John wants his friends to figure out what number he is thinking of. He gives them three clues: It is a whole number. The number divided by 2 is greater than 9 and less than 13. The sum of its prime factors is 9. A. What are the possible numbers that John could be describing?

Answer:

h = -36

Step-by-step explanation:

-36 + 37 = 1 can be rewritten as 37 - 36 = 1. Since both equations are true, we have found the answer and checked it.

-36 is your answer.

Hope this helps. Have a nice day.

A linear function has a constant rate of change. To find the equation of the function, we need to determine the slope and y-intercept.

Using the given points, we can calculate the slope as:

slope = (change in y) / (change in x)

= (3 - 10.5) / (-0.5 - (-3))

= -7.5 / 2.5

= -3

To find the y-intercept, we can use one of the points and the slope in the slope-intercept form of a linear equation:

y = mx + b

where m is the slope and b is the y-intercept.

Using the point (-0.5, 3), we can substitute the slope and solve for b:

3 = (-3)(-0.5) + b

3 = 1.5 + b

b = 1.5

Therefore, the equation that represents the same relationship as the given points is:

y = -3x + 1.5

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Answer:

16.8ft !

7.2 + 9.6 = 16.8 ft .

Answer:

12

Step-by-step explanation:

Using Pythagorean Theorem we know that

a² + b² = c²

7.2² + 9.6² = c²

51.84 + 92.16 = 144

Then find the square root of your c and you should get 12

__________________________

Or: 7.2 + 9.6 = 16.8 ft  if that's what you mean

The solutions for H and K are:

H = e^(-15ln(2))

K = ln(2)

To solve for H and K in the equations 1 = He^15k and 2 = He^16k, we can take the natural logarithm (ln) of both sides to eliminate the exponential term.

Taking the ln of the first equation:

ln(1) = ln(He^15k)

0 = ln(H) + 15k

Taking the ln of the second equation:

ln(2) = ln(He^16k)

ln(2) = ln(H) + 16k

Now we have a system of two equations with two unknowns (ln(H) and k):

0 = ln(H) + 15k

ln(2) = ln(H) + 16k

Subtracting the first equation from the second equation, we get:

ln(2) - 0 = ln(H) + 16k - (ln(H) + 15k)

ln(2) = k

Now we can substitute the value of k back into either of the original equations to solve for H. Let's use the first equation:

0 = ln(H) + 15k

0 = ln(H) + 15ln(2)

Simplifying the equation:

ln(H) = -15ln(2)

Taking the exponential of both sides:

H = e^(-15ln(2))

Therefore, the solutions for H and K are:

H = e^(-15ln(2))

K = ln(2)

Note: The exact numerical values of H and K can be calculated using a calculator or software.

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The probability of rolling a number greater than 3 is 4/8 or 1/2, which can be expressed as a decimal as c. 0.50. therefore, option c. 0.50 is correct.

When rolling a fair, eight-sided number cube, there are eight possible outcomes, namely, the numbers 1 through 8. The probability of rolling any particular number is 1/8 because the number cube is fair and each number is equally likely to come up.

To determine the probability of rolling a number greater than 3, we need to count how many outcomes are greater than 3. Since the numbers 4, 5, 6, and 7 are greater than 3, there are 4 such outcomes.

Therefore, the probability of rolling a number greater than 3 is 4/8 or 1/2, which can be expressed as a decimal as 0.50. This means that if we roll the number cube many times, we can expect about half of the rolls to result in a number greater than 3.

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Answer:

dont listen to first guy its D 0.625

Step-by-step explanation:

bc after 3 its 4 5 6 7 8 so 5 divided by 8 is 0.625

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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Answer: 1. €37 and €17

2. €34

Step-by-step explanation:

Given Data:

Cost of 1/4kg of chorizo = €9.25

Cost of 1/2kg of cheese = €8.50

Therefore:

1. Cost of 1kg of each product.

If 1/4 kg or chorizo cost €9.25,

1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1

1kg = 1/4 + 1/4 + 1/4 + 1/4

Or

1kg = 4 * €9.25

1kg = €37

Cost of 1kg of chorizo is €37

Cost of 1kg of cheese

If 1/2kg = €8.50

Then; 1kg = 1/2 + 1/2

1kg = €8.50 + €8.50

1kg = €17

Cost of 1kg of cheese = €17

2. Cost of 2kg of cheese.

If 1kg of cheese cost €17

2kg = 2 * €17

2kg = €34

Cost of 2kg of cheese is €34

Answer:

The domain is -418 < a < 8848 where a is an integer.

Step-by-step explanation:

We see from the data given that the  domain of T(a) takes both positive and negative integer values ( 8848 meters and  -418 meters); T(a) never gets decimal values (and in real life thy won't be of much use because we are not looking for that much accuracy).

So the appropriate number type for the domain of T(a) would be integers. And if you are interested, the domain is -418 < a < 8848.

