The notation (x,y)→(−x,y) means a reflection across the y axis.

Answer:

nine decided by three is three and three times three is nine so ur answer is three

The expected gain for the player from Americal Roulette is $5.18 after rounding off to the nearest cent.

Therefore the possibilities are-

The probability that the ball lands on a particular color

= no. of places of color/ total no. of places.

Let A be the event that the ball lands on red.

Let B be the event that the ball lands on black.

Let C be the event that the ball lands on green.

P(A) = 18/38

P(B) = 18/38

P(C) = 2/38

Here, an $8 bet is placed on red, and a $5 bet on black.

If the ball lands on red then the gain will be

$16 - $5

= $11

If the ball lands on black then the gain will be

$10 - $8

= $2

If the ball lands on green, the gain will be

= -$8 - $5

= - $13

Let the expected gain be E

E = sum of the products of gain and the probabilities

= gain on red X P(A) + gain on black X P(B) + gain on green X P(C)

= 11 X 18/38 + 2 X 18/38 - 13 X 2/38

= 198/38 + 36/38 - 26/38

= 197/38

= $5.1842

Rounding this off to the nearest cent gives us

= $5.18 (since the next digit is less than 5)

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Answer:

0.0275

Step-by-step explanation:

Given the sequence:

You need to remember that:

- In a Geometric Sequence, each term is found by multiplying the previous term by a constant called "Common ratio".

- In an Arithmetic Sequence, the difference between a term and its previous term is constant.

In this case, you can check if it is a Geometric Sequence by dividing the terms by the corresponding previous term:

It is not a Geometric Sequence, because it does not have a Common Ratio.

To check it if is an Arithmetic Sequence, find the difference between the terms:

As you can see, it is not an Arithmetic Sequence, because the difference between the terms is not constant.

Then, the sequence is neither geometric nor arithmetic.

Knowing this, you need to find a Recursive Formula for the sequence. You can identify that:

However, as you can notice, there is not a defined pattern between the terms shown in the exercise. Therefore, it cannot be solved.

Therefore, you can determine that the answer is: It is a Recursive Pattern. It cannot be solved.

Answer:

$180

Step-by-step explanation:

  Simple interest → ( principal * rate of interest * time in years ) ÷ 100

Here the principal is $3,000, rate of interest is 12%, years in years will be

(6/12) = 0.5 years

Using the formula:

Interest charge →  ( 3,000 * 12  * 0.5 ) ÷ 100

                          → ( 18000 ) ÷ 100

                          → $180

The probability that Mark will score either in a two-point shot or in a three-point shot is 61.5%.

P(A) = Probability of scoring in a two-point shot = 30%

P(B) = Probability of scoring in a three-point shot = 45%

P(neither) = Probability of scoring in neither shot = 25%

P(A and B) = P(A) * P(B)

Let's calculate P(A or B) using the given probabilities:

P(A or B) = P(A) + P(B) - P(A and B)

= P(A) + P(B) - (P(A) * P(B))

Substituting the values:

P(A or B) = 0.30 + 0.45 - (0.30 * 0.45)

= 0.30 + 0.45 - 0.135

= 0.615

Therefore, the probability that Mark will score either in a two-point shot or in a three-point shot is 61.5%.

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The solutions in the interval [0, 2 pi) is A. x = pi/6, 5pi/6. So, the correct answer is A. x = pi/6, 5pi/6.

We can solve the equation 12 cos^2 x - 9 = 0 as follows:

\(12 cos^2 x - 9 = 0\\4 cos^2 x - 3 = 0\) (dividing both sides by 3)

\(cos^2 x = 3/4\)

cos x = ±√(3/4) = ±(√3)/2

Since cosine is positive in the first and fourth quadrants, we have:

cos x = (√3)/2 or cos x = -(√3)/2

Taking the inverse cosine of both sides, we get:

x = arccos (√3)/2 or x = arccos (-(√3)/2)

Using the fact that cos(pi/6) = (√3)/2 and cos(5pi/6) = -(√3)/2, we can simplify these expressions as follows:

x = pi/6 or x = 5pi/6

Therefore, the solutions in the interval [0, 2 pi) are:

x = pi/6, 5pi/6

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The given equation is 12 cos^2 x - 9 = 0. We can first simplify this equation by adding 9 to both sides. The correct choice is A, with the solutions: x = π/6, 5π/6, 7π/6, 11π/6.

12 cos^2 x = 9

Then, divide both sides by 12:

cos^2 x = 3/4

Now, take the square root of both sides:

cos x = ±√(3/4)

cos x = ±(√3)/2

Since we are looking for solutions in the interval [0, 2 pi), we need to find all values of x that satisfy cos x = ±(√3)/2 within this interval.

