Find the Volume of the sphere.

Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.

Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.

Ricardo tarda 5 minutos en dar la vuelta a la manzana.

Rena tarda 6 minutos en dar la vuelta a la manzana.

Digamos que los tres comienzan el viaje desde el mismo punto A.

Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.

Por lo tanto,

Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.

Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.

Todas se reúnen después de 6 minutos en la salida.

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Answer:

77

Step-by-step explanation:

35% of 220 is equivalent to 77.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is to find 35% of 220.

Let 35% of 220 be {x}. Then, we can write -

{x} = 35/100 x 220

{x} = 35/10 x 22

{x} = 35 x 2.2

{x} = 77

Therefore, 35% of 220 is equivalent to 77.

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Answer:

1/4

Step-by-step explanation:

We know :-

Substitute ,

Answer:

is y=3x+7is the answer of this question

The slope intercept form of equation:   y = mx + b

Therefore:

m = 2 and b = 5   ⇒    y = 2x + 5

m = 3 and b = 7   ⇒    y = 3x + 7

m = 3 and b = -7   ⇒    y = 3x - 7

m = 25 and b = 0   ⇒    y = 25x

m = -25 and b = 0   ⇒    y = -25x

m = 12 and b = 0   ⇒    y = 12x

m = 10 and b = 15   ⇒    y = 10x + 15

y = 122   ⇒   y = 0x + 122   ⇒   m = 0,  b = 122  

y = 252   ⇒  y = 0x + 252   ⇒   m = 0,  b = 252  

y = 10 + 15  ⇒  y = 0x + 25   ⇒   m = 0,  b = 25

y = 2x + 5       ⇒     m = 2,  b = 5

y = 3x + 7       ⇒     m = 3,  b = 7

I'm not sure what you wanted so pick what you need.

Note that the area of the L-Shaped prism (which is a compound shape) is  10,250cm

To get the area, we had to bread down the prism into simpler units of two cuboids A and B. See the attached.

Recall that the area of a Cuboid is

L x B x H

where

L = Length

B = Base

H = Height

For Cuboid A:

L = 50

B = 9 and

H = 15

Thus Area of Cuboid A =

50 x 9 x 15

= 6750

For Cuboid B we have

5 x 50 x 14

= 3500

Since A + B = the Area of the Full Prism, thus

6750 + 3500 = 10,250cm

Hence the area of the L-Shaped Prism is 10,250cm

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Answer:

First equation:  y = -2x

Second equation: y = 3 - x

Solution:  (1, -2)

Step-by-step explanation:

Assuming the ordered pairs of the tables are:

Table 1

(-5, 10)  (-1, 2)  (0, 0)  (11, -22)

Table 2

(-8, -11)  (-2, -5)  (1, -2)  (7, 4)

To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.

\(\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}\)

\(\textsf{point-slope form : }y-y_1=m(x-x_1)\)

Equation 1

\(\textsf{slope }m=\dfrac{2-10}{-1+5}=-2\)

\(y-0=-2(x-0)\\\\\implies y=-2x\)

Equation 2

\(\textsf{slope }m=\dfrac{-5+11}{-2+8}=1\)

\(y+11=1(x+8)\\\\\implies y=x-3\)

Solution to the System

Equate the equations and solve for x:

-2x = x - 3

⇒ 0 = 3x - 3

⇒ 3x = 3

⇒ x = 1

Substitute found value of x into one of the equations and solve for y:

y = 1 - 3 = -2

Therefore, the solution is (1, -2)

The equations are given as follows:

An equation is a combination of expressions that are equal to each other.

The ordered pairs of the tables are as follows:

Table 1:

(-5, 10), (-1, 2), (0, 0), (11, -22)

Table 2:

(-8, -11), (-2, -5), (1, -2), (7, 4)

To obtain the first equation, pick any two ordered pairs.

The slope of the equation is given as:

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

Let's pick ordered pairs (-1, 2) and (0, 0) to find the slope of the equation.

Then,

\(m = \dfrac{0-2}{0-(-1)}\\m = \dfrac{-2}{1}\\\\m = -2\)

So, the first equation in the point-slope form is given as follows:

\(y-y_1= m({x-x_1})\)

Substitute \((x_1,\ y_1)\) by (0, 0) and m by -2,

y - 0 = -2(x - 0)

y = -2x

Similarly, the slope of the second equation is obtained as follows:

\(m = \dfrac{-5-(-11)}{-2-(-8)}\\m = \dfrac{6}{6}\\\\m = 1\)

So, the second equation in the point-slope form is given as follows:

y - (-11)  = 1(x - (-8))

y + 11 = x + 8

y = x - 3

To solve this system of equations, let's equate the right-hand sides of both equations:

-2x = x - 3

-2x -x = -3

-3x = -3

x = 1

Substitute this value of x in the first equation,

y = -2 × 1

y = -2

So, the solution is (1, -2).

