Which of the following show the Associative Property of Addition? WILL MARK BRAINIEST

3 – (6 + 10) = (3 – 6) + 10
3 + (6 + 10) = (3 + 6) + 10
3(6 + 10) = 3 • 6 + 3 • 10
3 • (6 • 10) = (3 • 6) • 10

Answer:

Step-by-step explanation:

30*20%= 6 so $6.00 tip

Total with tip is $36.00

Answer:

36

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

8x +3 = 59

8x= 56

/8

x = 7

The direction in which a parabola opens is determined by the coefficient of the x² term in its equation. In the given equation, f(x) = 3x² - 6x + 1, the coefficient of the x² term is 3.

When the coefficient is positive, as it is in this case (3 > 0), the parabola opens upward. This means that the vertex of the parabola represents the minimum point on the graph.

To further understand this, we can analyze the quadratic equation associated with the parabola, which is obtained by setting f(x) equal to zero:

3x² - 6x + 1 = 0.

Using the quadratic formula, we can find the x-coordinate of the vertex, which is given by x = -b/2a. Plugging in the values from the equation, we get

x = -(-6)/(2(3)) = 1.

Substituting this x-coordinate back into the original equation, we can find the y-coordinate of the vertex:

f(1) = 3(1)² - 6(1) + 1 = -2.

Therefore, the vertex of the parabola is located at the point (1, -2), and since the coefficient of the x² term is positive, the parabola opens upward, with its vertex representing the minimum point on the graph.

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Answer:

150-50-p=75

Step-by-step explanation:

Answer:

150 − 50 + 75 = p

Step-by-step explanation:

I am too lazy to do the explantion so bye!

The critical value of 2.576. If |z| > 2.576, reject the null hypothesis; otherwise, fail to reject the null hypothesis.

To test the manufacturer's claim at a 1% significance level, we need to perform a hypothesis test. Let's define the null and alternative hypotheses:

Null hypothesis (H₀): The medicine is 90% effective in relieving backache.

H₀: p = 0.9

Alternative hypothesis (H₁): The medicine is not 90% effective in relieving backache.

H₁: p ≠ 0.9

Where p represents the true proportion of people who experience relief from backache after taking the medicine.

To conduct the hypothesis test, we will use the sample proportion and perform a z-test.

Calculate the sample proportion:

p = x/n

where x is the number of people who experienced relief (160) and n is the sample size (200).

p= 160/200 = 0.8

Calculate the standard error:

SE = √(p(1 - p)/n)

SE = √((0.8 * (1 - 0.8))/200)

Calculate the test statistic (z-score):

z = (p - p₀) / SE

where p₀ is the hypothesized proportion (0.9 in this case).

z = (0.8 - 0.9) / SE

Determine the critical value for a two-tailed test at a 1% significance level.

Since we have a two-tailed test at a 1% significance level, the critical value will be z* = ±2.576 (obtained from a standard normal distribution table or calculator).

Compare the absolute value of the test statistic to the critical value to make a decision:

If the absolute value of the test statistic is greater than the critical value (|z| > z*), we reject the null hypothesis.

If the absolute value of the test statistic is less than or equal to the critical value (|z| ≤ z*), we fail to reject the null hypothesis.

Substituting the values into the equation, we can determine the test statistic and compare it to the critical value.

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Therefore, the domain of function m is Domain = {x ∈ R} or (-∞, ∞).

The domain of a function is the set of all possible input values (also called the independent variable) for which the function is defined. In other words, it is the set of all values that can be plugged into the function without causing any errors or undefined outputs.

For example, consider the function f(x) = 1/x. In this case, the function is defined for all real numbers except x=0, because dividing by zero is undefined. Therefore, the domain of the function is all real numbers except 0, or written in interval notation, (-∞,0) U (0,∞).

It is important to determine the domain of a function because it tells us which values, we can and cannot use as input, and helps avoid errors or incorrect calculations.

by the question.

