Kevin cut a plank a yard long. He painted 1/3 yard of the plank in black. How much of the plank is unpainted?

Median, because Sunny Town is skewed.

Descriptive statistics is a branch of statistics that deals with the collection, organization, analysis, and interpretation of numerical data. It involves using various statistical measures to describe and summarize the characteristics of a set of data. Descriptive statistics helps to make sense of large amounts of data by presenting it in a more meaningful and understandable way. Commonly used measures of central tendency in descriptive statistics include mean, median, and mode, while measures of dispersion include range, variance, and standard deviation. Descriptive statistics is widely used in various fields, such as business, medicine, economics, psychology, and social sciences, to name a few.

Median, because Sunny Town is skewed.

The skewness of the histogram for Sunny Town indicates that the data is not symmetrically distributed, and therefore the median would be a better measure of central tendency to compare the locations. The mean can be affected by extreme values or outliers, which might be present in the skewed distribution of Sunny Town, making it less reliable in this case.

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Answer:

in total the company has 89,200 employees

For the data set 6, 3, 2, 9, 5, 2, 8, the mean absolute deviation (M.A.D.) is 2.285.

What is mean absolute deviation?

The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data set. A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.

The data set is given as - 6, 3, 2, 9, 5, 2, 8

The mean formula is -

Mean = sum of observations / number of observations

Substitute the values into the equation -

Mean = (6+3+2+9+5+2+8) / 7

Mean = 35 / 7

Mean = 5

The deviation is - (6 - 5 = 1), (3 - 5 = -2), (2 - 5 = -3), (9 - 5 = 4), (2 - 5 = -3), (8 - 5 = 3)

The mean deviation is -

Mean Deviation = sum of deviations from mean / number of observations

Substitute the values into the equation -

Mean Deviation = (1-2-3+4-3+3) / 7

Mean Deviation = 0 / 7

Mean Deviation = 0

So, the mean absolute deviation is -

Mean Absolute Deviation = (1+|-2|+|-3|+4+|-3|+3) / 7

Mean Absolute Deviation = 16 / 7

Mean Absolute Deviation = 2.285

Therefore, the MAD value is obtained as 2.285.

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Answer:

The equation would be 2,250 - 120m

your monthly payment for borrowing $15,000 over 5 years with an annual interest rate of 5.9% and monthly payments will be approximately $283.89.

To calculate the number of months required to pay off the loan, we can use the loan repayment formula:

n = -log(1 - (r * PV) / PMT) / log(1 + r)

Where:

n = Number of months

PV = Loan amount (purchase price of the car)

PMT = Monthly payment

r = Monthly interest rate (APR divided by 12)

Substituting the given values, the formula becomes:

n = -log(1 - (0.04/12 * 12000) / 300) / log(1 + 0.04/12)

Simplifying this expression, we find:

n ≈ 40

Therefore, it will take approximately 40 months to pay off the loan for the used car.

Moving on to the second question, to calculate the monthly payment for borrowing $15,000 over 5 years with an annual interest rate of 5.9% and monthly payments, we can use the loan payment formula:

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

Where:

PMT = Monthly payment

PV = Loan amount

r = Monthly interest rate (annual interest rate divided by 12)

n = Number of months (5 years * 12 months per year)

Substituting the given values, the formula becomes:

PMT = 15000 * (0.059/12 * (\((1 + 0.059/12)^(5*12)\))) / (\((1 + 0.059/12)^(5*12)\) - 1)

Calculating this expression, we find:

PMT ≈ $283.89

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Answer: 65%

Step-by-step explanation:

The organization sent out 640 invitations.

416 out of this 640 attended the fundraiser.

The percentage who attended is:

= 416/ 640

= 0.65

= 65%

Answer:

97.79ft

Step-by-step explanation:

Adding the area of every side together gets the surface area of the whole shape.

Answer:

192 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, let's convert 6 feet 3 inches to just inches. Because there are 12 inches in 1 foot, we can say that there are 72 inches in 6 feet. Combined with the other 3 inches, we can say that Marco is a 75 inches tall.

Now, we can multiply the number of inches we found by 2.54 to get Marco's height in centimeters. This gives us 190.5 cm.

Answer:

- In a 3-D setting, straight line aa can be perpendicular or parallel to straight line cc.

