When might term insurance be a better option than whole life insurance???
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The value of x is 4.58. This value has been obtained by using the concept of trigonometry.

What is trigonometry?

The study of right-angle triangles, including their sides, angles, and relationships, is a topic in the field of trigonometry in mathematics.

We are given a triangle with the perpendicular as x and the hypotenuse as 8.

We know that sin θ is the ratio of triangle's perpendicular to its hypotenuse.

Here, θ = 35°

So, we get

⇒ Sin 35° = \(\frac{x}{8}\)

⇒ 0.5736 = \(\frac{x}{8}\)

⇒ x = 0.5736 * 8

⇒ x = 4.58

Hence, the value of x is 4.58.

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The table that has a constant average rate of change represents a linear function.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input.

When this rate is constant, the function is said to be linear, hence the table that has a constant average rate of change represents a linear function.

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Answer:

C

Step-by-step explanation:

2/3 + 1/4 = 11/12

Fractions are very important in many areas such as math, physics, engineering, chemistry and many more, understanding how to add fractions with unlike denominators is a fundamental skill that will help you in many aspects of your life.

Adding fractions with unlike denominators can be a bit tricky, but with the right understanding and techniques, it's definitely doable.

When we add fractions with unlike denominators, we need to first find a common denominator. A common denominator is a number that is a multiple of both denominators. Once we have a common denominator, we can add the fractions as usual by adding the numerators and keeping the denominator the same.

Here are a few examples of adding fractions with unlike denominators:

2/3 + 1/4

We can find a common denominator by finding the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12.

So, we can convert 2/3 to 8/12 by multiplying the numerator and denominator by 4.

We can convert 1/4 to 3/12 by multiplying the numerator and denominator by 3.

Now we can add the fractions by adding the numerators: 8/12 + 3/12 =

1/5 + 2/7

We can find a common denominator by finding the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35.

So, we can convert 1/5 to 7/35 by multiplying the numerator and denominator by 7.

We can convert 2/7 to 10/35 by multiplying the numerator and denominator by 5.

So, we can convert 3/4 to 9/12 by multiplying the numerator and denominator by 3.

We can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4.

Now we can add the fractions by adding the numerators: 9/12 + 4/12 = 13/12

So, 3/4 + 1/3 = 13/12

It's important to note that when adding fractions, it's also important to simplify the final result if possible.

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A good way to deal with input data that are not available is to: Estimate their values and perform a sensitivity analysis

When coming across input data that are not attainable, it may be beneficial to conduct a sensitivity analysis by estimating their values.

This process calls for utilizing accessible information and authoritative opinion to form an educated approximation of the absent data and then estimate how strongly the results of the analysis may fluctuate with alterations in those projected figures.

In this way, decision-makers become privy to the various plausible impacts respective scenarios and doubts could have on the consequence of the investigation, consequently allowing them to develop more knowledgeable decisions based on such recognition.

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Answer:Each interior angle of a regular polygon with n sides is given by the formula:

Interior angle = (n - 2) x 180 degrees / n

Exterior angle = 180 degrees - Interior angle

Step-by-step explanation: The angle that is formed between one of the polygon's sides and a line that is drawn from the side next to it is called the polygon's exterior angle. The outside point and the inside point at every vertex of a polygon are beneficial, meaning they amount to 180 degrees.

5. x=60

6. x= 31, y=57

7. x=36, y=144, z=90

The optimal Huffman code has an average code length of 1.99 bits per character.

To construct an optimal Huffman code, we begin by sorting the probabilities in descending order:

Character Probability

f                       0.27

e                       0.23

d                       0.22

c                       0.12

b                       0.09

a                       0.07

We then take the two characters with the smallest probabilities and combine them into a new "super-character" with a probability equal to the sum of their probabilities. We repeat this process, always combining the two characters with the smallest probabilities, until we have only one "super-character" left. This "super-character" represents the entire alphabet, and its optimal binary code is the Huffman code for the original set of characters.

The Huffman tree for this set of characters is shown below:

The average code length is the weighted average of the code lengths, where the weight is the probability of each character:

average code length = (0.27 × 1 + 0.23 × 2 + 0.22 × 2 + 0.12 × 3 + 0.09 ×3 + 0.07 × 3) bits per character

= 1.99 bits per character

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The correct answer is c. $100,000.

The required reserve ratio is the percentage of deposits that banks are required to hold as reserves. In this case, Bank A has total deposits of $10 million and the required reserve ratio is 9 percent. Therefore, Bank A is required to hold reserves equal to 9% of its deposits, or:

Reserves required = 0.09 x $10,000,000 = $900,000

However, the bank currently has actual reserves of $1 million, which means it has excess reserves equal to:

Excess reserves = Actual reserves - Reserves required

Excess reserves = $1,000,000 - $900,000 = $100,000

Therefore, the correct answer is c. $100,000.