The reference angle for cos x = (√3)/2 is π/6, which is in the first quadrant. Since cosine is positive in both the first and fourth quadrants, the solutions for cos x = (√3)/2 in the interval [0, 2 pi) are:

x = π/6 and x = (11π)/6

Similarly, the reference angle for cos x = -(√3)/2 is 5π/6, which is in the second quadrant. Since cosine is negative in the second quadrant, the solutions for cos x = -(√3)/2 in the interval [0, 2 pi) are:

x = (7π)/6 and x = (5π)/6

Therefore, the solutions for the given equation in the interval [0, 2 pi) are:

x = π/6, (5π)/6, (7π)/6, and (11π)/6

Answer: A. x = π/6, (5π)/6, (7π)/6, and (11π)/6.

To solve the given trigonometric equation in quadratic form on the interval [0, 2π), follow these steps:

1. Given equation: 12cos^2(x) - 9 = 0

2. Isolate cos^2(x) by adding 9 to both sides of the equation and then dividing by 12:
  cos^2(x) = 9/12

3. Simplify the fraction on the right side:
  cos^2(x) = 3/4

4. Take the square root of both sides to solve for cos(x):
  cos(x) = ±√(3/4) = ±√3/2

5. Find the angles x in the interval [0, 2π) with the given cosine values:

  For cos(x) = √3/2, the solutions are x = π/6 and x = 11π/6.
  For cos(x) = -√3/2, the solutions are x = 5π/6 and x = 7π/6.

6. Combine the solutions:
  x = π/6, 5π/6, 7π/6, 11π/6

So, the correct choice is A, with the solutions: x = π/6, 5π/6, 7π/6, 11π/6.

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Answer: D

Step-by-step explanation:

Took the test plus if u multiply the 2 denominators, u get x(x-3)

Mean:24.98

Median:3

Mode:3

Sorry I'm not an expert ;-; but if it's correct, can u mark me as brainiest?

A man is picked up with a bac of 0. 18. He drank 12 standard drinks over a period of 4hours. So to determine the appropriate formula for calculating blood alcohol concentration (BAC), the values "n" (number of standard drinks) and "h" (time period in hours) need to be substituted.

The appropriate formula for calculating BAC is BAC = (n * 0.6) / h, where "n" represents the number of standard drinks consumed and "h" represents the time period in hours. In this case, the man drank 12 standard drinks over a period of 4 hours. Substituting these values into the formula, we have BAC = (12 * 0.6) / 4 = 1.8 / 4 = 0.45. Therefore, the man's BAC is 0.45.

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Value of 158 Pounds is approximately 71.67 Kilograms. both are unit of measurement of weight.

To convert pounds (lbs) to kilograms (kg), you can use the conversion factor 1 lb = 0.45359237 kg. To convert 158 pounds to kilograms, you would multiply 158 by 0.45359237, which gives you 71.67 kilograms.

It is important to note that the pound and kilogram are both units of measurement for weight, but the pound is a unit commonly used in the United States, while the kilogram is the standard unit of measurement for weight in the International System of Units (SI).

When travelling or working with people from different parts of the world, it is important to be able to convert between these units of measurement to ensure accurate communication.

Additionally, it is important to have a good understanding of the difference between weight and mass, as weight is a measure of the force exerted on an object due to gravity, while mass is a measure of the amount of matter in an object, regardless of gravity.

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The statement you made is not entirely correct. The Second Shape Theorem, also known as the Second Derivative Test, does not include the converse of the First Shape Theorem. Instead, it provides additional information about the nature of critical points of a function.

The Second Shape Theorem states that if a function f(x) has a critical point at x = a (i.e., f'(a) = 0), and if f''(a) exists and is nonzero, then the function has a local minimum at x = a if f''(a) > 0, and a local maximum at x = a if f''(a) < 0.

Note that this theorem only applies to critical points where f'(a) = 0. There may be other critical points where f'(a) does not equal zero, and these points do not satisfy the conditions of the Second Shape Theorem.

In contrast, the converse of the First Shape Theorem states that if a function is differentiable at a point x = a and f'(a) = 0, then f has an extreme value at x = a. This is a separate theorem that is not directly related to the Second Shape Theorem.

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The Second Shape Theorem states that if a function f(x) has an extreme value at x=a, then the function must also be differentiable at x=a. This theorem is the converse of the First Shape Theorem, which states that if a function is differentiable at a point, then it must have a local extreme value at that point.

Essentially, the Second Shape Theorem tells us that having an extreme value at a point is a necessary condition for differentiability at that point. This theorem is particularly useful in calculus and optimization problems, where we are interested in finding the maximum or minimum values of a function. By checking for extreme values and differentiability at those points, we can determine if a function has a local maximum or minimum.

Your statement, "If f(x) has an extreme value at x=a, then f is differentiable at x=a," is actually the converse of the First Shape Theorem. However, this statement is not universally true, as extreme values can occur at non-differentiable points (e.g., sharp corners or endpoints). The Second Shape Theorem does not include the converse of the First Shape Theorem, but rather provides another method for identifying extreme values by analyzing the second derivative.

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Answer:

4 to the sixth power

Step-by-step explanation:

When multiplying exponents with the same base, you can add their powers.

Answer:

4 to the 8th power is 65,536, and 4 to the 2nd power is 16.  16 times 65,536 is  1048576

Step-by-step explanation:

The effect on the surface area is best described by the statement "the surface area is multiplied by 1/4." The correct option is D.

Given that the radius of a right cone is 5 ft and the slant height is 9 ft. If the radius and slant height of the cone are both multiplied by 1/2, then the new radius of the cone will be:5 × (1/2) = 2.5 ft

New slant height of the cone will be:9 × (1/2) = 4.5 ft. The surface area of a cone can be given by the formula:

S = πrl + πr²   Where r is the radius of the base, l is the slant height of the cone, and π is a constant (3.14). The surface area of the original cone can be calculated as:

S1 = π × 5 × 9 + π × 5² = 141.37 ft².  Now, if we multiply the radius and slant height by 1/2, the new surface area of the cone will be:S2 = π × 2.5 × 4.5 + π × 2.5² = 17.67 ft².  

Therefore, the ratio of the new surface area to the original surface area will be:S2/S1 = 17.67/141.37 = 0.125Thus, the new surface area is 1/8th (0.125) of the original surface area or multiplied by 1/8th (1/2 × 1/4). So, the surface area is multiplied by 1/4.

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Answer:

a - one dart on 3 one dart on 5

b- one dart on 3 one dart on 9

c- 3 darts on 9

d- 4 darts on 7

e-

Answer:

If a = b and b = c, then a = c

Step-by-step explanation:

The transitive property of equality tells us that if we have two things that are equal to each other and the second thing is equal to a third thing, then the first thing is also equal to the third thing.

Answer:

If a = b and b = c, then a = c

Step-by-step explanation:

i got it right on a test

The statistical range that takes random error into account, with a given probability, is known as the confidence interval. It provides a measure of uncertainty associated with a particular estimate or sample statistic. In the first paragraph, we'll provide a summary of the answer.

A confidence interval consists of two values, an upper and a lower bound, within which the true population parameter is likely to fall. The range is determined by the desired level of confidence, often expressed as a percentage (e.g., 95% confidence interval). The confidence interval considers both the variability within the sample data and the desired level of certainty. It acknowledges that due to random sampling error, the estimate obtained from a sample may differ from the true population parameter. In the second paragraph, we'll delve into an explanation of the answer.

To understand confidence intervals, we need to consider the concept of sampling variability. When we collect a sample from a population, it's rare for the sample to perfectly represent the entire population. There will be inherent variation due to random chance. This variability is known as sampling error. Confidence intervals take into account this sampling error and provide a range of values within which the true population parameter is likely to exist.

The level of confidence chosen for the interval represents the desired probability that the range will contain the true parameter. Commonly used confidence levels are 90%, 95%, and 99%. For example, a 95% confidence interval implies that if we were to repeat the sampling process many times, 95% of the resulting intervals would contain the true population parameter. The wider the interval, the higher the level of confidence, and vice versa.

In conclusion, a confidence interval is a statistical range that incorporates random error and provides an estimate of the likely range within which the true population parameter exists. It considers the desired level of confidence and takes into account the inherent variability due to random sampling error. Confidence intervals are an essential tool in statistical inference, allowing researchers and analysts to quantify the uncertainty associated with their estimates and draw meaningful conclusions from sample data.

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Answer:

160 dollars

Step-by-step explanation:

The total value in cents of all coins in the any row would be 16 cents.

In the pattern you described, the coins are arranged in rows such that each subsequent row has one more coin than the previous row. Let's analyze the values of the coins to determine the total value in cents of all the coins in the th row.

Assuming the values of the coins are as follows:

Penny: 1 cent

Nickel: 5 cents

Dime: 10 cents

We can observe that the pattern repeats after every three coins. The first three coins in the pattern are penny, nickel, dime. These coins have a total value of 1 + 5 + 10 = 16 cents.

For the subsequent rows, the pattern repeats with an offset of 3. For example, in the fourth row, the coins are penny, nickel, dime, which have the same total value as the first row, i.e., 16 cents.

So, regardless of the value of "th" (the row number), the total value in cents of all the coins in that row will always be 16 cents.