- In a 2-D setting, straight line aa can only be parallel to straight line cc.

- W ustawieniu trójwymiarowym linia prosta aa może być prostopadła lub równoległa do linii prostej cc.

- W ustawieniu 2-D linia prosta aa może być równoległa do linii prostej cc.

Step-by-step explanation:

English Translation

Straight line aa and straight line bb are perpendicular to each other, as well as straight line bb and straight line cc are perpendicular to each other. Choose the correct completion of the sentence. Line aa is perpendicular / parallel to line cc.

Solution

If the frame of reference for the lines is in 3-D, then, it is the straight line aa can also be perpendicular to the straight line cc in the same vein as the x, y and z component lines are usually all perpendicular to one another. Note that straight line aa could also be parallel to straight line cc in a 3-D frame of reference.

But in a 2-D frame of reference, straight line aa can only be parallel to straight line cc. This is because the only directions that straight line bb can be perpendicular to, in a 2-D setting, are all in the same parallel direction.

In Polish/Po polsku

Jeśli układ odniesienia dla linii jest w 3-D, to jest to linia prosta aa może być również prostopadła do linii prostej cc w tej samej żyle, ponieważ linie składowe x, y i z są zwykle wszystkie prostopadłe do jednego inne. Należy zauważyć, że linia prosta aa może być również równoległa do linii prostej cc w trójwymiarowym układzie odniesienia.

Ale w dwuwymiarowym układzie odniesienia linia prosta aa może być tylko równoległa do linii prostej cc. Jest tak, ponieważ jedyne kierunki, w których prosta bb może być prostopadła, w ustawieniu 2-D, wszystkie są w tym samym kierunku równoległym.

Hope this Helps!!!

Mam nadzieję że to pomoże!!!

Answer:

Step-by-step explanation:

Using Heron's formula, the area of the porch is 294 squared feet

To calculate the area of the porch, we need to use Heron's formula which is given as;

Heron's formula is a mathematical formula used to calculate the area of a triangle when the lengths of all three sides are known. It is named after the ancient Greek mathematician Heron of Alexandria. The formula is:

Area = sqrt(s(s-a)(s-b)(s-c)),

where s is the semi-perimeter of the triangle (s = (a+b+c)/2) and a, b, and c are the lengths of the three sides.

Substituting the values into the formula;

s = (21 + 28 + 35) / 2

s = 84 / 2

s = 42

Using the value of s

A = √42(42 - 21)(42 - 28)(42 - 35)

A= 294

The area is 294 ft²

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Answer:

give the other person brainliest

Step-by-step explanation:

the answer is B. 62°

the correct answer to the question is the answer is B. 62°

The area of the square is 74 - 16√10 square inches.

To find the area of a square, we need to know the length of one side. In this case, the length of the square is given as "(8 - square 10) inches long."

Let's solve for the length of the square:

8 - square 10

Since "square 10" means taking the square root of 10, we have:

8 - √10

Now, let's find the area of the square using the side length we obtained:

Area = (side length)^2

Area = (8 - √10)^2

Expanding this expression, we get:

Area = (8 - √10)(8 - √10)

Area = 64 - 8√10 - 8√10 + 10

Area = 64 - 16√10 + 10

Area = 74 - 16√10

Therefore, the area of the square is 74 - 16√10 square inches.

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Answer:  x=11

Step-by-step explanation:

Answer:

\( \sf \: x = 11\)

Step-by-step explanation:

Given equation,

→ 0.3(4 + x) = 4.5

Now the value of x will be,

→ 0.3(4 + x) = 4.5

→ 1.2 + 0.3x = 4.5

→ 0.3x = 4.5 - 1.2

→ 0.3x = 3.3

\( \sf \rightarrow \: x = \frac{3.3}{0.3} \)

→ [ x = 11 ]

Hence, the value of x is 11.

Answer:

X = 51.63

Step-by-step explanation:

Answer:

x=34.44

Step-by-step explanation:

I hope this helps!!!

Answer:

The answer is below

Step-by-step explanation:

The options are not clear. I would solve a similar question.

A linear function is a function in the form:

y = mx + b;  where y and x are variables, m is the slope and b is the y intercept.