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Answer: -626

Step-by-step explanation: (34)+(−33)(2)(2)(5)

34+(−66)(2)(5)

34+(−132)(5)

34+−660

−626

Answer:

$56.

$83.99.

Step-by-step explanation:

She will save  40% of $139.99

= 0.40 * 139.99

= $56.

With the discount membership costs:

139.99 - 56

= $83.99.

Answer:

81

Step-by-step explanation:

2. substitute values

(2+3+4)²

2. solve brackets first

(9)²

3. evaluate

9² = 81

Answer:

HeyYyyYyYyT

Step-by-step explanation:

1 :)

Answer:

No Solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

The memory that is left on his phone is 44gb.

Given that,

64 GB of capacity were included with Jonah's smartphone. He used 15GB total. He then recorded photos and videos from a vacation using 5 GB of memory.

Total Memory in his phone = 64gb

Jonah's used 15gb which means = 64 - 15 = 49gb

He then recorded photos and videos from a vacation using 5 GB of memory = 49 - 5 = 44Gb

The addition expression is 64-15-5 = 44gb.

Take -15 and -5 add them together get -20 then take 64 and subtract 20 leaving you with 44 GB left on his phone.

Therefore, the memory that is left on his phone is 44gb.

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The command in R to find the probability that t lies between -2.41 and 2.41 with 5 degrees of freedom is:

scss

pt(2.41, df = 5) - pt(-2.41, df = 5)

This calculates the difference between the cumulative probabilities of t being less than 2.41 and -2.41, respectively. The pt function in R calculates the cumulative distribution function (CDF) of the t-distribution. The df argument specifies the degrees of freedom.

To find the probability that a student t variable with 5 degrees of freedom lies between -2.41 and 2.41, you can use the pt() function in R with the specified values.

The pt() function in R calculates the cumulative distribution function (CDF) of the student t distribution. It takes two main arguments: the value of t for which you want to find the probability and the degrees of freedom (df) associated with the t distribution. In this case, the degrees of freedom is 5.

To calculate the probability that t lies between -2.41 and 2.41, we use the CDF values at both endpoints. The pt() function returns the probability of the t-value being less than or equal to a given value. By subtracting the CDF value at -2.41 from the CDF value at 2.41, we obtain the probability that t lies between these two values.

In R, you can use the pt() function to find the probability that a student t variable with a given number of degrees of freedom lies between two specified values. To calculate the probability that t lies between -2.41 and 2.41, you can use the following command:

//pt(2.41, df = 5) - pt(-2.41, df = 5)

Therefore, the command pt(2.41, df = 5) - pt(-2.41, df = 5) will give you the desired probability.

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Answer:

Slope = 1/4

Step-by-step explanation:

Slope = rise/ run

=> slope= 1 = rise / 4 = run

=> Slope = 1/4

The pair of vertical angles are

There are four angles made by the intersection of two lines. Those are ∠1, ∠2, ∠3 and ∠4

Vertical angles are the each of opposite angles formed when two lines meet each other at a point. So whenever two lines intersect each other four angles are formed and each set of opposite angles are called vertical angles

Here, two lines intersect each other and ∠1, ∠2, ∠3 and ∠4 are formed.

∠1,∠3 and ∠2,∠4 are the opposite angles

So the vertical angles are ∠1,∠3 and ∠2,∠4

Hence, the pair of vertical angles are

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Answer:

The value of y is 46.715

Step-by-step explanation:

4y-10+3.14 = 180

4y = 180 + 10 - 3.14

4y = 186.86

4y ÷ 4 = 186.86 ÷ 4

y = 46.715

Answer:

PEMDAS

Step-by-step explanation:

Parentheses

Exponents

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right).

I hope this helps

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The Platinum Rule test is a good way of judging if distributive justice is taking place is true.

Distributive justice is the idea that people should be treated equally and that goods, opportunities, and resources should be distributed fairly among all members of society. The Platinum Rule test is one way to evaluate whether or not distributive justice is being practiced. In order to understand the Platinum Rule, it is important to first understand the Golden Rule, which states, "Do unto others as you would have them do unto you." The Platinum Rule takes the Golden Rule a step further by recognizing that people may have different needs, preferences, and desires.

The Platinum Rule states, "Do unto others as they would have you do unto them." This means that instead of treating others the way you would want to be treated, you should treat them the way they want to be treated. The Platinum Rule test can be used to evaluate whether or not distributive justice is being practiced by asking the question, "Are people being treated in the way they want to be treated?" If the answer is yes, then distributive justice is likely being practiced. However, if the answer is no, then there may be a problem with the way goods, opportunities, and resources are being distributed.

