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The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.

A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).

Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.

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A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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Answer:

\(y = -\frac{3}{2}x -1\)

Step-by-step explanation:

Given

Perpendicular to \(y = \frac{2}{3}x + 2\)

Pass through \((-2,2)\)

Required

Determine the line equation

First, we need to determine the slope of \(y = \frac{2}{3}x + 2\)

An equation is of the form:

\(y = mx + b\)

Where

\(m = slope\)

In this case:

\(m = \frac{2}{3}\)

Next, we determine the slope of the second line.

Since both lines are perpendicular, the second line has a slope of:

\(m_1 = \frac{-1}{m}\)

\(m_1 = \frac{-1}{2/3}\)

\(m_1 = -\frac{3}{2}\)

Since this line passes through (-2,2); The equation is calculated as thus:

\(y - y_1 = m_1(x - x_1)\)

Where

\((x_1,y_1) = (-2,2)\)

This gives:

\(y - 2 = -\frac{3}{2}(x - (-2))\)

\(y - 2 = -\frac{3}{2}(x +2)\)

\(y - 2 = -\frac{3}{2}x -3\)

Add 2 to both sides

\(y - 2+2 = -\frac{3}{2}x -3 + 2\)

\(y = -\frac{3}{2}x -1\)

Answer:

{y,x}={-22/5,11/10}

Step-by-step explanation:

The changes in the volume of the spherical balloon is approximately o.3351-meter cube.

the volume of the sphere =\(v=\frac{4}{3}\pi r^3\)

using the definition of differential to find the change we write

                                          \(dv=\frac{4}{3}\pi (dr)^3\)

where,                               \(dr\)=\(r_{2}-r_{2}\)

                                         \(dr\)=\(2-1.8\\\)

                                         \(dr\) \(=0.2\)

                                         \(dv=\frac{4}{3}\pi (0.2)^3\)

                                         \(dv=0.3351\) approx.

where dr and dv represent the differential or change with respect to radius and volume in the above calculation. so first we apply differential on both sides of the formula of the sphere then we find its approximation by the next coming equation. so, the volume of the sphere is approximately 0.3351-meter cube here approximation represents that it is not the exact solution it is basically approximated solution.

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Answer:

3.2 π

Step-by-step explanation:

The volume V of a sphere with radius r is given by the formula V = (4/3) * π * r^3.

Taking the derivative with respect to r, we get dV/dr = 4 * π * r^2.

Let dr be the change in radius, which is 1.8 - 2 = -0.2.

The differential dV is given by dV ≈ (dV/dr) * dr = 4 * π * r^2 * dr.

Substituting r = 2 and dr = -0.2, we get dV ≈ 4 * π * 2^2 * (-0.2) = -3.2 * π.

So, using differentials, we estimate that the volume of the balloon decreases by approximately 3.2 * π cubic meters as it deflates from a radius of 2 meters to a radius of 1.8 meters.

To calculate a rate, divide the change in the quantity by the corresponding change in the unit of time.

Calculating a rate involves determining the amount of change in a quantity per unit of time. It is commonly expressed as a ratio or a fraction. The formula for calculating a rate is:

Rate = Change in Quantity / Change in Time

Determine the quantity involved: Identify the specific quantity that you want to measure, such as distance, speed, flow, or growth.

Determine the corresponding unit of time: Identify the unit of time over which the quantity is changing, such as seconds, hours, days, or years.

Measure the initial and final values: Take measurements or obtain data for the initial and final values of the quantity of interest.

Calculate the change in quantity: Subtract the initial value from the final value to find the change in the quantity.

Calculate the change in time: Subtract the initial time from the final time to find the change in the unit of time.

Divide the change in quantity by the change in time: Divide the change in the quantity by the corresponding change in the unit of time.

Simplify or round the rate if necessary: Depending on the context and desired level of precision, simplify or round the rate to an appropriate number of decimal places or significant figures.

By following these steps and applying the formula, you can calculate a rate accurately.

