According to a popular model of temperament forwarded by Buss and Plomin, how many general temperaments are there

Answer:

188.57 cm³

Step-by-step explanation:

Half sphere = 1/2 volume sphere

Sphere = 4/3 * 22/7 * 3³

Sphere = 4/3 * 22/7 * 27/1

Sphere = 2376/21 = 113.14

113.14 / 2 = 56.57

Cone = 22/7 * 3² * h/3

Cone = 22/7 * 9/1 * 14/3

Cone = 2772/21 = 132

132 + 56.57 = 188.57 cm³

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Answer:

about 13.4cm^3

Step-by-step explanation:

multiply 14x3 divided by 3.14

Answer:

1. length×width × height

4×9×10

=360cm

2.base×height

36×65

=2340 inches

C

x = 50

If the two angles add up to 140 then that means 40° + 2x° equals 140

Set up an equation from that evaluation and solve

40 + 2x = 140

Subtract 40 from both sides

2x = 100

Divide both sides by two

x = 50

Hope this helps.

To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values.

The highest value represents the maximum, while the lowest value represents the minimum.

To determine the maximum and minimum of a function, follow these steps:

Find the critical points of the function by finding where its derivative equals zero or is undefined.

Determine the endpoints of the interval you are considering, if applicable.

Analyze the function at its starting and ending locations.

The highest value represents the maximum, and the lowest value represents the minimum.

Let's consider an example using the function f(x) = x^2 - 4x + 3 over the interval [0, 5].

Find the critical points:

Take the derivative of the function: f'(x) = 2x - 4.

Set the derivative equal to zero: 2x - 4 = 0.

Solve for x: 2x = 4,

x = 2.

The critical point is x = 2.

Determine the endpoints:

In this case, the endpoints of the interval are x = 0 and x = 5.

Evaluate the function:

Calculate f(0) = (0)^2 - 4(0) + 3

= 3.

Calculate f(2) = (2)^2 - 4(2) + 3

= -1.

Calculate f(5) = (5)^2 - 4(5) + 3

= -7.

Determine the maximum and minimum:

The highest value is 3, which occurs at x = 0. Therefore, the maximum value is 3.

The lowest value is -7, which occurs at x = 5. Therefore, the minimum value is -7.

To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values. The highest value represents the maximum, while the lowest value represents the minimum. It is important to consider the given interval to ensure that the maximum and minimum values are within the specified range.

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The inequality that shows how much can be added to the regular size for a drink that costs under $4.00 is given as follows:

2.25 + 0.25n < 4.

The drink costs $2.25, plus each of the n additionals cost $0.25, hence the total cost is given as follows:

T(n) = 2.25 + 0.25n.

For a cost under $4, the cost must be less than $4, hence the inequality is given as follows:

2.25 + 0.25n < 4.

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The value of expression (39 × 5) is 195

In this question, we have been given an expression  (39 × 5).

We need to find the distributive Property to simplify (39 × 5).

Consider given expression  (39 × 5).

The factors of 39 are:

39 = 13 * 3

Using distributive property,

(39 × 5)

= (13 * 3) * 5

= 13 * (3 * 5)

= 13 * 15

= 195

Therefore, the value of expression (39 × 5) is 195

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If lines A, B and C shows proportional relationships, then the line A has a constant of proportionality between y and x is 5

Given the line A, B and C

The constant of proportionality is the ratio of the y coordinates to the x coordinate

k = y /x

Where k is the constant of proportionality

Consider the line A

One point on the line = (1, 5)

Constant of proportionality K = 5/1

= 5

Consider the line B

One point on the line = (3, 5)

Constant of proportionality k = 5/3

Consider the line C

One point on the line = (7, 5)

Constant of proportionality = 5/7

Therefore, the line A has the constant of proportionality of 5

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The given question is incomplete, the complete question is

Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 5?

Answer:

16

Step-by-step explanation:

The ratio fo the lengths of the sides of a 30-60-90 triangle is

short leg  :  long leg  : hypotenuse

      1        :    sqrt(3)    :         2

In a 30-60-90 triangle, the length of the short leg is the length of the long leg divided by sqrt(3).

The length of the short leg is 8 cm.

The length of the hypotenuse is twice the length of the short leg.

g = 2 * 8 cm = 16 cm

As the figure is made for 6 squares, the total area of the figure divided into 6 is the area of one square:

The area of one square is 15 square feet.

The area of a square is equal to the square lenght

Then, as the given squares have area of 15 square feet the measure of the lenght of one square is:

Then, as each side of each square is square root of 15 feet you have the next:

The perimeter of the figure is the sum of all the sides: The figure has 12 sides: 2 sides have a measure of 2square root of 15 feet and the other 10 sides have a measure of square root of 15 feet:

Therefore, the probability of drawing exactly 3 aces, 2 queens, and 1 king is approximately 0.000682.

