Which of the following are true concerning this diagram? You may assume that the lines are parallel.

10% trimmed mean of the given data is xbar20 = 0.3269

In between the mean and the median, the trimmed means have some of the advantages of both without some of the disadvantages.

The 10% trimmed mean is the mean computed by excluding the 10% largest and 10% smallest values from the sample and taking the arithmetic mean of the remaining 80% of the sample (other trimmed means are possible: 5%, 20%, etc.

The 10% trimmed means omits 0.278 and 0.326 and yields

xbar10 =  0.278+ 0.285+0.299 + 0.304 + 0.306+ 0.306+ 0.306+ 0.308 +0.309 +0.310+ 0.313+ 0.313+ 0.315+ 0.317+ 0.317 +0.318+ 0.322+ 0.322+ 0.324+ 0.326 / 20

= 5.885 / 20

= 0.29

xbar = 1.29 and xbar = 1

Trimmed means are examples of robust statistics (resistant to gross error).

The 20% trimmed mean excludes the 2 smallest and 2 largest values in the sample above, and

xbar20 = 0.278+ 0.285+0.299 + 0.304 + 0.306+ 0.306+ 0.306+ 0.308 +0.309 +0.310+ 0.313+ 0.313+ 0.315+ 0.317+ 0.317 +0.318+ 0.322+ 0.322+ 0.324+ 0.326 / 18

xbar20 = 0.3269

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Answer: Part A 20.8 divided Part B 2 places to the left Part C 0.208

Step-by-step explanation:

Part A the question ask each time and when it ask each time it means dividing Part B when dividing you move to the left and their are two 0s and moving the decimal two places to the left would get you 0.208 so, therefor the answer is 0.208

On solving the provided question, based on the information, we can say that there are 35 X 6 = 210 ways

Combining means selecting all or part of a set of objects, regardless of the order in which the objects are selected. Suppose we have a set of three characters.

[tex]^nC_{r} = \frac{n!}{r!(n - r)!}[/tex]

ways can this company buy them are - 35 X 6 = 210 ways

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Answer:  The top right table

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Given: [tex]\textsf{y = 30 - 3x}[/tex]

Find:  [tex]\textsf{Match the table of values with the equation}[/tex]

Solution: First we must understand what form our equation is in and what each of the numbers represent.  This form is known as the slope intercept form which is formatted as y = mx + b.  Our equation is slightly re-ordered but we can change that by converting it to y = -3x + 30 where m is equal to -3 and b is equal to 30.  Let us know talk about what m and b are.  M is the slope of the equation or also known as the rise/run or the change in y over the change in x.  B is the y-intercept which is basically the value of y when x is equal to 0.  In this case, our b is equal to 30.

Looking at the tables we can see what the value of y when x is equal to 0 for each table.  The only table that matches up stating that y is equal to 30 when x is 0 is the top right table.

You do not have to go any further but if you want to confirm that the slope is as expected we can do the following:  [tex]\frac{y_2\ -\ y_1}{x_2\ -\ x_1}[/tex].

Plug in the values and simplify

Therefore, we can confirm that the slope matches up with the given equation as well.  So, the final answer would be that the top right table would correspond to the equation y = 30 - 3x.

The correct answer is  People in Canada who are happier are less likely to suffer cardiac problems.

We have been given four options from which we have to select the correct one.

a. Happiness causes better heart health for all people.

b. Happiness causes better heart health for Canadians.

c. Happiness causes better heart health for the people in the study.

d. Happier people in Canada are less likely to have heart problems.

e. Happier people in the study were less likely to have heart problems.

The researchers followed up with each person 10 times later and discovered that those who had been deemed pleased at the start were no longer so. People in Canada who are happier are less likely to suffer cardiac problems.

Therefore, the conclusion is people in Canada who are happier are less likely to suffer cardiac problems.

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As the cube size increases, the surface -area - to - volume ratio decreases .

Given :

as the cubes increased in size, describe what happened to the surface area to volume ratio, mathematically why this happened in terms of the formula for each.

Volume :

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Volume of cube = a^3

Surface area :

Surface area is the amount of space covering the outside of a three - dimensional shape.