To determine the domain of function m, we need to identify all possible values of x that can be plugged into the function to produce a valid output. From the information given in the problem, we know that the curve declines from (-4, 8) through (-2, 0), passes through (0, 0) and (4, -8), and rises through (6, 8).

Since the curve is continuous and does not have any vertical asymptotes or holes, we can assume that the domain of function m is the set of all real numbers. In other words, any value of x can be plugged into the function m to produce a valid output.

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answer:

∠4, ∠6, ∠8

step-by-step explanation:

Answer:

30 students

Step-by-step explanation:

The 15 students that came were 30% of the class:

30% = 15 students

To find 100%, we can first find 10% by dividing both sides by 3

10% = 3 students

(30% ÷ 3 = 10%, 15 ÷ 3 = 5)

Then, multiply both sides by 10 to get 100%

100% = 30 students

(10% × 10 = 100, 3 × 10 = 30)

Answer:23

Step-by-step explanation:

that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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Answer:

d) 2 tons plus 1,200 pounds.

Step-by-step explanation:

1 ton = 2000

2000 + 2000 = 4000

5200 - 4000

= 1200

hence, the answer is 2 tons plus 1,200 pounds.

hope this helps and is right :)

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

(a) The Cauchy-Riemann equations are satisfied, i.e., ∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x, then the function is differentiable.  (b)the partial derivatives u(x, y) and v(x, y) and check if the Cauchy-Riemann equations are satisfied. If they are satisfied, the function is differentiable (c) the function is differentiable (d)  if h(z) is differentiable at z = 2.

a) For the function f(z) = 3z² + 5z + i - 1, we can compute the partial derivatives with respect to x and y, denoted by u(x, y) and v(x, y), respectively. If the Cauchy-Riemann equations are satisfied, i.e., ∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x, then the function is differentiable. We can further determine f'(z) by finding the derivative of f(z) with respect to z.

b) For the function g(z) = z + 1 / (2z + 1), we follow the same process of computing the partial derivatives u(x, y) and v(x, y) and check if the Cauchy-Riemann equations are satisfied. If they are satisfied, the function is differentiable, and we can find g'(z) by taking the derivative of g(z) with respect to z.

c) For the function F(z) = z / (z + i), we apply the Cauchy-Riemann equations and check if they hold. If they do, the function is differentiable, and we can calculate F'(z) by finding the derivative of F(z) with respect to z.

d) For the function h(z) = z² - 4z + 2, we are given a specific value of z, namely z = 2. To determine if h(z) is differentiable at z = 2, we need to evaluate the derivative at that point, which is h'(2).

By applying the Cauchy-Riemann equations and calculating the derivatives accordingly, we can determine the differentiability and find the derivatives (if they exist) for each of the given functions.

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The answer is (a) \($-\frac{9}{2}$\).

To find the area of the bounded region determined by the curves \($x^2=8y\)and x + 4y - 4 = 0, we first need to find the intersection points of the two curves.

From the equation \($x^2=8y$\), we get \($y=\frac{x^2}{8}$\) Substituting this in the equation x + 4y - 4 = 0, we get \($x+4\left(\frac{x^2}{8}\right)-4=0$\), which simplifies to \($x^2+8x-32=0$\). Solving for x, we get \($x=-4\pm 4\sqrt{3}$\).

Since the parabola \($x^2=8y$\) opens upwards, the area of the bounded region can be calculated as follows:

\(Area }=\int_{-4-4 \sqrt{3}}^{4 \sqrt{2}} \int_{\frac{x^2}{8}}^{(4-x) / 4} d y d x\)

Integrating with respect to y first, we get:

\(\text { Area }=\int_{-4-4 \sqrt{3}}^{4 \sqrt{2}}\left(\frac{4-x}{4}-\frac{x^2}{8}\right) d x\)

Simplifying and evaluating the integral, we get:

\(\text { Area }=\frac{9}{2}+\frac{16 \sqrt{3}}{3}-2 \sqrt{2}\)

Therefore, the answer is (a)\($-\frac{9}{2}$\).

