overall probability of getting 3 cards with the same rank and different suit when drawing with replacement is:

Answer:

a)x+69+73=180°{sum of angle of triangle}

b)

let, another a unknown side be 'p'

p=65°{alternate angle}

65+65+z=180°{sum of angle of triangle.}let ule

130+z=180

z=180-130

z=50°

z=x{alternate angle.}

x=50°

so, x=50°, y=65°, z=50°

c)z+19°=180°{straight angle}

z=180-19

z=161°

d) 67+35+x=180°

x=180-102

x=78°

2)

3x+10+2x-5+x-5=180°{sum of angle of triangle}

6x=180°

x=180/6

x=30°

hope it helps.

Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴

To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.

For the first term x, the derivative is simply 1.

For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.

For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.

Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.

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Complete question:

Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵

(6x + 1)⁵ + 30x(6x + 1)⁴

(6x + 1)⁴ (36x + 1)

x-1/6

No correct answer provided.

(a) 1.50 is an impossible correlation coefficient.

(a) 0.24 is the value of Pearson's r.

Step 1: Identify the impossible correlation coefficient.

The correlation coefficient, also known as Pearson's r, measures the strength and direction of the linear relationship between two variables. The correlation coefficient can range from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation. Therefore, an impossible correlation coefficient is any value outside the range of -1 to +1. In this case, option (d) 1.50 is an impossible correlation coefficient.

Step 2: Calculate the value of Pearson's r.

To calculate Pearson's r, we need the sum of cross products for the z scores (EZXZY) for a sample of 100 people. The given information states that the sum of cross products is 42. By dividing this sum by the sample size (100), we can find the value of Pearson's r. Option (a) 0.24 corresponds to the calculated value.

Step 3: Determine the nature of the relationship based on the information given.

The statement indicates that people who scored above average on variable X tended to also score above average on variable Y, while people who scored below average on variable X tended to score below average on variable Y. This pattern suggests a positive relationship between the two variables. Therefore, option (b) "A positive relationship between the two variables" is the correct answer.

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Answer:

wyatt

Step-by-step explanation:

4:30 mins is 270 seconds

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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Answer:

Step-by-step explanation:

Press this link the answer there

https://brainly.com/question/25430772?answering=true answer feedPublic

Answer:

72.00 =105.6

Step-by-step explanation:

i searched it up

Answer: y-9=-1/8(x-8)

Step-by-step explanation: Hope this helps.

Answer:

C. 9/40

Step-by-step explanation:

sin is opposite over hypotenuse so 9 becomes a leg and 41 is the hypotenuse. To find the other leg you square 9 and 41 and subtract the square of 9 from square of 41. that equals 1600. you then take the square root to get x by itself and that equals 40. tan is opposite/ adjacent. that becomes 9/40

Answer:

The reflection is in the y-axis cause the y point went from -7 to 7 and the x point stayed the same.

Answer:

i say 24,890

Step-by-step explanation:

The number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.

Given that, in 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined be x.

Number of toys sold in 2014 = 12,823

Number of toys sold in 2015 = 12,823 + 24,290

=37,113

The toy store sold the same number of stuffed animals in 2016 as it did in 2015. That is, 37,113.

Now, x = Number of toys sold in 2014 + Number of toys sold in 2015 + Number of toys sold in 2016

=12,823+37,113+37,113

=87,049

Therefore, the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.

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(1) if the loan is paid off after 6 years, the interest paid on the loan is $10,800. (2) $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of ten p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

(a) Using the straightforward interest calculation, we can determine the amount of interest paid on the debt if it is repaid after six years:

I = Prt

where P represents the loan's capital, r represents the interest rate, and t represents the quantity of time (in years).

P is $30 000, r is 6%, and t is 6 years in this example. With these numbers entered into the algorithm, we obtain:

I = 30,000 * 0.06 * 6 = $10,800

Therefore, if the loan is paid off after 6 years, the interest paid on the loan is $10,800.

(b) To calculate the interest saved by paying off the loan after 3 years instead of 6 years, we can calculate the interest paid in both scenarios and then subtract the interest paid at 3 years from the interest paid at 6 years.

If the loan is paid off after 3 years, the total interest paid can be calculated using the same formula as before:

I = 30,000 * 0.06 * 3 = $5,400

By deducting the interest costs at 3 years from of the interest charged at 6 years, we can determine the amount of interest that would have been paid had the debt been repaid after 3 years:

Interest saved = Interest paid at 6 years - Interest paid at 3 years

= 10,800 - 5,400

= $5,400

Therefore, $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

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Answer:

(1,-25)

Step-by-step explanation:

I believe the answer is (1,-25) because when the function is graphed the vertex is at the point x=1 y=-25

The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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Answer:

C

Step-by-step explanation:

Sum of angles in triangle is 180 degrees.

