4. Multiply the following fractions and reduce to the lowest form.
(a)9/4 8/81
(b)20 x 4/5​

Answer:

1568.16

Step-by-step explanation:

................

a. The equilibrium interest rate,  is determined by the risk-free interest rate, the probability of repayment, and the cost of default.

b. The probability of the government repaying its loan can be calculated using the loan repayment threshold and the distribution of the output.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default.

a. To find the equilibrium interest rate,  we need to consider the risk-free interest rate, the probability of repayment, and the cost of default. The equilibrium interest rate is given by the formula: r = r + (c/p), where r is the risk-free interest rate, c is the cost of default, and p is the probability of repayment.

b. The probability that the government will repay its loan can be calculated by determining the percentage of the output distribution that exceeds the loan repayment threshold. Since 0.5 of the output is required to repay the loan, we need to calculate the probability that the output exceeds L/0.5.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default. This can be proven by comparing the repayment threshold (L/0.5) with the loan repayment amount (L + Lr). If the repayment threshold is greater than the loan repayment amount, the borrowing country would default.

Calculations and further details would be required to provide specific numerical answers for each part of the question.

Learn more about probability here: brainly.com/question/13604758

#SPJ11

The substance that has a mass of 148g and a volume of 40cm³ is   3.7g/cm³

In order to get the substance that has a mass of 148g and a volume of 40cm³, we need to first get the density of the substance.

Density is the ratio of mass per unit volume of a substance

Density = Mass/Volume

Given the following:

Mass = 148g

Volume = 40cm³

Density = 148/40

Density = 3.7g/cm³

Hence the density of the substance is 3.7g/cm³

Learn more here: https://brainly.com/question/17780219

Answer:

large number = 40

smaller number = 15

Answer: A and D

Step-by-step explanation:

This is the REAL correct answer.

Answer: B. The environment of the zoo may cause the lions to behave

differently than they would in a natural habitat.  

                                         and

D. The presence of the researchers may affect the lions' behavior.

Step-by-step explanation:  Studying lion behavior in zoos has limitations. The artificial environment of a zoo can affect how lions behave compared to their behavior in the wild.  Additionally, the presence of researchers may influence the lions' behavior, making it difficult to observe and understand their natural interactions.

B. The environment of the zoo may cause the lions to behave differently than they would in a natural habitat.

In a zoo, lions are confined to a limited space and are provided with a controlled environment.  This artificial setting may not accurately reflect their natural habitat and can influence their behavior.  For example, the availability of food, different social dynamics, and reduced hunting opportunities in a zoo can lead to altered behaviors that may not be representative of how lions behave in the wild.

D. The presence of the researchers may affect the lions' behavior.

When researchers observe animals in a zoo, their presence can influence the behavior of the lions.  The presence of unfamiliar humans can cause the animals to become more cautious, stressed, or exhibit abnormal behavior.  This could potentially alter the social interactions and dynamics observed by the researchers, making it challenging to accurately understand and interpret natural lion behavior.

Answer:

$112.80

Step-by-step explanation:

If he earns $0.235 per pack, and there are 480 packs, then our equation is:

0.235 x 480 = $112.80

The amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8

The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.

According to the given question.

Amount of money charged by Eddie for packing and sealing a pack of pens = $0.235

Therefore,

The amount of money charged by Eddie for packing and sealing packs of 480 pens

= 480 × $0.235

= $112.8

Hence, the amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8

Find out more information about unitary method here:

https://brainly.com/question/22056199

#SPJ3

Answer:

A rational number is a number such as -3/7 that can be expressed as the quotient or fraction a/b of two integers, a numerator q and a non-zero denominator b. Every integer is a rational number: for example, 10 = 10/1.

No.

\(5 \frac{1}{3} \)

So we can turn from 5 1/3 to 16/3

Note that 16/3 makes infinity decimal but if the infinity decimal can be turnt into a fraction, it will be classified as rational number.

Answer:

x > -2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8-2

-3x<6

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 6/-3

x > -2

Hey there!☺

\(Answer:\boxed{x>-2}\)

\(Explanation:\)

\(-3x+2<8\)

Let's subtract 2 from both sides of the inequality.

\(-3x+2-2<8-2\\-3x<6\)

Now divide both sides by -3.

