step explanation:

Step-by-step explanation:

14/16 = 7/8

3/12 = 1/4

16/28 = 4/7

Answer:

Correct option is C)

Given s= 7m, h=9 m

Lateral surface area = Area of the curved surface =2πrh=2×

7

22

×7m×9m=396m

2

Total surface area = Area of curved surface + Area of two circular surfaces

=2πrh+2πr

2

=396m

2

+2×

7

22

×7m×7m=(396+308)m

2

=704m

2

The surface area of cylinder B is 548 square km.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, cylinder B is the image of cylinder A after dilation by a scale factor of 4.

The surface area of cylinder A is 137 km².

Then the surface area of cylinder B is 4×137

= 548 square km.

Therefore, the surface area of cylinder B is 548 square km.

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Step-by-step explanation:

1.  Calculate the mean of the data: (6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 9 + 10) /    10 = 8

2.  Subtract the mean from each data point to get the deviation:

3. Square each deviation:

4. Add up the squared deviations: 4 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 1 + 4 = 12

5.Divide the sum of squared deviations by the number of data points (n-1), which is 9 in this case: 12 / 9 = 1.33

Answer:
So, the variance is 1.33.

Answer:

30/2 = 15cm = r

(Pi)r^2 = area of circle

(Pi)(15)^2 =706.5cm

Area of circle x height = volume

706.5 x 325 = 229613cm^3

The measure of trapezoid's opposite angle is 135°. The solution has been obtained by using properties of trapezoid.

What is a trapezoid?

Four sides make up the quadrilateral of a trapezoid, two of which are parallel while the other two are not. It is also referred to as a trapezium. A closed, four-sided form or figure known as a trapezoid has its own perimeter and can enclose an area.

We are given that one base angle is equal to 45°

We know that in a trapezoid

Base angle + Opposite angle = 180°

Using this, we get

⇒45° + Opposite angle = 180°

⇒Opposite angle = 180° - 45°

⇒Opposite angle = 135°

Hence, the measure of trapezoid's opposite angle is 135°.

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The total cost to purchase a tarp that is the same size as Keith's tent is given as follows:

$24.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

The dimensions for the tarp in this problem are given as follows:

Hence the area is given as follows:

A = 3 x 8 = 24 square feet.

As the cost is $1.00 per square feet and there are 24 square feet, the total cost is given as follows:

$24.00.

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Answer: A person who is eligible to use a 1040EZ form when filing a federal income tax return must meet certain criteria:

Must have taxable income of less than $100,000

Must not claim any dependents

Must only have wages, salaries, tips, taxable scholarship or fellowship grants, unemployment compensation, or Alaska Permanent Fund dividends, and your taxable interest is less than $1,500

Given these criteria, the correct answer is:

D. Single person, with no dependents, who made $49,000 last year.

Step-by-step explanation:

The area of figure above is a) 6cm²

In addition to the circumference, a square shape also has an area, where the area of a square is calculated by squaring the length of its side.

Formula: Area of square= s²

The question above, the side of square is 1 cm.

so the area of one small square is 1×1= 1cm²

Because the shape is contain of 6 small square, therefore the total area is 6×1cm²=6cm²

A square has the following properties

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The number of values greater than 10.5 and less than 12.5 is 5. By adding the frequencies between these quantities, we could get the number.

A histogram is a graph representing frequency distribution of data points in a dataset. In one axis the data points are given, and the other axis is the frequency. It can be used in both discrete and continuous dataset. In discrete data, there will be individual data points and for continuous it will be a range.

Here the given dataset is a continuous dataset. The frequency of datapoints between 10.5 and 11.5 is 2 and frequency between 11.5 and 12.5 is 3. So the total will be 2+3 = 5.

So the frequency or values between 10.5 and 12.5 is 5

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The complete question is in the image.

Answer: 396

Step-by-step explanation:

length- x+4

width - x

perimeter = 40

40 = x+4+x

40-4=2x

36=2x

x=18

length - 18+4=22

width - 18

area = 22*18 = 396

Years: 2.455 years

Amounts: $843 billions

This can be solved by using equation solving method.

An expense classified as personal is one that is not related to a trade or enterprise, a passive activity, or an investment. Personal consumption spending is often divided into two categories: goods and services. Groceries, automobiles, and fuel are a few examples of products. Rent, medical treatment, and insurance are a few examples of services.

f(x) = 40.74x + 742.65

h(x) = 47.93x +725

For f(x) = h(x),

40.74x + 742.65 = 47.93x +725

47.93x - 40.74x = 742.65 - 725

x (47.93-40.74) = 17.65

x = 17.65 /7.19 = 2.455 years.

2.455 years after 1995, that is in 1998, these expenditures would be equal to each other.

The amount spent on each would be :-

40.74(2.455) + 742.65 = $842.667

= $843 billions.

Years: 2.455 years

Amounts: $843 billions

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Answer:

[tex]m\angle C\approx42.774^\circ[/tex]

Step-by-step explanation:

Use the Law of Sines

[tex]\displaystyle \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\\ \\ \frac{\sin47^\circ}{28}=\frac{\sin C}{26}\\ \\ 26\sin47^\circ=28\sin C\\ \\C = \sin^{-1}\biggr(\frac{26\sin47^\circ}{28}\biggr)\\\\C\approx42.774^\circ[/tex]

Answer:

Step-by-step explanation:

Since −f(x) is constant with respect to f, the derivative of −f(x) with respect to f is 0.0

The required ATP singles rankings for tennis players rank is false.

An interval scale is a type of measurement scale that has equal units of measurement and a zero point, meaning that differences between scale values can be meaningfully compared, but there is no meaningful interpretation of the zero point.

In tennis, ranking points are assigned based on a player's performance in a set number of tournaments over a rolling 52-week period, but the actual number of points assigned to a player is not an interval scale.

Thus, it is incorrect to say that the ATP singles rankings for tennis players are an example of an interval scale.

The given statement is false.

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The best description for this distribution is bimodal.

What is the Bimodal ?

Bimodal is a term used in statistics to describe a distribution with two modes, or peaks, in the frequency of occurrence of the values.

The distribution of the values: 3, 3, 5, 4, 3, 2, 5, 6, 5, 1 is best described as:

c. Bimodal

Bimodal means that the distribution has two modes, or peaks, in the frequency of occurrence of the values. In this case, the values 3 and 5 both have a high frequency of occurrence, forming two distinct modes in the distribution.

Therefore, the best description for this distribution is bimodal.

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Answer: 10 M

Step-by-step explanation: