I need help its asking me to find the absolute value of the difference of the theoretical and experimental probabilities.

Answer:

Oliver's living expenses- 520(.1)=$52

The definitions in Column 1 match with the following vocabulary words in Column 2:

A collection of methods for collecting, displaying, analyzing, and drawing conclusions from data: Descriptive statistics

The definitions in Column 1 correspond to specific vocabulary words from Column 2. Each definition describes a statistical concept or method. The corresponding vocabulary words are as follows:

A collection of methods for collecting, displaying, analyzing, and drawing conclusions from data: Descriptive statistics.

The most common result (the most frequent value) of a test, survey, or experiment: Mode.

The score that divides the results in half - the middle value: Median.

The average of a distribution is equal to the summation of x divided by the number of observations: Mean.

The difference between the highest and lowest score in a distribution: Range.

Probability distributions whose graphs can be approximated by bell-shaped curves: Normal distribution.

The average of the squared distances of the data values from the mean: Variance.

The positive square root of the variance: Standard deviation.

The number of standard deviations a point is from the population mean: z-score.

The branch of statistics that involves organizing, displaying, and describing data: Statistics.

These vocabulary words are fundamental in statistical analysis and are used to describe and interpret data in various fields of study

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Answer:

1000xm

Step-by-step explanation:

1 meter = 3.2808 feet, hence. 9.8424 x 10^8 feet in 1 second. 1 foot in x seconds. hence it takes 1 / (9.8424 x 10^8) = 0.10168 x 10^(-8) seconds. ➡️1km = 1000xm⬅️

It will take light approximately 3.0 x 10⁻⁵ seconds to travel one meter.

To find out how long it will take light to travel one meter, we need to convert the given distance of 10,000 km to meters and the time of 3.0 x 10² seconds to seconds.

Given:

Distance traveled by light = 10,000 km

Time taken by light = 3.0 x 10² seconds

To convert km to meters, we know that 1 km = 1 x 10³ m, so:

10,000 km = 10,000 x 1 x 10³ m = 1 x 10⁷ m

Now, we can find the time taken to travel one meter by dividing the total time by the total distance:

Time taken to travel one meter = Total time / Total distance

Time taken to travel one meter = (3.0 x 10² seconds) / (1 x 10⁷ m)

To simplify the expression, we can cancel out one factor of 10 from the numerator and denominator:

Time taken to travel one meter = (3.0 x 10) / (1 x 10⁶ m)

Now, we get the final answer:

Time taken to travel one meter = 3.0 x 10⁻⁵ seconds

So, it will take light approximately 3.0 x 10⁻⁵ seconds to travel one meter.

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The missing options that makes up the distance formula between two coordinates are; (x₂ - x₁)² and d²

How to find the distance between two coordinates?

The formula for distance between two coordinates is;

d = √[(y₂ - y₁)² + (x₂ - x₁)²]

where;

(x₁, y₁) is the coordinate of the first point

(x₂, y₂) is the coordinate of the second point

Now, this distance formula can also be rewritten when we square both sides to get;

(y₂ - y₁)² + (x₂ - x₁)² = d²

Thus, the missing options that makes up the distance formula between two coordinates are; (x₂ - x₁)² and d²

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Answer:

Two things we need to remember:

Speed of light = c = 299,792,458 m / s

This means that the light in one second covers a distance of 299,792,458 m

And for a circle of radius R, the is:

C = 2*pi*R

where:

pi = 3.14

Then if the radius of the earth is 6,378.1 km, then the of the earth is:

C = 2*(3.14)*6,378.1 km = 40,054.468 km

And we know that 1 km = 1000m

Then the circumference of the earth is:

C = (40,054.468*1000) m = 40,054,468 m

Now we need to see how many times the light can encircle the earth per second. (we assume that the light can move in a circular path, this is not really accurate to the reality)

We know that in one second the light can cover a distance of:  299,792,458 m

And the circumference of the earth is: 40,054,468 m

The quotient between these two distances is the number of times that the light can encircle the earth:

N = (299,792,458 m)/(40,054,468 m)  = 7.5

So light could encircle the earth 7.5 times per second.