Therefore, the blanks are filled in by the numbers -2 and 3. The solution of the system of equations is (1,-2).

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Sophia did Calculus test better ompared to the rest of her class, as her z-score for Statistics  was lower than her z-score for Calculus

We know that the formula for the z-score is: \(z=\frac{x-\mu}{\sigma}\)

where x is the observed value

μ is the mean of the sample

σ is the standard deviation of the sample

Sophia got a 95% on her statistics. The grades had a mean of 87%, with a standard deviation of 7%

So, her z-score for statistics would be:

\(z_s=\frac{95-87}{7}\\\\z_s=1.14\)

She got a 91% on her calculus mid-term. The grades had a mean of 85%, with a standard deviation of 47%

So, her z-score for statistics would be:

\(z_c=\frac{91-85}{4}\\\\z_c=1.5\)

Since her z-score for Statistics  was lower than her z-score for Calculus,  she did Calculus test better.

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Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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1- The statement given "The fraction bar can be used to show the order of operations" is true because the fraction bar can be used to show the order of operations.

2-  The statement given "In solving the equation 4(x-9)=24, the subtraction should be undone first by adding 9 to each side. " is true because in solving the equation 4(x-9)=24, the subtraction should be undone first by adding 9 to each side.

3- The statement given "To subtract x's, you subtract their coefficients." is false because to subtract x's, you do not subtract their coefficients

4- The statement given "To solve an equation with x's on both sides, you have to move the x's to the same side first." is true because to solve an equation with x's on both sides, you have to move the x's to the same side first. True.

1- True: The fraction bar can be used to show the order of operations. In mathematical expressions, the fraction bar represents division, and according to the order of operations, division should be performed before addition or subtraction. This helps ensure that calculations are done correctly.

2- True: In solving the equation 4(x-9)=24, the subtraction should be undone first by adding 9 to each side. This step is necessary to isolate the variable x. By adding 9 to both sides of the equation, we eliminate the subtraction on the left side and simplify the equation to 4x - 36 = 24. This allows us to proceed with further steps to solve for x.

3- False: To subtract x's, you do not subtract their coefficients. In algebraic expressions or equations, the x represents a variable, and when subtracting x's, you subtract the coefficients or numerical values that accompany the x terms. For example, if you have the equation 3x - 2x = 5, you subtract the coefficients 3 and 2, not the x's themselves. This simplifies to x = 5.

4- True: When solving an equation with x's on both sides, it is often necessary to move the x's to the same side to simplify the equation and solve for x. This can be done by performing addition or subtraction operations on both sides of the equation. By bringing the x terms together, you can more easily manipulate the equation and find the solution for x.

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Answers is 3

360° = 72° 216o is a multiple of 72

The angle of rotation will carry the figure onto itself is 216 degrees

The measure of angle at the center of the polygon is 360 degrees. i.e.

\(\theta = 360^o\)

The number of sides of the regular polygon is 5. i.e.

\(n = 5\)

So, the smallest angle of rotation that maps the polygon onto itself is

\( = \frac{\theta}{n}\)

This gives

\(\alpha = \frac{360}{5}\)

\(\alpha = 72\)

Other angles that map the shape onto itself, must be a multiple of 72. i.e.

\(\alpha = 72, 144, 216,288,360....\)

Hence, the angle of rotation will carry the figure onto itself is 216 degrees

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No, it is not true that ∫_0^1 l(θ | x0) dθ = 1. The integral of the likelihood function l(θ | x0) over the parameter space [0, 1] does not necessarily equal 1.

The likelihood function l(θ | x0) measures the probability of observing the data x0 given the parameter value θ. It is a function of the parameter θ, and not a probability distribution over θ.

Therefore, the integral of the likelihood function over the parameter space does not have to equal 1, unlike the integral of a probability density function over its support.

In fact, the integral of the likelihood function over the parameter space is often referred to as the marginal likelihood or the evidence, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0. The marginal likelihood is given by: ∫_0^1 l(θ | x0) p(θ) dθ

where p(θ) is the prior distribution of the parameter θ. The marginal likelihood is used to normalize the posterior distribution so that it integrates to 1:
p(θ | x0) = l(θ | x0) p(θ) / ∫_0^1 l(θ | x0) p(θ) dθ

In conclusion, the integral of the likelihood function over the parameter space does not necessarily equal 1, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0.