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\(~~~~~~ \textit{Union Members Earned Amount}\\\\A=P(1+rt)\qquad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount}\dotfill & 240\\r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\t=years\dotfill &4\end{cases}\\\\\\A=240[1+(0.05)(4)]\implies A=240(1.2)\implies A=288\)

Based on simultaneous equations, the number of children and adults who swam at the public pool that hot summer's day is as follows:

Simultaneous equations are two or more equations solved concurrently.

Simultaneous equations are also referred to as a system of equations because the equations are solved at the same time.

The total number of people who used the public swimming pool = 670

The unit price for children = $1.25

The unit price for adults = $2.00

The total amount collected that day = $1,118

Let the number of children who swam at the public pool that day = x

Let the number of adults who swam at the pool that day = y

x + y = 670 ... Equation 1

1.25x + 2y = 1,118 ... Equation 2

Multiply Equation 1 by 2:

2x + 2y = 1,340 Equation 3

Subtract Equation 2 from Equation 3:

2x + 2y = 1,340

-

1.25x + 2y = 1,118

0.75x = 222

x = 296

y = 670 - 296

= 374

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Answer:

145454.4

Step-by-step explanation:

Divide 181818 by 555, then multiply the answer by 444.

a) PMF of X(10) = C(10, 10) * (0.2)¹⁰ * (0.8)⁰

b) The probability of scoring no hits is the probability of X being 0.

c) The probability of scoring more hits than misses is the probability of X being greater than 5

d) E(X) = 10 * 0.2 and Var(X) = 10 * 0.2 * (1 - 0.2).

e) The expectation of Y: E(Y) = E(2X - 3) = 2E(X) - 3

The variance of Y: Var(Y) = Var(2X - 3) = 4Var(X)

f) The expectation of Z: E(Z) = E(X²)

What is probability?

Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.

(a) To calculate the Probability Mass Function (PMF) of X, we can use the binomial distribution formula. Since the marksman takes 10 shots independently with a probability of 0.2 of hitting the target, the PMF of X follows a binomial distribution with parameters n = 10 (number of trials) and p = 0.2 (probability of success):

PMF of \(X(x) = C(n, x) * p^x * (1 - p)^{(n - x)}\)

Where C(n, x) represents the number of combinations or "n choose x."

Let's calculate the PMF for each value of X from 0 to 10:

PMF of X(0) = C(10, 0) * (0.2)⁰ * (0.8)¹⁰

PMF of X(1) = C(10, 1) * (0.2)¹ * (0.8)⁹

PMF of X(2) = C(10, 2) * (0.2)² * (0.8)⁸

...

PMF of X(10) = C(10, 10) * (0.2)¹⁰ * (0.8)⁰

(b) The probability of scoring no hits is the probability of X being 0. So we calculate PMF of X(0):

PMF of X(0) = C(10, 0) * (0.2)⁰ * (0.8)¹⁰

(c) The probability of scoring more hits than misses is the probability of X being greater than 5. We need to calculate the sum of PMF of X from X = 6 to X = 10:

PMF of X(6) + PMF of X(7) + PMF of X(8) + PMF of X(9) + PMF of X(10)

(d) The expectation (mean) of X can be found using the formula:

E(X) = n * p

where n is the number of trials and p is the probability of success. In this case, E(X) = 10 * 0.2.

The variance of X can be calculated using the formula:

Var(X) = n * p * (1 - p)

In this case, Var(X) = 10 * 0.2 * (1 - 0.2).