If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

acc to our question-,

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The best description of any possible triangles with the given measurements ab = 10 cm, bc = 6 cm, and angle a = 24 degrees is Case #3: There are 2 different types of triangles that can be created using those measures, indicating an ambiguous case.

To analyze the possible triangles, we need to apply the triangle inequality theorem and consider the angle measures. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Case #3: There are 2 different types of triangles that can be created using those measures (i.e., an ambiguous case is possible).

To determine if an ambiguous case is possible, we need to consider the relationship between the given angle and the side lengths. In an ambiguous case, two different triangles can be formed using the same angle and side lengths.

To determine if this is the case, we can use the law of sines, which states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. Let's apply the law of sines to check if two different triangles can be formed.

sin A / a = sin B / b = sin C / c

Using the given measurements, we have:

sin A / ab = sin B / bc

sin 24° / 10 cm = sin B / 6 cm

To find the value of sin B, we can rearrange the equation:

sin B = (sin 24° / 10 cm) * 6 cm

Using a calculator, we find sin B ≈ 0.096

Since the sine function is positive in both the first and second quadrants, there are two possible values for angle B, which are approximately 5.5 degrees and 174.5 degrees. Therefore, an ambiguous case is possible, and we can form two different triangles with the given measurements. Hence, Case #3 is the best description.

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Complete Question:

ab = 10cm bc =6cm angle a=24

which case best describes any possible triangle(s) with those measures?

case #1: it is impossible to create a triangle using those measures.

case #2: there is only one unique right triangle with the right angle at vertex 'a' that can be created using those measures.

case #3: there are 2 different types of triangles that can be created using those measures. (i.e. there is an ambiguous case is possible)

case #4: there is only one unique triangle that can be created using those measures because bc > ab.

The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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H0 says that the population means are equal.

In the context of a hypothesis test for the difference of means between two independent populations (x1 and x2), the null hypothesis (H0) states the following about the relationship between the two population means:
H0 says that the population means are equal.
In other words, the null hypothesis assumes that there is no significant difference between the means of the two populations. The alternative hypothesis would then state that the population means are different. Remember that hypothesis testing is a process to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Question 16:

\(\alpha\) and \(\beta\) are the roots of the equation.

That means \((x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\\\)

\((x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\)

          \(2x^{2} -6x+5 = 0\\x^{2} -3x+\frac{5}{2} =0\)

          \((x-\alpha )(x-\beta ) =x^{2} - (\alpha +\beta )x +\alpha \beta\)

So,

\(x^{2} - (\alpha +\beta )x +\alpha \beta = x^{2} -3x+\frac{5}{2}\)

Compare coefficient

\(\alpha +\beta = 3\\\alpha \beta = \frac{5}{2}\)

Consider \(\frac{\beta }{\alpha } + \frac{\alpha }{\beta }\)

\(\frac{\beta }{\alpha } + \frac{\alpha }{\beta } =\frac{ \alpha ^{2} +\beta ^{2}}{\alpha \beta }\)

\(= \frac{(\alpha +\beta )^{2} -2\alpha \beta }{\alpha \beta } \\= \frac{3^{2} -2*\frac{5}{2} }{\frac{5}{2} } \\= 4*\frac{2}{5} \\=\frac{8}{5}\)

Ans: 8/5

Question 19:

\(f(x+2) = 2x^{2} +5x-3\\\)

Substitute x with -1

So,

\(f(1) = 2(-1)^{2} +5(-1)-3\\=2-5-3\\=-6\)

Ans: -6

True. Empirical research involves using observation and experience to gather data and test hypotheses. This process is primarily logical, as it involves reasoning and making sense of the data. While mathematical tools may be used in some aspects of empirical research, they are not the foundation of the process.

True. Empirical research is primarily a logical operation rather than a mathematical one. Empirical research involves observation and gathering of data through direct experience, experiments, or measurements and hypotheses, which requires logical reasoning and analysis to draw conclusions. While mathematical operations and calculations can be a part of the empirical research process, they are not the main focus. The primary focus is on using logic to interpret the collected data and determine the validity of the results.