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Answer:

105

Step-by-step explanation:

0 (104) is equal to 0, so let's cross that out. 103 times 102 is definitely not equal to 105. The third one is 105. The fourth one is not 105. The last one is not 105 either.

Answer:

142.8

Step-by-step explanation:

You can go 20.4 miles per gallon of gas.

You can go 142.8 miles for 7 gallons.

Answer:

$39

Step-by-step explanation:

Substitute 4 into the x variable in the equation. From there, multiply.

9.75 x 4 = y

y = 39

The probability that the digit that is received (after having been transmitted across the 4 channels) is 0.3645

In communication systems, it is common to face the challenge of transmitting information accurately over a noisy channel. In this scenario, errors can occur during transmission, and it is essential to quantify the probability of receiving the correct information at the end of the channel.

In this problem, we are asked to calculate the probability that the digit received after transmitting a 0 across four channels is also a 0. We know that each channel can either transmit the digit correctly with probability 0.9 or incorrectly with probability 0.1. Therefore, we can use the concept of conditional probability to solve this problem.

Using Bayes' theorem, we can rewrite this as:

P(CCCC | 0 received) x P(0 received) / P(CCCC)

Here, P(CCCC | 0 received) represents the probability that all four channels transmitted the 0 correctly, given that a 0 was received. This probability can be calculated as:

P(CCCC | 0 received) = P(C) x P(C | C) x P(C | C | C) x P(C | C | C | C)

Substituting the given probabilities, we get:

P(CCCC | 0 received) = 0.9 * 0.9 * 0.9 * 0.9 = 0.6561

Similarly, we can calculate the probability of receiving a 0 in general as:

P(0 received) = P(CCCC | 0 received) x P(0) + P(IIII | 0 received) x P(1)

where P(IIII | 0 received) represents the probability that all four channels transmitted the digit incorrectly, given that a 0 was received. This probability can be calculated similarly as:

P(IIII | 0 received) = P(I) * P(I | I) x P(I | I | I) x P(I | I | I | I) = 0.1 x 0.1 x 0.1 x 0.1 = 0.0001

Substituting the given probabilities, we get:

P(0 received) = 0.6561 x 0.5 + 0.0001 x 0.5 = 0.3281

Finally, we can calculate the denominator P(CCCC) as:

P(CCCC) = P(CCCC | 0 received) x P(0) + P(CCCC | 1 received) x P(1)

where P(CCCC | 1 received) represents the probability that all four channels transmitted the digit correctly, given that a 1 was received. This probability can be calculated similarly as:

P(CCCC | 1 received) = P(I) x P(I | C) x P(I | C | C) x P(I | C | C | C) = 0.1 x 0.9 x 0.9 x 0.9 = 0.0729

Substituting the given probabilities, we get:

P(CCCC) = 0.6561 * 0.5 + 0.0729 * 0.5 = 0.3645

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Answer:

proper noun

Step-by-step explanation:

Answer:

.000066

Step-by-step explanation:

move decimal places five places to the left

Answer: The answer is 90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

square root of 5 squared minus 4 squared

Step-by-step explanation:

a^2 + b^2 = c^2

c^2 - b^2 = a^2

5^2 - 4^2 = a^2

25 - 16 = a^2

9          = a^2

√

√9=a

a=3

or

a=  √25-16

a= √9

a=3

Hope this helps!

We accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

We have given: μ = 14, x bar = 16, n = 40, s = 6,  α = 5%, = 0.05

To test μ0 : μ = 14   Vs  H1: μ > 14

Test statistics = (X bar - μx)√n / sx = (2 x 6.3245) / 6 = 2.1081

So, P value = 0.021

Conclusion: There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

P value for the hypothesis test

n = 50, x bar = 420, sx = 81, μ = 400,

To test:  H0: μ 400    Vs   H1:  μ > 400

It is right tail test

Test statistics =  (X bar - μx)√n / sx = (420 - 400) √50 / 81 =

z = 1.7459

P value = 0.04093

Declsion: We reject H0 is p value < α

Here α = 0.05

Hence P value < α

Conclusion: We accert H1 alternative that is result is population mean greater than 400.

Hence, we accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

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The thing that I notice about the two triangles in terms of their size and shape is that they  that is the triangles tend to appear to be of the same size and shape.

Congruent triangles are known to be triangles that are said to have both the same shape and also of the same size for the two triangles.

Note that in the case above, we need to understand that the factors of a triangle are composed of 3 angles and the 3 facets and when you put the three together following the description given, a Congruent triangle will be formed.

Therefore, The thing that I notice about the two triangles in terms of their size and shape is that they  that is the triangles tend to appear to be of the same size and shape.

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D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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