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So, Tracy paid $12.50 for the encyclopedia and $45.50 for the math book.

In mathematics, an equation is a statement that shows the equality between two expressions. The expressions can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. An equation usually has an equals sign (=) between the two expressions. The equals sign indicates that the two expressions have the same value.

Here,

Let's use variables to represent the prices of the math book and the encyclopedia.

Let x be the price of the encyclopedia.

According to the problem, the price of the math book is 8 dollars more than 3 times the price of the encyclopedia. So, the price of the math book can be represented as:

=3x + 8

The total cost of the two books is given as 58 dollars. Therefore, we can write the equation:

x + (3x + 8) = 58

Simplifying and solving for x, we get:

4x + 8 = 58

4x = 50

x = 12.50

So, the price of the encyclopedia is $12.50.

To find the price of the math book, we can substitute x = 12.50 into the expression we derived earlier:

=3x + 8

= 3(12.50) + 8

= 37.50 + 8

= 45.50

Therefore, the price of the math book is $45.50.

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12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Divide 8 by 2/3

8÷ 2/3

8× 3/2

12

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

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The first operation Chi should perform is subtraction, followed by multiplication, division, and finally addition.

To simplify the expression (1.25 - 0.4) / 7 + 4 * 3, Chi should perform the operations in the following order:

Perform subtraction: (1.25 - 0.4) = 0.85

Perform multiplication: 4 * 3 = 12

Perform division: 0.85 / 7 = 0.1214 (rounded to four decimal places)

Perform addition: 0.1214 + 12 = 12.1214

Therefore, the first operation Chi should perform is subtraction, followed by multiplication, division, and finally addition.

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Answer:

B

Step-by-step explanation:

four times as much;

Standard deviation is the square root of variance .

So,

It is used in measuring any deviation or shift from the calculated mean.  

From a data set, the mean of the data can be determined with which the standard deviation can be measure.

Therefore, Standard deviation is use to measure variation that exist in an individual data set. There are different type of data set from which variation is measured.

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Answer:

d.not enogh information

The measure of the angle ∠NPQ will be 118°. Then the correct option is C.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

In the isosceles trapezoid, the sum of the opposite angle is 180 degrees. Then the equation is given as,

∠NMQ + ∠NPQ = 180°

∠NPQ + 32° + 30° = 180°

∠NPQ = 118°

The measure of the angle ∠NPQ will be 118°. Then the correct option is C.

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For f'(a) is given by f'(a) = 6a + 2 and equation of the line tangent to the graph is y = -10x - 12.

f(x) = 3x² + 2x

f'(x) = 6x + 2

So f'(a) = f'(-2) = -12+2 = -10

In order to find tangent line , we need a slope and a point. We have the x-co-ordinate for our point, so we can plug that in to find Y-coordinate.

F(-2) = 8

The slope of tangent line is the derivative at this point  , f'(-2) = -10

Equation of line tangent,

y - 8 = -10(x - (-2))

y = -10x - 12.

The limit of a function in mathematics is a key idea in calculus and analysis regarding the behavior of that function close to a specific input.

Informally, a function f gives each input x an output f(x). If f(x) approaches L as x approaches input p, we say that the function has a limit L at that location. More specifically, any input that is sufficiently close to p when f is applied forces the output value arbitrarily close to L.

The concept of limit is specifically used in the various definitions of continuity. Roughly speaking, a function is continuous if all of its limits agree with the values of the function. The term "limit" is also used in the definition of the mathematical term "derivative," which in one-variable calculus refers to the maximum value of the slope of secant lines on a function's graph.

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Answer:

1.35kg

Step-by-step explanation:

450g : 6 people

x : 18 people

To get from 6 to 18, multiply by 3 so do the same to the other side

450 × 3 = 1350g

To convert from g to kg divide by 1000

1350 ÷ 1000 = 1.35kg

Answer:

-234

Step-by-step explanation:

1-235=-234

Answer:

Step-by-step explanation:

1-u=235  subtract the 1 from both sides

-u=234  divide by -1

u= -234

Answer:

Step-by-step explanation:

A = B

8x - 10 = 3x + 90

8x - 3x - 10 = 90

5x = 90 + 10

5x = 100

5x/5 = 100/5

x = 20

Answer:

Option C.