(e) To calculate the expectation and variance of Y, we need to consider the profit from each hit. Each hit earns $2, and since X represents the number of hits, Y can be calculated as:

Y = 2X - 3

The expectation of Y can be calculated as:

E(Y) = E(2X - 3) = 2E(X) - 3

To calculate the variance of Y, we can use the property Var(aX + b) = a²Var(X) when a and b are constants:

Var(Y) = Var(2X - 3) = 4Var(X)

(f) Similarly, for Z, each hit earns a dollar amount equal to the square of the number of hits:

Z = X²

The expectation of Z can be calculated as:

E(Z) = E(X²)

Hence, a) PMF of X(10) = C(10, 10) * (0.2)¹⁰ * (0.8)⁰

b) The probability of scoring no hits is the probability of X being 0.

c) The probability of scoring more hits than misses is the probability of X being greater than 5

d) E(X) = 10 * 0.2 and Var(X) = 10 * 0.2 * (1 - 0.2).

e) The expectation of Y: E(Y) = E(2X - 3) = 2E(X) - 3

The variance of Y: Var(Y) = Var(2X - 3) = 4Var(X)

f) The expectation of Z: E(Z) = E(X²)

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a) PMF of X(10) = C(10, 10) * (0.2)¹⁰ * (0.8)⁰

b) The probability of scoring no hits is the probability of X being 0.

c) The probability of scoring more hits than misses is the probability of X being greater than 5

d) E(X) = 10 * 0.2 and Var(X) = 10 * 0.2 * (1 - 0.2).

e) The expectation of Y: E(Y) = E(2X - 3) = 2E(X) - 3

The variance of Y: Var(Y) = Var(2X - 3) = 4Var(X)

f) The expectation of Z: E(Z) = E(X²)

What is probability?

Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.

(a) To calculate the Probability Mass Function (PMF) of X, we can use the binomial distribution formula. Since the marksman takes 10 shots independently with a probability of 0.2 of hitting the target, the PMF of X follows a binomial distribution with parameters n = 10 (number of trials) and p = 0.2 (probability of success):

PMF of

Where C(n, x) represents the number of combinations or "n choose x."

Let's calculate the PMF for each value of X from 0 to 10:

PMF of X(0) = C(10, 0) * (0.2)⁰ * (0.8)¹⁰

PMF of X(1) = C(10, 1) * (0.2)¹ * (0.8)⁹

PMF of X(2) = C(10, 2) * (0.2)² * (0.8)⁸

......

PMF of X(10) = C(10, 10) * (0.2)¹⁰ * (0.8)⁰

(b) The probability of scoring no hits is the probability of X being 0. So we calculate PMF of X(0):

PMF of X(0) = C(10, 0) * (0.2)⁰ * (0.8)¹⁰

(c) The probability of scoring more hits than misses is the probability of X being greater than 5. We need to calculate the sum of PMF of X from X = 6 to X = 10:

PMF of X(6) + PMF of X(7) + PMF of X(8) + PMF of X(9) + PMF of X(10)

(d) The expectation (mean) of X can be found using the formula:

E(X) = n * p

where n is the number of trials and p is the probability of success. In this case, E(X) = 10 * 0.2.

The variance of X can be calculated using the formula:

Var(X) = n * p * (1 - p)

In this case, Var(X) = 10 * 0.2 * (1 - 0.2).

(e) To calculate the expectation and variance of Y, we need to consider the profit from each hit. Each hit earns $2, and since X represents the number of hits, Y can be calculated as:

Y = 2X - 3

The expectation of Y can be calculated as:

E(Y) = E(2X - 3) = 2E(X) - 3

To calculate the variance of Y, we can use the property Var(aX + b) = a²Var(X) when a and b are constants:

Var(Y) = Var(2X - 3) = 4Var(X)

(f) Similarly, for Z, each hit earns a dollar amount equal to the square of the number of hits:

Z = X²

The expectation of Z can be calculated as:

E(Z) = E(X²)

Hence, a) PMF of X(10) = C(10, 10) * (0.2)¹⁰ * (0.8)⁰

b) The probability of scoring no hits is the probability of X being 0.

c) The probability of scoring more hits than misses is the probability of X being greater than 5

d) E(X) = 10 * 0.2 and Var(X) = 10 * 0.2 * (1 - 0.2).