We can solve this problem using the multiplication rule for independent events. The probability of drawing a specific card from a standard deck is 1/52, since there are 52 cards in the deck and each is equally likely to be drawn. We can use this probability to find the probability of drawing a specific combination of cards.

(a) To find the probability of drawing exactly 3 aces, 2 queens, and 1 king, we can break it down into three steps:

Find the probability of drawing exactly 3 aces: There are 4 aces in the deck, so the probability of drawing an ace on the first draw is 4/52. Since we need exactly 3 aces, the probability of drawing 3 aces and 3 non-aces (out of the remaining 48 cards) is given by the binomial probability formula:

P(3 aces) = (4/52)^3 * (48/52)^3 * C(6,3)

where C(6,3) is the number of ways to choose 3 cards out of 6. Using a calculator, we get:

P(3 aces) = 0.0080

Find the probability of drawing exactly 2 queens: There are 4 queens in the deck, so the probability of drawing a queen on the first draw is 4/52. Since we need exactly 2 queens, the probability of drawing 2 queens and 4 non-queens (out of the remaining 48 cards) is given by:

P(2 queens) = (4/52)^2 * (48/52)^4 * C(6,2)

where C(6,2) is the number of ways to choose 2 cards out of 6. Using a calculator, we get:

P(2 queens) = 0.2123

Find the probability of drawing exactly 1 king: There are 4 kings in the deck, so the probability of drawing a king on the first draw is 4/52. Since we need exactly 1 king, the probability of drawing 1 king and 5 non-kings (out of the remaining 48 cards) is given by:

P(1 king) = (4/52)^1 * (48/52)^5 * C(6,1)

where C(6,1) is the number of ways to choose 1 card out of 6. Using a calculator, we get:

P(1 king) = 0.4017

Now we can use the multiplication rule to find the probability of drawing exactly 3 aces, 2 queens, and 1 king:

P(exactly 3 aces, 2 queens, 1 king) = P(3 aces) * P(2 queens) * P(1 king)

= 0.0080 * 0.2123 * 0.4017

= 0.000682

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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As σx (standard deviation) remains unchanged, the value of x alone cannot determine the effect on sample mean. It depends on the value of x relative to the values in original sample and sample size.

If one new person is added to the sample and the standard deviation (σx) remains unchanged, the effect on the sample mean (m) can be determined as follows:

Let's denote the original sample size as n and the sum of the sample values as Σx.

Original sample mean:

m = Σx / n

After adding the new person, the new sample size becomes n + 1, and the sum of the sample values becomes Σx + x_new (x_new represents the value of the new person).

New sample mean:

m' = (Σx + x_new) / (n + 1)

To analyze the effect, we can express the difference in means:

Δm = m' - m = ((Σx + x_new) / (n + 1)) - (Σx / n)

Simplifying this expression, we get:

Δm = (x_new - (Σx / n)) / (n + 1)

Therefore, the effect of adding the new person on the sample mean (m) is determined by the difference between the value of the new person (x_new) and the original mean (Σx / n), divided by the increased sample size (n + 1).

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Answer:

240 mL.

Step-by-step explanation:

The following data were obtained from the question:

Ratio of Flour = 5

Ratio of brown sugar = 3

Ratio of chocolate = 4

Total volume = 720 mL

Next, we shall determine the total ratio. This can be obtained as follow:

Total ratio = ratio of flour + ratio of brown sugar + ratio of chocolate

Total ratio = 5 + 3 + 4

Total ratio = 12

Finally, we shall determine the volume of the chocolate chips in the mixture as shown below:

Volume of chocolate chips = ratio of chocolate /total ratio x total volume

Ratio of chocolate = 4

Total ratio = 12

Total volume = 720 mL

Volume of chocolate chips =..?

Volume of chocolate chips = ratio of chocolate /total ratio x total volume

Volume of chocolate chip = 4/12 x 720

Volume of chocolate chip = 240 mL

Therefore, the volume of the chocolate chips in the mixture is 240 mL.

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

The ogive is a line graph that plots the cumulative relative frequency distribution.

An ogive, also known as a cumulative frequency polygon, is a line graph that shows the cumulative frequency distribution of a data set. The cumulative frequency is calculated by adding up the frequencies of each value up to a certain point in the data set.

The cumulative relative frequency is calculated by dividing the cumulative frequency by the total number of observations in the data set. The ogive plots these cumulative relative frequencies against the corresponding values in the data set, usually on the x-axis.

By plotting the cumulative relative frequencies, the ogive shows how the data is distributed over the entire range of values. It can be used to identify patterns in the data, such as whether it is skewed or symmetrical. It is also useful for determining percentiles, as the percentile for a given value can be read directly from the ogive.

Overall, the ogive is a helpful tool for summarizing and visualizing the distribution of a data set, particularly when dealing with large data sets or complex distributions.