Overall, the Platinum Rule test is a useful tool for evaluating whether or not distributive justice is taking place.

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We must spend at least the difference between $30 and the price of the T-shirt on additional items.

Let x be the additional amount of money you must spend to receive free shipping.

The total amount of money you spend on the t-shirt and additional items must be greater than or equal to $30 in order to receive free shipping.

So, the inequality that represents this situation is:

T-shirt price + x ≥ $30

where T-shirt price is the cost of the t-shirt you are buying.

To solve for x, we can subtract the T-shirt price from both sides:

x ≥ $30 - T-shirt price

This tells us that in order to receive free shipping, we must spend at least the difference between $30 and the price of the T-shirt on additional items.

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Answer: 1. 6feet 2.6.25 3.7.5 4.900 it does not anywhere say 6.5.????

Step-by-step explanation:

A graph of accuracy and sample size does not always show that accuracy decreases as sample size increases is a false.

This relationship between accuracy and sample size can vary depending on the type of data and the analysis being performed. In some cases, increasing sample size can lead to higher accuracy due to a larger representation of the population being studied. However, in other cases, increasing sample size can lead to decreased accuracy due to issues such as sampling bias or measurement error.

Therefore, the relationship between accuracy and sample size is complex and requires a long answer to fully explain. False. A graph of accuracy and sample size does not always show that accuracy decreases as sample size increases.

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Answer:

f(4) = 11

Step-by-step explanation:

f(x) = 3 x -1

Let x = 4

f(4) = 3*4 -1

     = 12-1

     = 11

f (x) = 3x - 1

f (4) = 3 × 4 - 1

f (4) = 12 - 1

f (4) = 11

Hope Helpful :-;

Answer:

b and c

Step-by-step explanation:

B AND C

(a) The diameter of the cylinder bore when the engine operates at 119.0°C can be calculated using the thermal expansion coefficient of aluminum and the initial diameter at 20.00°C.

(a) To calculate the diameter of the bore at 119.0°C, we need to consider the thermal expansion of aluminum. The formula for linear thermal expansion is ΔL = αLΔT, where ΔL is the change in length, α is the linear coefficient of thermal expansion, L is the initial length, and ΔT is the change in temperature. Since we are dealing with the diameter, which is twice the length, we can write the formula as ΔD = 2αDLΔT.

Given the initial diameter D = 96.00mm and the change in temperature ΔT = (119.0°C - 20.00°C), we can calculate the change in diameter ΔD. Adding ΔD to the initial diameter will give us the diameter at 119.0°C.

(b) To find the temperature at which the diameter of the hole is equal to 95.85mm, we can rearrange the formula for thermal expansion as ΔT = ΔD / (2αDL).

Substituting the values of ΔD = (95.85mm - 96.00mm) and D = 96.00mm, and solving for ΔT, we can determine the change in temperature. Adding the change in temperature to the initial temperature of 20.00°C will give us the temperature at which the diameter of the hole is equal to 95.85mm.

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Answer:

28

Step-by-step explanation:

V = 4 * 1 * b = 8

b = 2

SA = 2(4 + 1) * 2 + 2(4)1)

SA = 28

Answer: 28 ft²

Answer:

28 = surface area

Step-by-step explanation:

b is 2

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Answer:

Perimeter = 20

Step-by-step explanation:

Perimeter = 9 + 5 + 6

Best Regards!

The probability is 1, or 100%, that a randomly selected person from this sample believed either the true headline or the false headline.

Probability is a measure of the likelihood or chance that a specific event will occur. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

The probability that a randomly selected person from this sample believed the true headline or believed the false headline can be calculated by adding the number of people who believed the true headline to the number of people who believed the false headline and dividing by the total sample size.

In this case, the number of people who believed the true headline is 120, and the number of people who believed the false headline is 80. Therefore, the total number of people who believed either headline is 120 + 80 = 200.

The total sample size is also 200, so the probability that a randomly selected person from this sample believed the true headline or believed the false headline is:

(120 + 80) / 200 = 200 / 200 = 1

Therefore, the probability is 1, or 100%, that a randomly selected person from this sample believed either the true headline or the false headline.

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Complete Question:

In a sample of 200 people, 120 believed a true headline and 80 believed a false headline. What is the probability that a randomly selected person from this sample believed the true headline or believed the false headline?

The volume of the oblique rectangular Prism is 312 units³.

Given data:

Length = 13 units

Width = 8 units

Height = 3 units

Volume of the oblique rectangular prism is given by;

V = lbh

where;

l = length

b = width

h = height

Therefore;

V = lbhV = 13 × 8 × 3V = 312 units³

Thus, the volume of the oblique rectangular prism is 312 units³.

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