recently, mario's tantrums seem to last longer. which data recording procedure might be the best one to use to determine this? duration partial interval whole interval time sampling

Answer:

Number of points need = 6 points

Step-by-step explanation:

Given:

New average = 5

Points peter has = 44

Total quiz play = 9

Find:

Points required for average of 5

Computation:

Total number of match = 9 + 1

Total number of match = 10

Average points = 5

Assume;

Number of points need = x

So,

Average points = [Total points] / Total number of match

5 = [44+x] / 10

50 = 44 + x

x = 6

Number of points need = 6 points

The score does Peter needs on his tenth and final quiz in order to have a final quiz average of 5 is 6 and this can be determined by using the formula of average.

Given :

Peter scored a total of 44 points on 9 math quizzes.

The following steps can be used in order to determine the score of the tenth quiz:

Step 1 - The formula of average can be used in order to determine the score of the tenth quiz.

Step 2 - According to the given data, Peter scored a total of 44 points on 9 math quizzes. Now, let the score of the final tenth quiz be 'x'.

Step 3 - The average of the 10 quizzes is given by:

\(\dfrac{44 + x }{10}=5\)

Step 4 - Simplify the above expression in order to determine the value of 'x'.

50 = 44 + x

x = 6

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Answer:

 A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5.

Answer: B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(4x + 11) is an exterior angle of the triangle , then

4x + 11 = 3x - 24 + 2x

4x + 11 = 5x - 24 ( subtract 5x from both sides )

- x + 11 = - 24 ( subtract 11 from both sides )

- x = - 35 ( multiply both sides by - 1 )

x = 35 → A

Answer:

12ft

Step-by-step explanation:

You need length and that is long so 1 cm=4ft and so...

3*4

=12 ft

Answer:

please give me brillriant answer

Recall that in Linear Functions, we wrote the equation for a linear function from a graph. Now we can extend what we know about graphing linear functions to analyze graphs a little more closely. Begin by taking a look at Figure 8. We can see right away that the graph crosses the y-axis at the point (0, 4) so this is the y-intercept.

Answer:

π is irrational.

Step-by-step explanation:

That means that π goes on forever. Take a look at its digits. 3.14...

Can you see an unpredictable pattern?

To yield $26,000 in the future, compounded semiannually at an interest rate of 6%, a lump sum investment needs to be made today. The correct amount to invest can be calculated using the present value formula.

The present value formula can be used to calculate the amount that should be invested today to achieve a specific future value. The formula is given by:

PV = FV / (1 + r/n)^(n*t)

In this case, the future value (FV) is $26,000, the interest rate (r) is 6%, and the compounding is semiannually (n = 2). We need to solve for the present value (PV).

Using the formula and substituting the given values:

PV = 26,000 / \((1 + 0.06/2)^(2*1)\)

PV = 26,000 / \((1.03)^2\)

PV = 26,000 / 1.0609

PV ≈ $24,490.92

Therefore, the correct lump sum to invest today, at 6% compounded semiannually, to yield $26,000 in the future is approximately $24,490.92.

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Answer:

4th option

Step-by-step explanation:

Answer:

\(11^{\frac{1}{2} }\)

Step-by-step explanation:

The rational exponent form is as the pictures show. (The first one just shows random examples).

Hope it helps!

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

4. is correct.

Step-by-step explanation:

Answer:

p =43

Step-by-step explanation:

Finding the angle in a triangle

The angle next to 133, angle a,  is 180-133 = 47 because the angles form a straight line

The angle next to 90, angle b, is 180-90 = 90,  because the angles form a straight line

We have a triangle.  The angles in a triangle equal 180 degrees

a+b+ p =180

47+90+p = 180

137 + p = 180

p = 180-137

p =43

Step-by-step explanation:

9z-6+7z=16z-6

16z-6=16z-6

16z-16z=-6+6

0=0

(a) The eigenvalues of the rotation matrix T by π/3 are (1/4) + √3/4 and (1/4) - √3/4 with corresponding eigenvectors [-√3/2, 1/2] and [√3/2, 1/2].

(b) The eigenvalue 1 is always present for any rotation matrix T in R3 around an axis L, with the corresponding eigenspace being the subspace of R3 spanned by all vectors parallel to L.

(a) The matrix representation of the linear transformation T: R2 → R2, rotation by π/3 is:

T = \(\begin{bmatrix} \cos(\pi/3) & -\sin(\pi/3) \\ \sin(\pi/3) & \cos(\pi/3) \end{bmatrix}$\)

The characteristic polynomial of T is given by:

det(T - λI) = \($\begin{bmatrix} \cos(\pi/3)-\lambda & -\sin(\pi/3) \\ \sin(\pi/3) & \cos(\pi/3)-\lambda \end{bmatrix}$\)

Expanding the determinant, we get:

det(T - λI) = λ² - cos(π/3)λ - sin²(π/3)

= λ² - (1/2)λ - (3/4)

Using the quadratic formula, we can solve for the eigenvalues:

λ = (1/4) ± √3/4

Therefore, the eigenvalues of T are (1/4) + √3/4 and (1/4) - √3/4.