28°+58°+ x= 180 degrees

x=94 degrees

sum of angles on a straight line is 180 degrees

thus, 94 degrees + ? = 180 degrees

?= 86 degrees

angle TGF is 86 degrees

The statement "Conductors of opposite polarities which are run in close proximity to one another produce a heating effect on ferrous metal" is true.

Ferrous metals are metal alloys based on iron. They include a broad range of iron-based alloys, which are commonly used in construction and manufacturing. Some common ferrous metals include cast iron, carbon steel, wrought iron, and alloy steel.

The heating effect of current is the generation of heat due to the flow of electric current in a conductor. It is proportional to the square of the current and the resistance of the conductor, as well as the time the current flows through it.

The Joule's law of heating states that the heat produced in a conductor is proportional to the square of the current passing through it multiplied by the resistance of the conductor. Therefore, the given statement is true.

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y = abᵗ

we know the initial amount is 6300 on 2006, that's on year 0, namely t = 0.

we also know that it became 8200 on 2010, that's 4 years later, namely t = 4.

what would its value be in 2019, well that's t = 13.

\(y = ab^t \\\\[-0.35em] ~\dotfill\\\\ \underset{t=0\hfill }{6300=ab^0}\implies 6300-a(1)\implies 6300=a~\hfill \underline{y=6300b^t} \\\\[-0.35em] ~\dotfill\\\\ \underset{t=4\hfill }{8200=6300b^4}\implies \cfrac{8200}{6300}=b^4\implies \cfrac{82}{63}=b^4\implies \sqrt[4]{\cfrac{82}{63}}=b \\\\\\ ~\hfill \underline{y=6300\left( \sqrt[4]{\frac{82}{63}} \right)^t} \\\\[-0.35em] ~\dotfill\\\\ \textit{when t = 13}\qquad \qquad y=6300\left( \sqrt[4]{\frac{82}{63}} \right)^{13}\implies y\approx 14838.1168\)

Answer: 64 cups

Step-by-step explanation:

1 quart = 4 cups

16 quarts × 4 cups = 64 cups

Answer:

x=5

y=-2

Step-by-step explanation:

even though this looks like they want you to do it elimination ima do substation cause I like that better

2x-y=12

   +y. +y

2x=12+y

-12    -12

2x-12=y

Now we can fill in y

3x+4(2x-12)=7

3x+8x-48=7

11x-48=7

   +48. +48

11x=55

/11. /11

x=5

fill in X to find y

2(5)-y=12

10-y=12

-10. -10

-y=2

y=-2

hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

-2x+8

Answer:

2

Step-by-step explanation:

Step 1: Write out equation g(f(a))

1/√a

Step 2: Plug in 0.25 for a

1/√0.25

You answer should be 2

8 - The diameter of Circle A is twice the diameter of Circle B. 9 - The width of Rectangle A is half the value of π times the radius of Circle B. 10 - If a wheel with a radius of 50 cm rolled for 10 km, it would go around approximately 31,831 times.

8. Let's assume the diameter of Circle B is D, which means the radius of Circle B is D/2. The area of Circle B is then given by \(\[A_B = \pi\left(\frac{D}{2}\right)^2 = \pi\left(\frac{D^2}{4}\right)\]\).

Since the area of Circle A is four times the area of Circle B, we have \(A_A = 4A_B\). Substituting the expression for \(A_B\), we get \(\[A_A = 4\pi\left(\frac{D^2}{4}\right) = \pi D^2\]\). This implies that the area of Circle A is π times the square of the diameter of Circle A.

To find possible diameters for each circle, we need to solve the equation \(A_A = 4A_B\). Let's denote the diameter of Circle A as \(d_A\) and the diameter of Circle B as \(d_B\).

\(\[\pi d_A^2 = 4\pi d_B^2\]\)

\(\[d_A^2 = 4d_B^2\]\)

\(d_A = 2d_B\)

This means the diameter of Circle A is twice the diameter of Circle B.

9. Let's denote the length of Rectangle A as L and the radius of Circle B as r. The area of Rectangle A is given by A_Rectangle = L × W, where W represents the width of the rectangle.

Given that the length of Rectangle A is equal to the radius of Circle B (L = r) and the area of Rectangle A is half the area of Circle B (A_Rectangle = 0.5A_B), we can set up the following equations:

L = r

\(\[L \times W = 0.5\pi r^2\]\)

Substituting L = r into the second equation, we get:

\(\[r \times W = 0.5\pi r^2\]\)

W = 0.5πr

Therefore, the width of Rectangle A is half the value of π times the radius of Circle B. The width is directly proportional to the radius of the circle.

10. The circumference of a wheel is given by the formula C = 2πr, where r is the radius of the wheel. In this case, the radius is 50 cm.

To find out how many times the wheel goes around when it rolls for 10 km, we need to convert the distance traveled into a circumference value.

10 km is equal to 10,000 meters. We need to convert this to centimeters, which gives us 10,000,000 centimeters.

The circumference of the wheel is 2πr = 2π(50) = 100π cm.

Now we can divide the total distance traveled by the circumference of the wheel:

10,000,000 cm ÷ (100π cm) ≈ 31,830.9886

Therefore, the wheel would go around approximately 31,831 times if it rolled for 10 km.

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If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Answer:

(x + 5)² = 2 ==> x² + 10x + 27 = 0

Completing the square of the given quadratic equation leads to the equivalent equation (x + 5)² = -2.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given quadratic equation is,

x² + 10x + 27 = 0

We have the algebraic identity that,

(a + b)² = a² + 2ab + b²

The given quadratic equation is in the form of a² + 2ab + b², where a = x.

So, 2xb = 10x

⇒ b = 5

Now, b² = 25.

So, the given can be written as,

(x² + 10x + 25) + 2 = 0

(x + 5)² = -2

Hence the equivalent form is (x + 5)² = -2.

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The minimum possible value of\(|x-y| |y-z|\) is 4.

Let's start by considering the squares of the numbers x, y, and z. Since their squares form an arithmetic progression with a common difference of 2, we have the following equations:

\(y^2 - x^2 = 2z^2 - y^2 = 2\)

Expanding these equations, we get:

\((y + x)(y - x) = 2(z + y)(z - y) = 2\)

Since \(0 \leq x \leq y \leq z \leq 4\), we can conclude that \(x+y > 0\) and \(y+z > 0\).

Now, let's consider the expression \(|x-y| |y-z|\). We want to find the minimum possible value for this expression.

Sine \(x \leq y \leq z\), the factors \(|x-y|\) and \(|y-z|\) are both non-negative. Therefore, to minimize the expression, we need to minimize each factor individually.

From the equation \((y + x)(y - x) = 2\), we can see that \(y + x > 0\), which implies \(y > -x\). Similarly, from the equation \((z + y)(z - y) = 2\), we have \(z + y > 0\), which implies\(z > -y\).

Combining these inequalities, we get \(y > -x\) and \(z > -y\), which further simplifies to \(y > x\) and \(z > y\).

Therefore, the minimum possible value of\(|x-y| |y-z|\)occurs when\(x = 0\), \(y = 2\), and \(z = 4\), as this configuration satisfies the given conditions.

Substituting these values into the expression, we have \(|x-y| |y-z| = |0-2| |2-4| = 2 \cdot 2 = 4\).

Hence, the minimum possible value of \(|x-y| |y-z|\) is 4.

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Answer:

10

Step-by-step explanation:

50*0.2 = 10

Step-by-step explanation:

20%×50

use p% =P

10

200× 50

100

1×5= 50

Answer= 10

Answer:

100 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees, so,

45+35=80

180-80=100

hope this helps!!!

Solution:

We know that:

Finding the area of the circle:

\( \large{|\underline{\mathbb{\red{G}\blue{I}\orange{V}\pink{E}\blue{N}\purple{}\green{ : }\red{}\blue{}\orange{-}}}}\)

\( \large{|\underline{\mathbb{\red{T}\blue{O }\orange{ \: }\pink{ F}\blue{I}\purple{N}\green{D }\red{ : }\blue{ - }\orange{-}}}}\)

\( \underbrace{\mathbb{CALCULATION}}\)

\( \qquad \sf \dashrightarrow \: Area\:of \:circle = \pi {r}^{2} \)

\( \qquad \sf \dashrightarrow \: Area\:of \:circle = 3.14 \times {18}^{2} \)

\( \qquad \sf \dashrightarrow \: Area\:of \:circle = 3.14 \times 324\)

\( \qquad \sf \dashrightarrow \: Area\:of \:circle = 1017.36\)

Thus, The area of the circle is 1017.36 yard²...~