Step-by-step explanation:

The given absolute value inequality is

\(|x+12|+5<27\)

Isolate the absolute value by subtracting 5 from both sides.

\(|x+12|+5-5<27-5\)

\(|x+12|+0<22\)

\(|x+12|<22\)

Therefore, the correct option is C.

We can further solve this, to find the solution of the given inequality.

\(-22<x+12<22\)

Subtract 12 from each sides.

\(-22-12<x+12-12<22-12\)

\(-34<x<10\)

The solution of given inequality is \(-34<x<10\).

The code sorts the skill array in ascending order.

It then creates a HashMap to store the number of occurrences of each skill level. The left and right pointers are initialized to point to the first and last elements of the skill array. The result variable is used to store the sum of the effectiveness of all teams that can be created. The code then iterates through the skill array using the left and right pointers. If both pointers point to skills that have more than one occurrence, then two of each skill are used to create the team, and effectiveness is added to the result.

If only one pointer points to a skill with more than one occurrence, then one instance of that skill is paired with one instance of the other skill to form a team. Otherwise, if both pointers point to skills that have only one occurrence, then one instance of each skill is used to create the team. In any case, when a team is created, the HashMap is updated accordingly.

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The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.

The given sequence is 1/117659, 1/16807, 1/2401...

Here, common ratio is

1/16807 ÷ 1/117659

= 1/16807 × 117659/1

= 117659/16807

= 7

Now, 1/2401 ÷ 1/16807

= 1/2401 × 16807/1

= 16807/2401

= 7

Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

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Answer:

2y + 2x = 0

Step-by-step explanation:

First you have to find the slope of the line.

Parallel lines have same slope

2y = -2-2x

y=-1-1x, y=-1x-1

slope = -1

Use point slope formula

y-y=m(x-x)

y-(-9) = -1(x-9)

y+9 = -1(x-9)

y+9 = -1x+9

y = -x

y + x = 0

2y + 2x = 0

Answer:

y = 100 - 0.08^ x

Step-by-step explanation:

Answer:

2⁴⁶ is 2⁻⁴ times as many as 2⁴²

Step-by-step explanation:

Given;

2 to the power of 46 = 2⁴⁶

2 to the power of 42 = 2⁴²

Let the number of times = y

2⁴⁶y = 2⁴²

divide both side of the equation by  2⁴⁶

\(\frac{2^{46}y}{2^{46}} = \frac{2^{42}}{2^{46}} \\\\y = 2^{42-46}\\\\y = 2^{-4}\)

Therefore, 2  to the power of 46 is 2 to the power -4 times as many as 2 to the power of 42. (i.e 2⁴⁶ is 2⁻⁴ times as many as 2⁴²)

Answer:

16

Step-by-step explanation:

Answer:

94m

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

you can cross-multiply and see if you get the same products

(2/1 ÷ 8/3) / (2/3 ÷ 6/1)

2/1 · 6/1 ≠ 8/3 · 2/3

12 ≠ 16/9

If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the interval to become wider.

A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. A 95% confidence interval means that if we were to repeat the sampling and estimation process many times, we can expect the true population parameter to fall within the interval about 95% of the time.

If we change the confidence level from 95% to 99%, we are increasing the degree of confidence. This means that if we were to repeat the sampling and estimation process many times, we can expect the true population parameter to fall within the interval about 99% of the time.

But, to achieve this higher degree of confidence, we need to widen the interval. This is because as the degree of confidence increases, the interval needs to become wider to capture more possible values of the population parameter.

Therefore, if we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the interval to become wider.

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Looking at the plot we could roughly draw a line between the points.

This would would have a positive slope. so the association would be linear and positive.