To find the corresponding eigenvectors, we can solve the system (T - λI)x = 0 for each eigenvalue.

For λ = (1/4) + √3/4, we have:

(T - λI)x = \($\begin{bmatrix} \cos(\pi/3) - (1/4+\sqrt{3}/4) & -\sin(\pi/3) \\ \sin(\pi/3) & \cos(\pi/3) - (1/4+\sqrt{3}/4) \end{bmatrix}$\)

Row reducing the augmented matrix [T - λI | 0], we get:

\($\begin{bmatrix} -\sqrt{3}/2 & -1/2 & | & 0 \\ 1/2 & -\sqrt{3}/2 & | & 0 \\ 0 & 0 & | & 0 \end{bmatrix}$\)

Solving for the free variable, we get:

x = \($t\begin{bmatrix} -\sqrt{3}/2 \\ 1/2 \end{bmatrix}$\)

Therefore, the eigenvector corresponding to λ = (1/4) + √3/4 is [-√3/2, 1/2].

Similarly, for λ = (1/4) - √3/4, we have:

(T - λI)x = [cos(π/3) - (1/4 - √3/4) -sin(π/3)]

[sin(π/3) cos(π/3) - (1/4 - √3/4)]

Row reducing the augmented matrix [T - λI | 0], we get:

\($\begin{bmatrix} \sqrt{3}/2 & -1/2 \\ 1/2 & \sqrt{3}/2 \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 0 \ 0 \end{bmatrix}$\)

Solving for the free variable, we get:

x = \($t\begin{bmatrix} -\sqrt{3}/2 \\ 1/2 \end{bmatrix}$\)

Therefore, the eigenvector corresponding to λ = (1/4) - √3/4 is [√3/2, 1/2].

(b) The axis L is an invariant subspace of T, which means that any vector parallel to L is an eigenvector of T with eigenvalue 1. This is because rotation around an axis does not change the direction of vectors parallel to the axis.

Therefore, λ = 1 is always an eigenvalue of T. The corresponding eigenspace is the subspace of R3 that is spanned by all vectors parallel to L.

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Answer:

3

Step-by-step explanation:

Mode is what number occurs the most in data or in this question which number contains the most X's

Answer:

3 is the mode of the data set shown

Step-by-step explanation:

What is shown in the picture is called a data set. What we need to find is the mode. The mode, is the number shown in the data the most. Each x shown represents how many times the number below it shows in the data set. So, all we need to do is find the column with the most x's.

Through doing this, we can see that the column of 3, has the most x's (4 x's). Meaning that 3 is the mode of the data.

3.

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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The roots of the polynomial equation are x = −1, 1/3, and 3.

A polynomial equation is a mathematical equation in which the polynomial is set to zero. The equation is made up of variables, non-negative integer exponents, coefficients, arithmetic operations, and an equal sign.

Finding the value(s) of 'x' that satisfy the polynomial equation p(x) = 0 is all that is required to solve the problem. A number "a" is a polynomial p(x) "zero" if and only when p(a) = 0. 

Given that:

3x³- 7x² - 7x + 3 = 0

Factor the left side of the equation.

(x + 1) (3x − 1)(x − 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x + 1 = 0

3x − 1 = 0

x − 3 = 0

Set x + 1 equal to 0 and solve for x; x = - 1

Set 3 x − 1 equal to 0 and solve for x; x = 1/3

Set x − 3 equal to 0 and solve for x;  x = 3

The final solution is all the values that make (x + 1)(3 x − 1)( x − 3) = 0 true is x = −1, 1/3, 3.

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The margin of error at the 99% confidence interval is 1.39%. Interpretation: we can be 99% confident that the true proportion of viewers under 30 in the population falls within the range of 30% ± 1.39%.

To calculate the margin of error at the 99% confidence interval, we can use the formula:

Margin of error = z* × √(p × (1 - p) / n)

where z* is the critical value (2.576 for a 99% confidence interval), p is the sample proportion (0.30), and n is the sample size (5000).

Margin of error = 2.576 × √(0.30 × (1 - 0.30) / 5000) ≈ 0.0139 or 1.39%

The interpretation of this result is that we can be 99% confident that the true proportion of viewers under 30 in the population falls within the range of 30% ± 1.39%. In other words, if we were to conduct the survey multiple times, we would expect the proportion of viewers under 30 to fall within this interval 99 out of 100 times. This information is useful for understanding the level of uncertainty in the survey results and can help guide decision-making based on the findings.