Answer:

B. 0.03110

Step-by-step explanation:

Given

Probability of Hit = 60%

Required

Determine the probability that he misses at 6th throw

Represent Probability of Hit with P

\(P = 60\%\)

Convert to decimal

\(P = 0,6\)

Next; Determine the Probability of Miss (q)

Opposite probabilities add up to 1;

So,

\(p + q = 1\)

\(q = 1 - p\)

Substitute 0.6 for p

\(q = 1 - 0.6\)

\(q = 0.4\)

Next,is to determine the required probability;

Since, he's expected to miss the 6th throw, the probability is:

\(Probability = p^5 * q\)

\(Probability = 0.6^5 * 0.4\)

\(Probability = 0.031104\)

Hence;

Option B answers the question

Answer:

b) 0.03110

Step-by-step explanation:

Got it right on the test.

Answer:

12n+9=93

solve for n

12n=93-9

n=84/12

n=7

therefore, Mr. copper bought 7 tickets.

Answer: Angle 3

Step-by-step explanation:

Vertical angles are the angles opposite to each other which form when two lines cross each other. In this example the opposite of angle 6 is angle 3.

Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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Answer:

m = 5

Step-by-step explanation:

2x5 is 10

-4 + 10 = 6

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

m=5

Step-by-step explanation:

Answer:

.20$

Step-by-step explanation:

4 1/2=4.5

4.5 divided by 22.50=.20

Answer: Jennifer bought 4 1/2 pounds of hamburger for $22.50.

What was the cost per pound?

.20cents

Answer:

Step-by-step explanation:

The minimax regret criterion, also known as the minimax regret strategy, is an approach used in decision theory by economists. It aims to minimize the maximum regret that could be experienced when choosing a particular course of action.

The minimax regret criterion is a decision-making technique that takes into account the potential regret associated with each possible decision. It recognizes that decision-makers often face uncertainty and that their choices may lead to outcomes that are different from what was initially expected. By considering the worst-case scenario or maximum regret for each decision, the minimax regret criterion helps decision-makers select the option that minimizes the potential regret.

In this approach, decision-makers evaluate the consequences of their choices by comparing the actual outcome with the best outcome that could have been achieved if a different decision had been made. The minimax regret strategy focuses on minimizing the maximum regret across all possible decisions, aiming to choose the option that would result in the least regret, regardless of the actual outcome.

Economists often use the minimax regret criterion to analyze decision problems under uncertainty, particularly when the consequences of different actions cannot be precisely predicted. It provides a framework for decision-making that incorporates risk aversion and the desire to minimize the potential for regret. By considering the worst possible outcomes, decision-makers can make more informed choices that take into account the potential regrets associated with their decisions.

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A sample size of 60 is required to estimate a population mean with a 98% confidence interval, assuming that the population standard deviation is approximately .

To calculate the required sample size to estimate a population mean with a 98% confidence interval, based on previous evidence that the population standard deviation is approximately , and a margin of error of 1.5, the following formula can be used:

n = [Z-score * (Population Standard Deviation / Margin of Error)]²

where Z-score is the critical value for a 98% confidence level, which can be found using a Z-table or a calculator.

For a 98% confidence level, the Z-score is approximately 2.33.

Substituting the values, we get:

n = [2.33 * () / 1.5]²

n = [2.33 * ] / 1.5]²

n ≈ 59.3

Rounding up to the nearest whole number, the required sample size is approximately 60.

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Answer:

4

Step-by-step explanation:

Answer:

w = 0.215

Step-by-step explanation:

(8.25 + 1) / 4w = 10.75

9.25/4w = 10.75

9.25/4w(4w) = 10.75(4w)

9.25 = 43w

9.25/43 = w

w = 0.215

The total cost of an order is $900 if 50 invitations cost is $298.50

To calculate the cost of an order of personalized invitations, you would need to know the cost of each invitation and the one-time design fee.

Let calculate the cost of each invitation and the one-time design fee as follows:

50 Invitations: $298.50 / 50 = $5.97 per invitation

500 Invitations: $2049 / 500 = $4.098 per invitation

Design Fee: ($2049 - ($5.97 × 50)) / 500

= $3.90 one-time design fee

If you wanted to order 150 personalized invitations, the cost would be:

150 Invitations x $5.97 per invitation = $896.50

Plus one-time design fee of $3.90 = $890.40

Total cost = $896.50 + $3.90 = $900.

Hence, the total cost of an order is $900 if 50 invitations cost $298.50

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Answer:

68 are not blue

Step-by-step explanation:

it's in the pic above if u need the steps.

Answer:

Row n ---> 27th term is 27.

Row T ---> 27th term is 80.

Step-by-step explanation:

To find the 27th term for the top row, row n, you will use this formula:

an = a1 + f × (n-1)

The first number = 1

The common difference (f) = 1

a27 = 1 + 1 × (27-1)

a27 = 1 + 27 - 1

a27 = 28 - 1

a27 = 27

So, the 27th term is 27.

We will do the same for the row T.

an = a1 + f × (n-1)

The first number = 2

The common difference (f) = 3

a27 = 2 + 3 × (27-1)

a27 = 2 + 81 - 3

a27 = 83 - 3

a27 = 80

So, the 27th term is 80.