By quantifying the evidence or understanding the evidence in a qualitative way, researchers can answer empirical questions that need to be articulated and answered with the data collected (often called data). Research designs vary by field and research question. Many researchers, especially in the social sciences and education, have provided good and varied observation models to better answer questions that cannot be studied in the laboratory.

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In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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The formula used to calculate the likely size of the chance error is SE = s/√n where SE is the standard error, s is the standard deviation, and n is the sample size. In this problem, there are eight students, so n = 8.

The standard deviation can be calculated using the formula σ = √(Σ(x - µ)² / n), where σ is the standard deviation, x is each data point, µ is the mean, and n is the sample size. Using the given data, the mean can be calculated as follows:

Mean = (9.93 + 9.96 + 10.10 + 10.02 + 10.02 + 9.90 + 9.93 + 9.92) / 8 = 9.985Next, calculate the sum of the squared deviations from the mean:Σ(x - µ)² = (9.93 - 9.985)² + (9.96 - 9.985)² + (10.10 - 9.985)² + (10.02 - 9.985)² + (10.02 - 9.985)² + (9.90 - 9.985)² + (9.93 - 9.985)² + (9.92 - 9.985)²Σ(x - µ)² = 0.0211.

Then, calculate the variance by dividing the sum of squared deviations by the sample size:

Variance = Σ(x - µ)² / n

Variance = 0.0211 / 8Variance = 0.00264Finally, calculate the standard deviation by taking the square root of the variance:

Standard deviation = √(Σ(x - µ)² / n)Standard deviation = √(0.00264)Standard deviation = 0.05134The standard error can now be calculated by dividing the standard deviation by the square root of the sample size:

Standard error = s/√nStandard error = 0.05134/√8Standard error = 0.01813

Given the measurements of eight students to determine the correct length of a ruler in a laboratory, we can calculate the size of the chance error using the formula SE = s/√n. This formula calculates the standard error, where s is the standard deviation and n is the sample size. To find the standard deviation, we use the formula σ = √(Σ(x - µ)² / n), where x is each data point, µ is the mean, and n is the sample size. Using the given measurements, the mean of the data is calculated to be 9.985. Using this mean, we can calculate the sum of the squared deviations from the mean, which is equal to 0.0211. Then, we can calculate the variance by dividing the sum of squared deviations by the sample size, which is equal to 0.00264. Finally, the standard deviation can be calculated by taking the square root of the variance, which is equal to 0.05134. By dividing the standard deviation by the square root of the sample size, we can find the standard error, which is equal to 0.01813. Therefore, we would expect the likely size of the chance error to be about 0.018 inches or so.

Given the measurements of eight students, we used the formulas SE = s/√n and σ = √(Σ(x - µ)² / n) to calculate the size of the chance error. The mean of the data was found to be 9.985, and the sum of the squared deviations from the mean was equal to 0.0211. We used these values to calculate the variance, which was equal to 0.00264, and the standard deviation, which was equal to 0.05134. Finally, we found the standard error to be equal to 0.01813. Therefore, we would expect the likely size of the chance error to be about 0.018 inches or so.

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Answer:

4 minutes per lap

Step-by-step explanation:

20/5 is 4

Substituting the values mean = 70 and standard deviation = 10, we can find the minimum score necessary to be in the top 60% of the distribution.

In a normal distribution, the area under the curve represents the probability. To find the minimum score necessary to be in the top 60% of the distribution, we need to find the score that corresponds to the 60th percentile.

Since the normal distribution is symmetric, we can find the cutoff point by subtracting the area below the 60th percentile from 1. By doing so, we are essentially finding the area to the right of the cutoff point.

In this case, we want to find the z-score (standardized score) that corresponds to the 60th percentile. We can use a standard normal distribution table or a calculator to find this z-score.

Once we have the z-score, we can use the formula:

X = mean + (z-score * standard deviation)

Substituting the values mean = 70 and standard deviation = 10, we can find the minimum score necessary to be in the top 60% of the distribution.

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Answer:

$ 26 . 25this is a answer

Answer:

The last answer choice $8.75

Step-by-step explanation:

(35*25)/100

= 875/100

=8.75

x= arctan (114/180)

=32.34744..

rounded to the nearest tenth =32.3

Step-by-step explanation:

The original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.