From the options:

a) y = 3x³

Since the equation is not in the form of y = mx + b, hence it is not a linear function. It is a nonlinear function.

b) 3x + 2y = 10

2y = -3x + 10

The equation is in the form of y = mx + b, hence it is a linear function.

c) y = 15.3

The equation is in the form of y = mx + b, hence it is a linear function.

d) y = (1/4)x - 2

The equation is in the form of y = mx + b, hence it is a linear function.

Answer: Less likely since the number of cyan is quite lower or the lowest in comparison of magenta and yellow.

Answer:

20.2%

Step-by-step explanation:

he relative difference between two values can be calculated using the formula:

Relative Difference = (|V1 - V2| / ((V1 + V2) / 2)) * 100%

where V1 is the first value and V2 is the second value.

For the U.S. per capita consumption of beef, we have V1 = 67.8 pounds in 2000 and V2 = 55.4 pounds in 2016. Plugging these values into the formula, we get:

Relative Difference = (|67.8 - 55.4| / ((67.8 + 55.4) / 2)) * 100%

Relative Difference = (12.4 / 61.6) * 100%

Relative Difference = 0.202 * 100%

Relative Difference = 20.2%

So the relative difference between the U.S. per capita consumption of beef in 2000 and 2016 is 20.2%.

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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iv) the probability that the average pregnancy duration is more than 275 days is approximately 0.7486.

i) To find the probability that a given pregnancy will last more than 280 days, we need to calculate the area under the normal distribution curve to the right of 280 days.

Z = (X - μ) / σ

Z = (280 - 272) / 9

Z ≈ 0.89

Using a standard normal distribution table or a calculator, we can find the probability corresponding to the Z-score of 0.89:

Prob = 1 - cumulative probability to the left of Z = 1 - 0.8133 ≈ 0.1867

Therefore, the probability that a given pregnancy will last more than 280 days is approximately 0.1867.

ii) To find the probability that a pregnancy will last between 265 and 283 days, we need to calculate the area under the normal distribution curve between these two values.

For X = 265:

Z = (X - μ) / σ

Z = (265 - 272) / 9

Z ≈ -0.78

Using a standard normal distribution table or a calculator, we find the cumulative probability to the left of Z = -0.78:

Prob = 0.2181

For X = 283:

Z = (X - μ) / σ

Z = (283 - 272) / 9

Z ≈ 1.22

Using a standard normal distribution table or a calculator, we find the cumulative probability to the left of Z = 1.22:

Prob = 0.8888

To find the probability between 265 and 283 days, we subtract the cumulative probability for 265 from the cumulative probability for 283:

Prob = 0.8888 - 0.2181 ≈ 0.6707

Therefore, the probability that a pregnancy will last between 265 and 283 days is approximately 0.6707.

iii) The standard deviation of the average duration of pregnancy for a sample of 36 women (X(bar)) can be determined using the formula:

s = σ / sqrt(n)

s = 9 / sqrt(36)

s = 9 / 6

s = 1.50

Therefore, the standard deviation of X(BAR) is approximately 1.50.

iv) To find the probability that the average pregnancy duration is more than 275 days, we need to calculate the area under the normal distribution curve to the right of 275 days.

For X(bar) = 275:

Z = (X(bar) - μ) / (σ / sqrt(n))

Z = (275 - 272) / (9 / sqrt(36))

Z = 1 / (9 / 6)

Z ≈ 0.67

Using a standard normal distribution table or a calculator, we find the cumulative probability to the left of Z = 0.67:

Prob = 0.7486

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An equation that is the best model for a line of best fit for the data include the following: C. y = 3/4x + 5.

In order to determine an equation for the line of best fit that models the data points contained in the graph (scatter plot), we would have to use a graphing calculator (Microsoft Excel).

Based on the scatter plot (see attachment) which models the relationship between the x-values and y-values, an equation for the line of best fit is given by

y = 3x/4 + 5

In conclusion, we can reasonably infer and logically deduce that the scatter plot most likely indicates a linear relationship between the x-values and y-values.

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Complete Question:

Which of the following equations is the best model for a line of fit for the data?

y= 1/4x + 5.

y= -1/4x + 5.

y= 3/4x + 5.

y= -3/4x + 5.

a) A scatterplot of strength (y) versus diameter (x) is illustrated below.

b) The Model Equation is 30.71429X - 76.19048

c) The strength for a diameter of 5.5 mm through the equation is 92.73

d) The diameter would you predict a strength of 95kN/mm is 5.8

Spot welding is a popular method of joining metals, and it is crucial to understand the relationship between weld diameter and strength. In this scenario, we have a table that presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds. Our objective is to create a scatterplot of strength (y) versus diameter (x), report the model equation, and predict the strength for a diameter of 5.5 mm.