1. Consider a series that changes deterministically: AYt = a. Given initial value of Yo, write the general solution of the difference equation. A difference equation of the form Ay(t) = a has a general solution of y(t) = A + at, where A is a constant of integration. Therefore, the general solution for the difference equation in question is y(t) = Yo + at.

2. In a trend stationary process, the trend is deterministic. Therefore, it is stationary after removing the trend. In a stochastic trend, the trend is stochastic, and the process is non-stationary even after the trend is removed. Since the process above has a deterministic trend, it is a trend stationary process.

3. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

4. Consider now a series with the following motion: AY₁ = a + et. Given the initial value of Yo, write the general solution of the difference equation. The difference equation Ay(t) = a + et has a general solution of y(t) = (a/e) + A + Bt + ut, where u(t) is a stationary noise term with zero mean and constant variance. Therefore, the general solution to the difference equation in question is y(t) = a/e + Yo + Bt + ut.

5. Explain whether the process above is trend stationary or stochastic trend. Since the process above has a stochastic trend, it is a non-stationary process.

6. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

7. The hypothesis for a unit root test is that a series has a unit root, meaning it is non-stationary. The Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and testing whether the coefficient on the lagged level is significantly different from zero

8. The Augmented Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and the lagged first difference of the series and testing whether the coefficient on the lagged level is significantly different from zero.

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Based on the given confidence interval of 30 ± 4.3 kilograms, there is convincing evidence that the true mean weight of wombats in this wildlife refuge is higher than 25 kilograms.

The reason is that the confidence interval of 30 ± 4.3 kilograms does not contain the value of 25 kilograms, which is the claimed average weight of wombats in the wild.

The fact that the sample mean of 30 kilograms is much higher than 25 kilograms further supports the conclusion.

The statement "No, the wombats in this wildlife refuge are a subset of all wombats in Australia.

The mean weight for this sample should be the same as the mean weight for all of Australia" is not entirely accurate because there could be regional differences in wombat weights within Australia.

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Option D (9) is not a probability and is not a possible answer choice for a probability question.

To find the probability of the intersection of events A and B (denoted as P(A ∩ B)), we need to know how many elements are in both A and B. Since there are 2 repeated elements between the events, this means that there are a total of 7 - 2 = 5 distinct elements between them.

Therefore, P(A ∩ B) = 5/7.

Note that none of the answer choices provided match this result exactly. Option A is the closest with a probability of 4/7, but this is the probability of A alone, not the intersection of A and B. Option B (2/7) is the probability of B alone and option C (5/7) is the probability of either A or B occurring, not the intersection.

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Answer:

A.   L = 240 m

Step-by-step explanation:

use similar triangle

L / 60 = 80 / 20

L = (80 * 60) / 20

L = 240 m

The required distance across the lake is 240 m. Hence correct option is A.

Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.

Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m

Thus, the required distance across the lake is 240 m.

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The missing value is the x-coordinate of the missing point, which we've just found to be "-2". Therefore, the two points are (1,3) and (6,-5).

To find the missing value, let's use the slope formula:

slope = (y2 - y1) / (x2 - x1)

We are given one point (6, -5) and the slope -2. Let's assume the missing value is y and the corresponding x-value is x.

Using the slope formula, we can plug in the values:

-2 = (-5 - y) / (6 - x)

Now, we can cross-multiply:

-2(6 - x) = -5 - y

Simplifying further:

-12 + 2x = -5 - y

To isolate y, we'll rearrange the equation:

y = -5 + 12 - 2x

y = 7 - 2x

Therefore, the missing value is 7 - 2x.

To find the missing value, we need to use the slope formula:

slope = (change in y) / (change in x)

We know that the slope is -2, and we have one point (6,-5). Let's call the missing value "x" and the y-coordinate of the missing point "y". Then we can set up an equation:

-2 = (y - (-5)) / (x - 6)

Simplifying this equation, we get:

-2 = (y + 5) / (x - 6)

-2(x - 6) = y + 5

-2x + 12 = y + 5

y = -2x + 7

So the missing value is the x-coordinate of the missing point, which we've just found to be "-2". Therefore, the two points are (1,3) and (6,-5).

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The correct answer is (d) all of these. when ls1 is actuated and ls2 is not, all the rungs of the program will be evaluated, and as a result, all the output conditions will be true.

In the given ladder logic program, when ls1 is actuated and ls2 is not, all the rungs of the program will be evaluated from left to right and top to bottom to determine the output conditions.

Looking at the program, we see that if ls1 is actuated, it will turn on the output O:2/5 and set the latch L1. Then, in the second rung, if ls2 is not actuated, it will turn on the output O:2/6 and set the latch L2. Finally, in the third rung, if both ls1 and ls2 are not actuated and both latches L1 and L2 are set, it will turn on the output O:2/7.

Therefore, when ls1 is actuated and ls2 is not, all the rungs of the program will be evaluated, and as a result, all the output conditions will be true. Hence, all of the following statements are true:

a) pilot light pl1 (o:2/5) is on.

b) pilot light pl2 (o:2/6) is on.

c) pilot light pl3 (o:2/7) is on.

Therefore, the correct answer is (d) all of these.

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