If 40% of John's sales correspond to 120 bags of potatoes, 300 bags of potatoes correspond to 120%

To solve this problem, we can use a proportion. If 40% of John's sales correspond to 120 bags of potatoes, we can set up the following proportion:

40/100 = 120/x

Here, x represents the number of bags of potatoes that correspond to 120% of John's sales. To solve for x, we can cross-multiply and simplify:

40x = 12000

x = 300

Therefore, 300 bags of potatoes correspond to 120% of John's sales. This means that if John's sales increase by 20% (from 100% to 120%), he would sell 300 bags of potatoes.

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If Ash can dig 5 holes in 2 hours, and Bruce can dig 9 holes in 5 hours. The number of holes they can dig is:  64.5 holes .

Ash rate:

5 holes / 2 hours

= 2.5 holes per hour

Bruce rate

9 holes / 5 hours

= 1.8 holes per hour

Number of holes they can dig together in one hour

2.5 holes per hour + 1.8 holes per hour

= 4.3 holes per hour

Now let find the number of holes they can dig in 15 hours,

4.3 holes per hour x 15 hours

= 64.5 holes

Therefore, Ash and Bruce can dig 64.5 holes.

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Answer:

I also need the same help :(((

Step-by-step explanation:

1. The percentage of the players who finished the walk in less than 2 hours  will be  2.28%

2. The probability that two randomly chosen players completed the walk in 2.9 hours or more was 15.87%

3. The probability that four randomly chosen players completed the walk was between 1.7 and 2.9 hours  84%

4. The number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants 0

5. if the number of participants increased, the probability would increase while if they decreased, the probability would decrease

The z score is a measure used in probability to determine the number of standard deviations the raw score is above or below the mean, it is given by the equation:

\(Z=\dfrac{x-\mu}{\sigma}\)

Given that:

the mean μ = 2.6 hours and a standard deviation(σ) of 0.3 hours.

\(Z=\dfrac{x-\mu}{\sigma}\)

1) What percent of the players finished the walk in less than 2 hours.

To calculate this, we use x as 2 hours and then find the z score.

\(Z=\dfrac{x-\mu}{\sigma}=\dfrac{2-2.6}{0.3}=-2\)

From the normal probability distribution table, P(x < 2) = P(z < -2) = 0.0228 = 2.28%

2)  What is the probability that two randomly chosen players completed the walk in 2.9 hours or more

To calculate this, we use x as 2.9 hours and then find the z score.

\(Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1\)

From the normal probability distribution table, P(x > 2.9) = P(z > 1) = 1-P(z<1) = 1 - 0.8413 = 0.1587

3. What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours

To calculate this, we first use x as 1.7 hours and then find the z score.

\(Z=\dfrac{x-\mu}{\sigma}=\dfrac{1.7-2.6}{0.3}=-3\)

For x as 2.9 hours and then find the z score.

\(Z=\dfrac{x-\mu}{\sigma}=\dfrac{2.9-2.6}{0.3}=1\)

From the normal probability distribution table, P(1.7 < x < 2.9) = P(-3 < z < 1) = P(z<1) - P(z < -3) = 0.8413 - 0.0013 = 0.84

4. What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?

To calculate this, we use x as 3.5 hours, a number of samples (n) = 1200, and then find the z score.

\(Z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}=\dfrac{3.5-2.6}{\dfrac{0.3}{\sqrt{1200}}}=104\)

From the normal probability distribution table, P(x > 3.5) = P(z > 104) = 1-P(z<104) = 1 - 1 = 0

5. What might you observe if the number of participants increased or decreased?

if the number of participants increased, the probability would increase while if they decreased, the probability would decrease

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It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

We have,

A triangular formula is used to calculate the area of a triangle, which is a polygon with three sides.

The formula for the area of a triangle is given by:

Area = 1/2 x base x height

where the base and height are two of the sides of the triangle.

If you want to calculate the area of a pentagon, you can use the formula for the area of a regular pentagon, which is given by:

Area = (5/4) x s² x tan(π/5)

where s is the length of one of the sides of the Pentagon.

Thus,

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

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