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The diagonal V2 of the square will be √2 feet.

What are squares?

A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.

The most important properties of a square are listed below:

Area of square=(side)²

Perimeter of square=4*side

Now,

as side=1 foot

By applying Pythagorean theorem,

Diagonal²=side²+side²

therefore,

V2²=1²+1²

=2

V2= √2 feet

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Answer:

142.5 ft^2

Step-by-step explanation:

You need to calculate each figure separately

area of the first rectangle = 5 x 4 = 20

area of the second rectangle = (5+6)x(4) = 44

area of 1/4 circle =  1/4π(10^2) = (1/4) x 3.14 x 100 = 78.5

area of figure: 78.5 + 20 + 44 = 142.5

Answer:

To find the area of this figure, we need to first determine its shape. The lengths given do not form a clear shape, so we need more information to determine the shape.

Assuming that the shape is a trapezoid with the bases of 6ft and 10ft, and a height of 5ft, we can use the formula for the area of a trapezoid:

Area = (b1 + b2) / 2 * h

where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.

Plugging in the values, we get:

Area = (6ft + 10ft) / 2 * 5ft

Area = 8ft * 5ft

Area = 40 sq ft

Area ≈ 3.73 sq m (rounded to two decimal places)

Therefore, the area of this figure is approximately 3.73 square meters.

(If it wasn't in decimals, it would be 40 square feet.)

Hopefully this helped! I'm sorry if it's wrong. If you need more help, ask me! :]

Sum of squares of sample means about the grand mean is 6463.27 .

Firstly,

SS(error) = SS(total) - SS(treatments)

=8474.79-2011.52

=6463.27

Now,

df (treatments)=SS (treatments) / MS (treatments)

= 2011.52/287.36

= 7

Now,

df (error) = 18-7

=11

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Calculation table and question table is attached below .

The system has infinitely many solutions our answer may use expressions involving the parameters r, s, and t is x₁ = 2s.

To solve the given system of linear equations, we can use the augmented matrix and perform row operations to transform it into row-echelon form. Let's set up the augmented matrix:

\(\left[\begin{array}{ccccc} 0&3&-9& | &-3 \\ 1 & -2 & 1 & | &2 \\ 0 & 1 & -3 & | &0 \end{array}\right] \\\)

We'll perform row operations to simplify the matrix and bring it into row-echelon form:

Swap rows R₁ and R₂ to have a nonzero pivot in the first column:

\(\left[\begin{array}{ccccc}1&-2& 1 & | & 2 \\ 0 & 3 & -9 & | & -3\\0&1&-3 & | & 0\end{array}\right] \\\)

Multiply R₁ by 3 and add it to R₂:

\(\left[\begin{array}{ccccc}1&-2& 1 & | & 2 \\ 0 & 0 & -6 & | & 3\\0&1&-3 & | & 0\end{array}\right] \\\)

Multiply R₂ by -1/6 to make the pivot in R₂ equal to 1:

\(\left[\begin{array}{ccccc}1&-2& 1 & | & 2 \\ 0 & 0 & 1 & | & -\frac{1}{2}\\0&1&-3 & | & 0\end{array}\right] \\\)

Multiply R₃ by 2 and add it to R₁:

\(\left[\begin{array}{ccccc}1&-2& 0 & | & 2 \\ 0 & 0 & 1 & | & -\frac{1}{2}\\0&1&-3 & | & 0\end{array}\right] \\\)

Multiply R₃ by -1 and add it to R₂:

\(\left[\begin{array}{ccccc}1&-2& 0 & | & 2 \\ 0 & 0 & 1 & | & -\frac{1}{2}\\0&0&-3 & | & 0\end{array}\right] \\\)

Multiply R₃ by -1/3 to make the pivot in R₃ equal to 1:

\(\left[\begin{array}{ccccc}1&-2& 0 & | & 2 \\ 0 & 0 & 1 & | & -\frac{1}{2}\\0&0&1 & | & 0\end{array}\right] \\\)

Multiply R₂ by 2 and add it to R₁:

\(\left[\begin{array}{ccccc}1&-2& 0 & | & 0 \\ 0 & 0 & 1 & | & 0\\0&0&1 & | & 0\end{array}\right] \\\)

Multiply R₃ by -1 and add it to R₁:

\(\left[\begin{array}{ccccc}1&-2& 0 & | & 0 \\ 0 & 0 & 1 & | & 0\\0&0&1 & | & 0\end{array}\right] \\\)

Now, let's interpret this row-echelon form back into a system of equations:

1 x 1 - 2 x 2 + 0 x 3 = 0

0 x 1 + 0 x 2 + 1 x 3 = 0

0 x 1 + 0 x 2 + 1 x 3 = 0

Simplifying further, we get:

x₁ - 2x₂ = 0

x₃ = 0

x₃ = 0

From the third equation, we can see that x₃ is a free variable and can take any value.