Surface area of cube = 6a^2

suppose side length = 1

1^3 : 6 * 1^2

= 6 * 1 : 1

= 6 : 1

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The test statistic value for the given sample data with population mean difference is equal to optic C. 3.156.

As given in the question,

Given population mean difference μd = 0

sample size 'n' = 9

Sample data is:

x                y                [tex]d_{i}[/tex] ( x - y)                   [tex]( d_{i} - \bar{d} )^{2}[/tex]

168           162             6                                15.21

180           178              2                                62.41

157            145             12                               4.41

132            125             7                                  8.41

202           171              31                               445.21

124            126              -2                              141.61

190            180              10                              0.01

210            195              15                               26.01

171              163             8                                3.61

                                    ∑[tex]d_{i}[/tex] = 89                 ∑ [tex]( d_{i} - \bar{d} )^{2}[/tex] = 706.89

[tex]\bar{d}[/tex] = ( 1/ n ) ∑[tex]d_{i}[/tex]

  = (1/9) (89)

  = 9.889

  = 9.9

Standard deviation of the mean difference '[tex]S_{d}[/tex]'

= √[1 / (n - 1)]( ∑ [tex]( d_{i} - \bar{d} )^{2}[/tex] )

= √706.89/ 8

=√88.361

= 9.4

test statistic

t = ( [tex]\bar{d}[/tex] - μd)/ ( [tex]s_{d} /\sqrt{n}[/tex] )

 = ( 9.9 - 0) / ( 9.4 / √9)

 = 9.9/ 3.133

 = 3.156

Therefore, the test statistic value for the given sample data is equal to option C. 3.156

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Answer:the answer is 8070

Step-by-step explanation:

because it is

The volume of the solid obtained by rotating the region bounded by the given curves about the X-axis is 340978 vu.

Given curve is,

y = [tex]x^{3}[/tex] , y = 8, x = 0 about x = 7

we know the formula for cylindrical shell is

V = πR²h

where R² = f(x)₂-f(x)₁ ,

            h = dx

here f(x)₂ = 8 and f(x)₁ = x³

⇒ V = π(8 - x³)²h

    V = π(64 - 16x³+x⁶)dx

integrating on both sides,

[tex]\int dV[/tex] =π [tex]\int ({64 - 16 x^{2} + x^{6} }) \, dx[/tex]

        = [tex]64 \int dx - 16 \int {x^{3} } \, dx + \int\ {x^{6} } \, dx[/tex]

    V = π(64x - 4x⁴+[tex]\frac{x^{7} }{7}[/tex])

    V = π(64 × 7 - 4(7)⁴ + [tex]\frac{7^{7} }{7}[/tex])

        = π(448 - 9604 + 117649 )

        = [tex]\frac{22}{7}[/tex](108493)

   V = 340978 vu

Therefore volume of the cylindrical shells to the region y = x³, y = 8, x = 0 about x = 7 is 340978 vu.

Cylindrical shells are essential structural elements in offshore structures, submarines, and airspace crafts. They are often subjected to combined compressive stress and external pressure, and therefore must be designed to meet strength requirements.

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Answer:

[tex]\frac{4(8-1)}{6}[/tex]

6

Step-by-step explanation:

[tex]\frac{4(8 + 1) }{6}[/tex]

[tex]\frac{4(9)}{6}[/tex]

[tex]\frac{36}{6}[/tex]

6

Answer:

The expression is:

4(8+1)/6

Simplify:

= 6

Step-by-step explanation:

The expression is:

4(8+1)/6

Simplify:

= 4(9) / 6

= 36/6

= 6

To multiply fractions with multiple denominators, you have to change the fraction to get the same denominator.

For example, if you have 1/3 * 1/2, you will have to find the least common multiple of 3 and 2, which is 6. Then, multiply the numerator by the same number that you multiplied the denominator to get 6.

1/3 * 1/2

LCM = 6

[tex]\frac{1*2}{3*2} *\frac{1*3}{2*3} =\frac{2}{6} *\frac{3}{6}[/tex]

Then, multiply across the numerator

[tex]\frac{2}{3}*\frac{3}{6} =\frac{6}{6}=1[/tex]

Answer:

Step-by-step explanation:

Since we know the general circle equation is in the form

x^2 + y^2 = r^2, where r is radius

Now we are given the information that circle has the origin (0,0) and pass through point (-11,0), which mean the radius is 11 units.