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The equivalent fraction form of the given decimals are:

6.5 = 6 1/2

5.1 = 5 1/10

4.3 = 4 3/10

10.37 = 10 37/100

2.7 = 2 7/10

3.3 = 3 3/10

3.71 = 3 71/100

5.81 = 5 81/100

7.4 = 7 4/10

2.9 = 2 9/10

4.78 = 4 78/100

8.4 = 8 4/10

The fraction bar separating "part" and "whole" denotes division. This indicates that simply dividing the numerator by the denominator, every fraction may be transformed to a decimal.

Method for converting a fraction to a decimal

Step 1: Find a number that can be multiplied by the bottom of the fraction to get 10, 100, 1000, or any 1 followed by 0s.

Step 2: Multiply the number by both the top and bottom.

Step 3. Then write down only the top number, with the decimal point in the proper place (one space from the right hand side for every zero in the bottom number)

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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The production level that will maximize profit is approximately 122 units.  

How can we determine the production level that will maximize profit given the cost function and the demand function?

To find the production level that maximizes profit, we can calculate the profit function by subtracting the cost function from the revenue function. By determining the vertex of the resulting quadratic equation, we can identify the production level (x-coordinate of the vertex) at which profit is maximized.

To find the production level that will maximize profit, we need to determine the point where the cost function and the demand function intersect. The profit function can be calculated by subtracting the cost function from the revenue function (which is the product of the demand function and the production level).

Given:

Cost function: C(x) = 1700 - 7x (where x represents the production level) Demand function: p(x) = 1700 - 7x (where p(x) represents the price per unit)

To calculate the profit function, we subtract the cost function from the revenue function:

Profit function: P(x) = x * p(x) - C(x)

Now we substitute the given functions: P(x) = x * (1700 - 7x) - (1700 - 7x)

Simplifying further:

\(P(x) = 1700x - 7x^2 - 1700 + 7x\\ P(x) = -7x^2 + 1707x - 1700\)

To find the production level that maximizes profit, we need to determine the vertex of the quadratic equation P(x). The x-coordinate of the vertex represents the production level at which profit is maximized.

To find the x-coordinate of the vertex, we can use the formula  \(x =\frac{-b}{2a}\), where a, b, and c are the coefficients of the quadratic equation.

In this case, a = -7, b = 1707, and c = -1700. Substituting these values into the formula:

\(x=\frac{1707}{2*(-7)}\)

\(x=\frac{1707}{-14}\)

x ≈ 122.36

Rounding to the nearest whole number, the production level that will maximize profit is approximately 122 units.

Therefore, the production level that will maximize profit is approximately 122 units.

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Answer:

\(25 \%\)

Step-by-step explanation:

The department store is buying each shirt for:

\(\frac{6400}{400}=\$ 16\) each.

Therefore, the percent markup is:

\(100 \cdot \frac{20-16}{16}=\fbox{$25\%$}\).

Answer: To find out how many steps are left for Rohan to complete the race, we can calculate the remaining distance in meters and then divide it by the distance covered per step.

Rohan covered 347 meters before falling, so the remaining distance to complete is:

560 meters - 347 meters = 213 meters

Since each step covers 0.5 meters, we can calculate the number of steps left:

213 meters / 0.5 meters per step = 426 steps

Therefore, Rohan has 426 steps left to complete the race.

Answer:

72, 72, 108, 108

Step-by-step explanation:

x, x, x+36, x+36 =360

4x=288

x=72

so,  x=72, x=72, x=108, x=108

Answer:

72*, 72*, 108*, 108*

Answer:

84600000000

Step-by-step explanation:

Answer:8460000000

Step-by-step explanation:

Answer:

Y= 50w+100

theres your inequality

Step-by-step explanation:

Answer:

You get 100 points for playing the game, and 50 points per each seven letter word you are able to make.

Let "seven-letter" = w

50 points per each seven letter = 50w

100 points for playing the game = + 100

50w + 100 ≥ 18000 is your inequality.

hope this helps

In this context, the set of all scores on the standardized test across the country is referred to as the population.

In statistics, a population refers to the entire group of individuals, objects, or events that we are interested in studying. It represents the complete collection of units from which we want to draw conclusions or make inferences. In this case, the population consists of all students who have taken the standardized test across the country.

A parameter, on the other hand, is a numerical characteristic of a population. It describes a specific aspect or feature of the population, such as the mean, standard deviation, or proportion. Parameters are typically unknown and are estimated based on sample data.