To check the result after factoring a polynomial, one can use the FOIL method to ensure that the factored polynomial is equivalent to the original polynomial. The FOIL method stands for First, Outer, Inner, Last, and is used to multiply two binomials. To check the result, one would use the FOIL method to multiply the factored polynomial, and compare the result to the original polynomial. For example, let’s consider the polynomial\(x^2+7x+12\). After factoring, this can be written as (x+4)(x+3). To check the result, one would multiply the two binomials together, (x+4)\((x+3) = x^2 + 3x + 4x + 12\). Comparing this to the original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.

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The probability that exactly two customers in the sample will default on their payments is 0.9997.

This is a binomial probability problem with n = 5 trials and p = 3% = 0.03 probability of success (default) on each trial.

The probability of exactly two defaults can be calculated using the binomial probability formula:

P(x = r) = nCr * p^r  * q^n-r

where q = 1 - p = 1 - 0.03 = 0.97

P(x = 2) = (5C0 × 0.03⁰ × 0.97⁵⁻⁰) + (5C1 × 0.03¹ × 0.97⁵⁻¹) + (5C2 × 0.03² × 0.97⁵⁻²)

P(x = 2) = 0.9997

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If the two expression be 14 - 3a and 7a - 9 then the combined term exists 4a + 5.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression: (Math Operator, Number/Variable, Math Operator).

The addition, subtraction, multiplication, and division mathematical operations are used to create mathematical expressions.

Let the two expression be 14 - 3a and 7a - 9

Expression one - 14 - 3a

Expression two - 7a - 9

Combining both two terms

14 - 3a + (7a - 9)  = 14 - 3a + 7a - 9

simplifying the above equation, we get

= (-3a + 7a) + 114 - 9)

=  4a + 5

If the two expression be 14 - 3a and 7a - 9 then the combined term exists 4a + 5.

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Answer:

\(cos^{-1}(\frac{5}{13} )\)

Step-by-step explanation:

We can see that x is at ∠A.

To find x:

cosx° = 5/13

x = cos^-1(5/13)

sinx° = 12/13

x = sin^-1(12/13)

tanx° = 12/5

x = tan^-1(12/5)

Out of our answer choices, the only one that fits is the inverse cos(5/13).

Answer:

inverse cos 5/13

Step-by-step explanation:

i took the quiz

The probability of getting a z-score greater than 0.15 is approximately 0.5693.

The probability of getting more than 2100 nails in a bag is approximately 0.5693.

The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.

Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.

To answer the question, we need more information on the distribution of the number of nails in a bag.

Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.

With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:

z = (2100 - 2009) / 59.11 = 0.15

Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.

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Answer:

9

Step-by-step explanation:

The rates of each cyclist are 17mi/h and 20mi/h

What is rate?

Rate is a ratio that compares two different quantities which have different units.

In this comparison, one unit is taken to be a standard unit in which the other is compared with.

Analysis:

Let the speeds of both cyclists be x,  x+3

distance travelled by x cyclist = 2x

distance travelled by (x+3) cyclist = 2(x+3)

Total distance = 2x + 2(x+3) = 74 miles

2x +2x +6 = 74

4x + 6 = 74

4x = 74 - 6

4x = 68

x = 68/4 = 17mi/h

The other cyclist speed is x +3 = 17 +3 = 20mi/h

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Answer: 0.6 is the answer

Answer:

$38.35

Step-by-step explanation:

take $180 subtract $58.35 that will leave you with $125.65 then subtract $82.80 then that will leave you with $38.35

Answer:

x = -7

Step-by-step explanation:

So we are asked to find what x is equal to in the equation:

\(\frac{x}{7}-4=-5\)

In other words, we are asked to solve for x.

\(\frac{x}{7}-4=-5\)

Add 4 to both sides of the equation.

\(\frac{x}{7}=-1\)

Multiply both sides by 7.

x = -7

So we have solve the equation for x and have found that x = -7.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

The rest are kinetic

Step-by-step explanation:

Potential: Standing at top of slide.

                JUICE IN ORANGE

UNBURNED COAL

BATTERY

FROG SITTING

BOOK ON HIGH SHELF

PARKED CAR