e) The expectation of Y: E(Y) = E(2X - 3) = 2E(X) - 3

The variance of Y: Var(Y) = Var(2X - 3) = 4Var(X)

f) The expectation of Z: E(Z) = E(X²)

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Answer:

3in= 1/4 ft

Step-by-step explanation:

1 foot equals 12 inches so a quarter of 12 inches is 3. PLEASE MARK BRAINLIEST

Answer:

3 inches = 1/4 of a foot

Step-by-step explanation:

There are 12 inches in one foot, so we can create a quick proportion:

1 foot/12 inches = x feet/ 3 inches

x = 1/4 of a foot

Hope this helps!!

Answer:

can you tell me please

Step-by-step explanation:

nicest

The map scale is printed in the map legend. It is given as a ratio of inches on the map corresponding to inches, feet, or miles on the ground. For example, a map scale indicating a ratio of 1:24,000 (in/in), means that for every 1 inch on the map, 24,000 inches have been covered on the ground.

The unit tangent vector, T(t), represents the direction of the space curve at any given point. In this case, the position vector is given by r(t) = e^(2t)i + cos(t)j - sin(3t)k.

Taking the derivative of r(t), we get r'(t) = 2e^(2t)i - sin(t)j - 3cos(3t)k. Now, to normalize the vector, we divide each component by the magnitude of the vector: ||r'(t)|| = sqrt((2e^(2t))^2 + (-sin(t))^2 + (-3cos(3t))^2). Simplifying, we have ||r'(t)|| = sqrt(4e^(4t) + sin^2(t) + 9cos^2(3t)).

Finally, the unit tangent vector is obtained by dividing r'(t) by its magnitude: T(t) = (2e^(2t)i - sin(t)j - 3cos(3t)k) / sqrt(4e^(4t) + sin^2(t) + 9cos^2(3t)). This is the unit vector that represents the direction of the space curve at any point.

For the set of parametric equations of the tangent line to the space curve at point P, we use the point-slope form. The point P is given as P(l, 1, 0). Using the unit tangent vector T(t) calculated above, we have the following parametric equations: x = l + 2et, y = 1 - sint, z = 3cost. These equations represent the tangent line to the space curve at point P and can be used to trace the path of the tangent line as t varies.

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Answer:

216 letters

Step-by-step explanation:

6 times 6 is 36 times 6 is 216 and they all gave it to hime so george got 216 letters

The number of letters George received is 216.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, Katie sends a letter to 6 friends. Those 6 friends each send the letter to 6 more friend.

Total number of letters = 6×6×6

= 216

Therefore, the number of letters George received is 216.

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Answer:

9.9

Step-by-step explanation:

Answer:

5.989x10 with the power of 0

Step-by-step explanation:

Can I have crown?

Answer:

Dont know thanks me!!!

Step-by-step explanation:

Answer:

3279

Step-by-step explanation:

math

Thus, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.

The first step in solving this problem is to use the given information to calculate the proportion of players who are both amateurs and ranked in the top 40 golfers in the world.

Since being a top 40 golfer and being an amateur are mutually exclusive, the proportion we're interested in is the proportion of amateur players who are not in the top 40.

We know that 15% of players are in the top 40, so 85% of players are not. We also know that 67% of players are amateurs, so 33% of players are not. To find the proportion of amateur players who are not in the top 40, we can multiply these two proportions:

0.85 x 0.33 = 0.2805

So, 28.05% of players in the tournament are amateurs who are not in the top 40.

Now, we can use this proportion to answer the question of what the probability is of selecting an amateur player who is not in the top 40, given that the player is an amateur. This is simply the proportion we just calculated:

P(amateur and not top 40) = 0.2805

Therefore, the probability of selecting an amateur player who is in the top 40 is:

P(top 40 | amateur) = 1 - P(amateur and not top 40)
= 1 - 0.2805
= 0.7195 or 71.95%

In other words, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.

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