Now we can write the circle equation as

x^2 + y^2 = 11^2

Answer:

the equation for the circle is:

X² +Y² = 11² = 121

The range is the set of all possible y-values that could come from the equation y = |x|.

Since the absolute value only results in 0 or positive numbers, the range cannot include any negative real numbers.  

    |3| = 3

    |0| = 0

    |-3| = 3

Therefore the range is not all real numbers, since all negative real numbers are excluded from the range.

The range is y ≥ 0.

The coefficient of x1 = 0.03 and the coefficient of  x2 = - 0.02.

The coefficient of x1 is  positive we can say there is a positive relationship  between x1 and y as the x1  value increases, the y value also increases

If the x1 value increases as 1 unit then the y  value increases as 0.03 unit while x2 keeps constant.

The coefficient of x2 is negative we can say there is a negative relationship between x2 and y as the x2 value increases y  value decreases.

If the x2 value increases as 1 unit then the y value decreases as 0.02 unit while x1 keeps constant.

A dichotomous variable is one that takes on one of just two potential qualities when noticed or estimated. The worth is most frequently a portrayal of a deliberate variable (e.g., mature: under 65/65 and over) or a quality (e.g., orientation: male/female).

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The coordinates of point B are (4, 0)

From the question, we have the following parameters that can be used in our computation:

A = (6, 10)

Midpoint = (5, 5)

The midpoint of a line from its endpoints is calculated using the following equation

Midpoint  = (x₂ + x₁)/2 + (y₂ + y₁)/2

Substitute the known values in the above equation, so, we have the following representation

(5, 5) = (6 + x₁)/2 + (10 + y₁)/2

Multiply by 2

(10, 10) = (6 + x₁) + (10 + y₁)

By comparison, we have

x + 6 = 10

y + 10 = 10

Evaluate

x = 4

y - 0

Hence, the point is (4, 0)

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If alpha specialize in growing apples beta specialize in growing oranges the both could gain profit by the trade is true for the statement

Comparative advantage describes a situation in which a person or a country involved in trade processes may not have an absolute advantage, but can still benefit from trade on a comparative basis.

The nations frequently trade goods based on their comparative advantages so that both parties can benefit from trade.

According to the stated information,

Alpha can produce either 18 oranges or 9 apples per hour, while beta can only produce 16 oranges or 4 apples per hour, it is stated.

so ,If alpha specialize in growing apples and beta specialize in growing oranges the both could gain profit by the trade

Hence, option C is true

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Answer:One fourth

Step-by-step explanation:

In Experiment 1 the probability of each outcome is always the same. The probability of landing on each color of the spinner is always one fourth.

Answer:

Step-by-step explanation:

Answer:

1027

Step-by-step explanation:

Answer:

15, 6

Step-by-step explanation:

x = large number

y = small number

1) x + y = 21

2) x = 21 - y

3) 2x - 2y = 18

substitute equation 2 into equation 3 so you have an expression all in terms of y, then you can solve for y.

2(21-y) - 2y = 18

42 - 2y - 2y = 18

-4y = -24

y = -24/-4 = 6

Now you can solve for x, plug y=6 into equation 1 :

x + 6 = 21

x = 21 - 6 = 15

By combining the methods of row reduction and cofactor expansion the determinant of the given matrix is 1 .

In the question ,

it is given that ,

the matrix is   [tex]\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right][/tex]

we need to compute the determinant using the row reduction that means  using the row values [0 4 1 ] to find the determinant .

using the row [0 4 1]  , the signs on the values on the first row will be  +0, -4 and +1

the by applying the cofactor expansion , determinant will be equal to

= 0 -4[5×1 - 0] + 1[5×3 + 3×2]

= -4(5) + (15 + 6)

= -20 + 21

= 1

Therefore , the determinant is 1 .

The given question is incomplete , the complete question is

Combine the methods of row reduction and cofactor expansion to compute the determinant of the matrix [tex]\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right][/tex]  .