In contrast, a sample refers to a subset of individuals or observations taken from the population. Samples are used to make inferences about the population. In this scenario, the researchers collected data from two classrooms of students (Classroom A and Classroom B), which can be considered as two separate samples from the population.

A statistic is a numerical measure calculated from sample data. It provides information about the sample itself but is not representative of the entire population. Examples of statistics include sample means, sample standard deviations, or sample proportions.

Based on the given information, the set of scores from Classroom A and Classroom B are samples, as they represent a subset of students who completed the test. The population, in this case, refers to the entire group of students who have taken the standardized test across the country. Therefore, the correct answer is d. the population.

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The correct answer is (OC) 0.00015.

To test the null hypothesis that the population proportion of black is equal to 0.2 against the alternative hypothesis that the proportion is not equal to 0.2, we can use a two-tailed z-test.

Given:

Sample size (n) = 40

Sample proportion (p) = 0.40 (40%)

Null hypothesis (H0): p = 0.2

Alternative hypothesis (HA): p ≠ 0.2

To find the p-value, we first calculate the test statistic (z-score) using the formula:

z = (p - P) / sqrt(P(1-P)/n)

where P is the hypothesized population proportion under the null hypothesis. In this case, P = 0.2.

z = (0.40 - 0.2) / sqrt(0.2(1-0.2)/40)

z = 0.2 / sqrt(0.16/40)

z = 0.2 / sqrt(0.004)

z ≈ 5.00 (rounded to two decimal places)

Next, we calculate the p-value associated with the test statistic. Since this is a two-tailed test, we need to find the area under the standard normal distribution curve in both tails beyond the observed z-value of 5.00.

The p-value is the probability of observing a z-score as extreme or more extreme than the observed value of 5.00.

Looking up the p-value in the standard normal distribution table (or using a calculator), we find that the p-value is very small, approximately 0.00015.

Therefore, the correct answer is (OC) 0.00015.

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Answer:

it will take 4 months

Step-by-step explanation:

Answer:

-8192

Step-by-step explanation:

It is simple. The pattern goes by x4, but every second number is a negative.

Answer:

0.969

Step-by-step explanation:

use the z-score formula to convert the values.

z = (X - υ) / σ

where X is the test statistic, υ is the mean, σ is the standard deviation.

z = (18 - 31) / 7

= -1.857

area in z-score table (this is area to left of <18) is 0.0314.

P(>18) = 1 - 0.0314 = 0.969

By calculation, your grade in the class now is 78.7

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

Score of 47.2 in 60

Represent the score in 100% with x

So, we have the following equation

47.2/60 = x/100

Multiply both sides of the equation by 100

So, we have

100 * 47.2/60 = x/100 * 100

This gives

100 * 47.2/60 = x

So, we have

x = 100 * 47.2/60

Evaluate

x = 78.7

Hence, your grade in the class now is 78.7

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The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

What is the right triangle is triangle?

A right triangle is a triangle in which one angle measures 90 degrees. The sides of a right triangle can be used to determine if a triangle is a right triangle using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using this information, we can determine which of the given sets of side measures could form a right triangle:

A. 61 m, 60 m, 11 m: We can use the Pythagorean theorem to see if these sides could form a right triangle. We'll let the hypotenuse be the side with a length of 61 m, and the other two sides are the ones with lengths of 60 m and 11 m. Plugging these values into the Pythagorean theorem, we get:

(61 m)² = (60 m)² + (11 m)²

61² = 60² + 11²

61² ≠ 60² + 11²

Since the left side does not equal the right side, these sides cannot form a right triangle.

B. 24 in, 34 in, 28 in: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(34 in)² = (24 in)² + (28 in)²

34² = 24² + 28²

34² = 24² + 28²

The left side equals the right side, so these sides could form a right triangle.

C. 55 ft, 45 ft, 35 ft: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(55 ft)² = (45 ft)² + (35 ft)²

55² = 45² + 35²

55² = 45² + 35²

The left side equals the right side, so these sides could form a right triangle.

D. 48 cm, 46 cm, 15 cm: Using the Pythagorean theorem, we can see that these sides could not form a right triangle:

(48 cm)² ≠ (46 cm)² + (15 cm)²

48² ≠ 46² + 15²

Since the left side does not equal the right side, these sides cannot form a right triangle.

Hence, The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

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Answer: 2.5 inches

Step-by-step explanation: 3*5/6= 2.5

Answer:

10/20 for green, then 4/19 for blue. 10/20 * 4/19 = 2/19

Step-by-step explanation:

Explanation is above. If you need any more help let me know.