Using x₃ = 0 in the second equation, we have:

0 = 0

This equation is satisfied for any value of x₂, so x₂ is also a free variable.

Using x₃ = 0 and x₂ = s (where s is a parameter) in the first equation, we have:

x₁ - 2s = 0

x₁ = 2s

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To summarize: The value of n can be found by solving the equation 3 x aaa = n(n+1), subject to the condition that either n or (n+1) is a multiple of 3. The value of N is 4n(n+1). The digit a must be even, since N is a multiple of 12 and the last digit of N is even.

We are given a series of numbers that add up to N. Each term in the series is 8 more than the previous term, and there are n terms in total. So we can write:

N = 8 + 16 + 24 + ... + 8n

To find the sum of this arithmetic sequence, we can use the formula for the sum of an arithmetic sequence:

Sn = n/2(2a + (n-1)d)

where Sn is the sum of the first n terms, a is the first term, and d is the common difference between terms.

In this case, a = 8 and d = 8, since each term is 8 more than the previous term. So we can write:

N = 8 + 16 + 24 + ... + 8n

= n/2(2(8) + (n-1)(8))

Simplifying:

N = n/2(16 + 8n - 8)

= n/2(8n + 8)

= 4n(n+1)

We are also given that N can be written in the form aaa (base 10)x12. This means that N is a multiple of 12, since x12 is equivalent to multiplying by 12. So we can write:

N = 12 x aaa (base 10)

Substituting this expression for N in the equation we derived earlier, we get:

12 x aaa = 4n(n+1)

Dividing both sides by 4, we get:

3 x aaa = n(n+1)

This tells us that n(n+1) must be a multiple of 3, since 3 times aaa is an integer. Therefore, either n or (n+1) must be a multiple of 3.

We can also use the fact that N is a multiple of 12 to determine the last digit of N. Since N is a multiple of 12, the last digit of N must be even. Therefore, a must be an even digit.

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Answer:

KL = 40.5

Step-by-step explanation:

From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem,

⅔ of KL = LP

LP = 27

Plug in the value of LP

⅔(KL) = 27

Multiply both sides by 3

2(KL) = 3*27

2(KL) = 81

Divide both sides by 2

KL = 81/2

KL = 40.5

Answer:

You would end at (3, 3).

Explanation:

You would plot your first mark at 3 on a typical xy graph because the first number in ()'s is always x (horizontal line).

Second, because your second mark is y (vertical line), you would plot -2 on the vertical axis.

Your y plot would be 5 more than -2 because you're traveling up five units, giving you (3, 3).

Answer:

Perimeter = 16x-20 units

Step-by-step explanation:

Given: 16x^2 - 40x + 25

Reduce perfect square trinomial: (4x-5)(4x-5)

4x-5 is your side length. Since the perimeter of a square is 4s, then the perimeter is 4(4x-5)=16x-20

Answer:

Step-by-step explanation:

a=0.5

Answer

Questions 9, answer is 4

Explanation

Question 9

Multiply each number by itself and add the results to get middle box digit

1 × 1 = 1.

3 × 3 = 9

5 × 5 = 25

7 × 7 = 49

Total = 1 + 9 + 25 + 49 = 84

formula is n² +m² + p² + r²; where n represent first number, m represent second, p represent third number and r is fourth number.

5 × 5 = 5

2 × 2 = 4

6 × 6 = 36

empty box = ......

Total = 5 + 4 + 36 + empty box = 81

65 + empty box= 81

empty box= 81-64 = 16

since each number multiply itself

empty box= 16 = 4 × 4

therefore, it 4

Answer:

142 506

Step-by-step explanation:

here the order does not matter

Then

we the number of sets is equal to the number of combinations.

Using the formula :

the number of sets is 30C5

\(C{}^{5}_{30}=\frac{30!}{5!\left( 30-5\right) !}\)

      \(=142506\)

There are 142506 ways in which 5 students can be selected out of 30 students.

The selection of 5 students out of 30 students can be achieved with the use of combination since the order of selection is not required to be put into consideration.

By using the formula:

\(\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}\)

where;

\(\mathbf{^nC_r = \dfrac{30!}{5!(30-5)!}}\)

\(\mathbf{^nC_r = \dfrac{30!}{5!(25)!}}\)

\(\mathbf{^nC_r = 142506}\)

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Answer:

x is equal to 2

Step-by-step explanation:

simplify the equation

distribute the 0.3

0.3*4-0.3x=x-1.4

1.2-0.3x=x-1.4

get x by itself on one side

1.2+1.4=x+0.3x

simplify

2.6=1.3x

2=x

Total marbles = 13

Number of yellow = 2

probability of getting yellow = 2/13

Answer:

Its B.

Step-by-step explanation:

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