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Since the graph has a line from 0 comma 0 and going through 25 comma 8, C. Yes, it is proportional because it is a line that goes through (0, 0).

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

By critically observing graph of this proportional relationship (see attachment), we can logically deduce that it starts from the origin (0, 0) and as such, it is proportional.

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The area of the remaining paperboard is 246.91 in²

A shape can be cut-out of another shape. For example a circle cut off a rectangle. The area of the remaining part of the shape can be calculated as area of original shape - area of cut-out shape

The area of a rectangle = l×w

= 20×21 = 420in²

a semi circle is the shape cut-out, therefore the area of the semi circle= ½πr²

= ½×3.14× 10.5²= 173.09in²

Therefore the area of the remaining part of the paperboard is 420-173.09= 246.91 in²

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Answer:

[tex]\dfrac{2}{3}x \geq 250[/tex]

Step-by-step explanation:

Let x be the number of students in the senior class.

If two-thirds of the seniors bought prom tickets and a minimum number of 250 tickets needs to be sold, the inequality that models this scenario is:

[tex]\boxed{\dfrac{2}{3}x \geq 250}[/tex]

Solving the inequality:

[tex]\implies \dfrac{2}{3}x \geq 250[/tex]

[tex]\implies 2x \geq 250 \cdot 3[/tex]

[tex]\implies 2x \geq 750[/tex]

[tex]\implies x \geq 750 \div 2[/tex]

[tex]\implies x \geq 375[/tex]

Therefore, there must be at least 375 students in the senior class to ensure they sold enough tickets to keep the venue.

Answer:

To find the amount that the couple needs to invest now, we can use the following formula:

investment = education cost * (1 + interest rate / number of compounding periods per year) ^ (number of years * number of compounding periods per year)

Plugging in the given values, we get:

investment = $40,000 * (1 + 0.055 / 52) ^ (17 * 52)

Solving this equation, we find that the couple needs to invest $11,226.31 now to have $40,000 for the child's education in 17 years. Rounded to the nearest dollar, this is $11,226.

Step-by-step explanation:

The z-score for Johnny’s grade is 1.92.

Johny's score falls into the 97.28 percentile

What is a normal distribution?

The standard deviation determines the width of the curve in a normal distribution, which depicts a symmetrical representation of data around its mean value. It is represented graphically as the "bell curve."

Here, we have

mean = 69.5, std. deviation = 6.5 , x = 82

A. By normal distribution formula,

  z = ( x - mean) / std. deviation

  z = (82 - 69.5) / 6.5

 = 1.92

Hence, the z-score for Johnny’s grade is 1.92.

B. P(z<1.92) = 0.9728

Hence, Johny's score fall into 97.28 percentile.

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The given question is incomplete as the graph is missing.

But, considering a line graph, the following parameters can be represented on the x-axis and y-axis:

X-Axis                                                     Y-Axis

Year                                                         Population

Time                                                         Number of employees hired

Identical items purchased                      Total cost in dollars    

What does the blank observed line represent in each graph?  

The blank observed line represents the time. A line graph is basically used to connect the quantitative values over the different time intervals. The change in values over time is easier to estimate, by the help of the line graph. For example: in a graph showing the year on the x-axis and the population on the y-axis, the blank line represents the change in population over the years, the increase or decrease or the rate of change.  

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Answer:

1

Step-by-step explanation:

Bc I have calculator

Answer:

.0800

Step-by-step explanation:

Dividing by ten will just move the decimal point one position further to the left

To find the value of F1, we can start by writing out the given equations in a more standard form.

First, we can rewrite the equation "F1 + F2 = 100" as "F1 = 100 - F2".

Then, we can rewrite the equation "F1 - F2 = 20" as "F1 = 20 + F2".

If we set these two equations equal to each other, we get "100 - F2 = 20 + F2".

If we simplify this equation, we get "80 = 2 * F2".

If we divide both sides of the equation by 2, we get "40 = F2".

Substituting this value back into either of the original equations, we can find that "F1 = 100 - F2" or "F1 = 100 - 40" which gives us "F1 = 60".

Therefore, the value of F1 is 60.