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Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = \(\sqrt{A^{2} + B^{2} -2AB cos(c) }\)

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = \(\sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60) }\)

C = \(\sqrt{250000 + 90000 - [215000 cos(60) }]\)

C = \(\sqrt{340000 - [215000 * 0.5 }]\)

C = \(\sqrt{340000 - [107500 }]\)

C =\(\sqrt{232500}\)

C = 482 km

The bearing can be gotten by using the Sine Rule.

\(\frac{sina}{A}\) = \(\frac{sinc}{C}\)

sina/500 = sin60/482

482 sina = 500 sin60

sina = \(\frac{500 sin60}{482}\)

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

answers:

1. 92,862

2. 9,774

3. 60,750

4. 60,705

5. 42,581

its in order like u put it in THE SAME ORDER.

Answer:

w = -12

Step-by-step explanation:

You basically have 90% of the question done. You just needed to divide -60 by 5 and then get -12.

Good Luck!!!!!

=====================================================

Explanation:

You're on the right track. You start off subtracting 35 from both sides, and then next divide both sides by 5. Your steps are 100% correct. The last thing to do is to simplify each side after what you wrote. The -60/5 on the left simplifies to -12, while the 5w/5 on the right simplifies to w. We end up with -12 = w and that's the same as w = -12.

--------------

To verify, replace every copy of 'w' with -12 in the original equation and simplify each side.

-25 = 35 + 5w

-25 = 35 + 5(-12)

-25 = 35 - 60

-25 = -25

We end up with the same thing on both sides, so the answer is confirmed.

Answer:

16.56.135

Step-by-step explanation:

In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

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To find the length and width of a rectangle with the minimum perimeter given an area of 81 cm², the rectangle should be a square with side length 9 cm.

Let's assume the length of the rectangle is L cm and the width is W cm. We are given that the area of the rectangle is 81 cm², so we have the equation L * W = 81.

To find the minimum perimeter, we need to minimize the sum of all sides, which is 2L + 2W. Since we have the equation L * W = 81, we can express one variable in terms of the other, for example, L = 81/W.

Substituting this into the perimeter equation, we get P = 2(81/W) + 2W = 162/W + 2W.

To find the minimum perimeter, we need to find the value of W that minimizes P. To do this, we take the derivative of P with respect to W, set it equal to zero, and solve for W.

dP/dW = -162/W² + 2 = 0

Simplifying, we have -162 + 2W² = 0, which leads to W² = 81. Taking the positive square root, we get W = 9.

Substituting this value back into the area equation, we find L = 81/9 = 9.

Therefore, the rectangle with the minimum perimeter given an area of 81 cm² is a square with side length 9 cm.

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Simplifying the expression, we can find the time it will take for the newer pump to drain the pool on its own.

If two pumps can drain a pool together in a certain number of hours and it takes the older pump a certain number of hours to drain the pool alone, we can determine how long it will take the newer pump to drain the pool on its own.

Let's assume that the older pump can drain the pool alone in x hours. The rate of the older pump is 1/x of the pool drained per hour. If two pumps can drain the pool together in y hours, their combined rate is 1/y of the pool drained per hour.

Now, to find the rate of the newer pump, we subtract the rate of the older pump from the combined rate of both pumps:

1/y - 1/x = 1/t

Here, t represents the time it would take for the newer pump to drain the pool on its own. By rearranging the equation, we can solve for t:

1/t = 1/y - 1/x

To find t, we can take the reciprocal of both sides of the equation:

t = 1 / (1/y - 1/x)

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The perimeter of the figure in this problem is given as follows:

P = 36.6.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

For this problem, three of the lengths are quite straightforward, as follows:

10, 4 and 10.

The fourth length is half the circumference of a circle of diameter 4 = radius 2, hence it is given as follows:

C = 2πr

C = 4π.

C = 12.6.

Hence the perimeter of the figure is given as follows:

P = 10 + 4 + 10 + 12.6

P = 36.6.

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Answer:

4,000

Step-by-step explanation:

1 kilo = 1,000 meters.

Answer:

(a) 1.18

(b) 99.71

Step-by-step explanation:

to know the value of q in degrees we can use cosine of q

\(\cos (q) = \frac{OR}{OQ}\\\\\cos (q) = \frac{5}{13}\\\\q = \cos^{-1}(\frac{5}{13})\\\\q \approx 67.38\)

now to radians

the formula is

\(x\times\frac{2\pi}{360}\\\\\)

with x the degrees

\(67.38\times \frac{2\pi}{360}\\\\=\frac{67.38\pi}{180}\\\\\approx 0.374\pi\\\\\approx 1.18\)

so the measure of angle q is 1.18 radians

so now for part b

\(A = \frac{r^2 \alpha }{2}\\\\\)

with \(\alpha\) being the central angle in radians

for degrees is the following

\(A = \frac{\theta}{360}\times \pi r^2\)

so we have

\(A = \frac{13^2 (1.18)}{2}\\\\A = 99.71\)cm^2