To create a scatterplot, we will plot the strength values on the y-axis and the diameter values on the x-axis. Each point on the graph represents a particular spot weld. We can use the scatterplot to observe the general pattern of the data, identify potential outliers, and assess the strength-diameter relationship.

After creating the scatterplot, we will fit a regression line to the data points.

Regression Equation = y = bX + a

b = SP/SSX = 21.5/0.7 = 30.71429

a = MY - bMX = 68.17 - (30.71 x 4.7) = -76.19048

y = 30.71429X - 76.19048

To predict the strength for a diameter of 5.5 mm, we will use the model equation. We will substitute the value of 5.5 for x in the equation and solve for y.

y = 30.7142(5.5) - 76.19048 = 92.73

In conclusion, understanding the relationship between weld diameter and strength is essential in spot welding. By constructing a scatterplot, reporting the model equation, and predicting strength for a specific diameter, we can gain valuable insights into the performance of spot welds.

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Complete Question:

The following Table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds.

a. Construct a scatterplot of strength (y) versus diameter (x).

b. Report the Model Equation.

c. Predict the strength for a diameter of 5.5 mm.

Diameter                Strength

4.2                                      51

4.4                                      54

4.6                                       69

4.8                                        81

5.0                                        75

5.2                                     79

Answers:

Positive slopes:

Y = 8x - 6 with a slope of 8.

30x - 5y = 25 with a slope of 6.

Negative slopes:

-3x + 3y = 18 with a slope of -1.

Y = -3x + 7 with a slope of -3.

20x + 10y = 90 with a slope of -2.

Step-by-step explanation: Have a great day! :)

Answer:

Positive Slopes

2) y = 8x - 6

3) y = 6x - 5

5) y = 1x + 6

Negative Slopes

1) y = -3x + 7

4) y = -2x + 9

(Bold numbers indicate the slopes)

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

y = mx + b

m ~ slope of the line

b ~ intercept of the line

\(3) \: \: 30x - 5y = 25 \\ 30x - 25 = 5y \\ \frac{30x - 25}{5} = \frac{5y}{5} \\ 6x - 5 = y \\ \\ y = 6x - 5\)

\(4) \: \: 20x + 10y = 90 \\ 10y = - 20x + 90 \\ \frac{10y}{10} = \frac{ - 20x + 90}{10} \\ y = - 2x + 9 \\ \)

\( 5) \: \: - 3x + 3y = 18 \\ 3y = 18 + 3x \\ \frac{3y}{3} = \frac{18 + 3x}{3} \\ y = 6 + x \\ \\ y = x + 6\)

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

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Scores on one variable plotted against scores on a second variable.

The correct answer is (b)

Now, According to the question:

Let's know:

A scatterplot shows:

A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis. Each individual in the data appears as a point on the graph.

Hence, The correct answer is (b) i.e.,

Scores on one variable plotted against scores on a second variable.

Given,

In the question:

A scatterplot shows:

a. the average value of groups of data.

b. scores on one variable plotted against scores on a second variable.

c. the frequency with which values appear in the data

d. the proportion of data falling into different categories.

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Answer: 1/x+1/y=1 (ii) xy + 5x = 4y + 38 x, y are natural numbers . To find : find all possible (x,y) Step-by-step explanation: 1/x+1/y=1. x = 1 then no value of y exist. x = 2 , y = 2

Step-by-step explanation:

Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:

a. The mean is of: 3.3

b. The standard deviation is of: 1.23.

c. They would have a mean of 3.3 and a standard deviation of 0.55.

For this problem, the mean is given by:

M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3

The standard deviation is:

\(S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23\)

It states that for distribution of sample means of size n:

Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.

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the answer I think is he saved $2.9

Answer:

$2.9

Step-by-step explanation:

The Expression is:

14.5 − 0.8(14.5)

The Answer is:

$2.9

Answer: 8 turns

Step-by-step explanation: 5 children at a time, so 5*8=40, which is the closest to 38