\(\frac{-3x}{-3}<\frac{6}{-3}\)

Simplify 6/-3. Also remember that dividing a positive with a negative will give us a negative.

\(6/-3=-2\)

\(x>-2\)

Hope this helps!

Answer:

The answer is 8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

(x + 2)(x + 4)

Step-by-step explanation:

You find two numbers that you can add to get 6 and that you can multiply to get 8, which would be 2 and 4, so it's (x + 2)(x + 4)

We can conclude after answering the provided question that  If the data expression points are arranged in a curve, the function could be a quadratic, exponential, or other non-linear equation.

In mathematics, an expression is a grouping of representations, digits, and huge corporations that resemble a clear relationship or regimen. An expression can be a real number, a transitory, or a combination of the two. Addition, subtraction, pervasiveness, division, and exponentiation are examples of mathematical operators. Expressions are common in arithmetic, mathematics, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

This graph appears to be a scatter plot of data points based on the visual representation you provided. The values of an independent variable are represented by the horizontal axis (x-axis), while the values of a dependent variable are represented by the vertical axis (y-axis).

Without any additional information, determining the specific function represented by this graph is difficult. The shape and pattern of the scatter plot, on the other hand, can provide some insight into the relationship between the two variables. If the data points are arranged in a linear pattern, for example, the function could be a linear equation. If the data points are arranged in a curve, the function could be a quadratic, exponential, or other non-linear equation.

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ1

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

Learn.more about consumption

https://brainly.com/question/30623688

#SPJ4

When the consumption schedule lies below the 45-degree reference line, saving what does it means?

Answer:

x-intercept= 6

y-intercept= 4

Step-by-step explanation:

Solve for x first then solve for y.

Answer: y= -2/3x+4

The X-Intercept is -2/3

The Y- Intercept is 4

Hope this helps!! Have a wonder day everyone!! (:

Step-by-step explanation:

Step one write out the equation 2x+3y=12

Then move the variable to the right hand side and change the sign. 3y=12-2x

Then divide both sides of the equation by 3. You get y=4-2/3x

Then: Use the Commentative Property to reorder the terms. y= -2/3x+4

The maximum percentage of the channel bandwidth peak for pure ALOHA occurs at (E) one attempt every 2 slots.

What is ALOHA?

ALOHA is a computer networking term that refers to a random access protocol for wireless networks. It was created in the 1970s at the University of Hawaii. It is a protocol for transmitting packets on a shared communication channel that does not have collision detection. Each packet is transmitted with the hope of successfully reaching the destination without being obstructed by another packet or station in the network.

What is Pure ALOHA?

Pure ALOHA is a type of ALOHA protocol that is unslotted. A station may send frames at any time, and collisions are resolved by detecting them. Pure ALOHA has a maximum throughput of 18%.

When it comes to the question, the maximum percentage of the channel bandwidth peak for pure ALOHA occurs at (E) one attempt every 2 slots.

Learn more about percentage here:

https://brainly.com/question/29763752

#SPJ11

Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

Learn more about probability here:

https://brainly.com/question/14210034

#SPJ11

The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ11

One sample mean t test is used to to check whether the true average is 59k.

Average:

In statistics, average means a mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we need to find in what test can you use to check whether the true average is 59k.

While we looking into the given question we have identified the following details,

Number of students = 49

True average = 59k

Sample average = 44k

In this given situation, the perfectly suitable test is one sample t test,

Why we used this because of a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.

Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k.

To know more about Average here.

https://brainly.com/question/16956746

#SPJ4

According to the question, the average score for the variable x1 is 1.88.

To find the average score for the variable x1, we need to assign numerical values to the categories S, M, and L. Let's assign S = 1, M = 2, and L = 3, as instructed.

Suppose we have a dataset with n observations of x1. Let's denote the values of x1 as \(x1_1, x1_2, ..., x1_n\). To find the average score, we need to calculate the sum of all the scores and divide it by the total number of observations.

The average score for x1 can be calculated as:

\(\[ \text{Average score} = \frac{\text{Score of } x1_1 + \text{Score of } x1_2 + \ldots + \text{Score of } x1_n}{n} \]\)

Let's assume we have the following values for x1: S, L, M, S, M, M, L, S. The corresponding scores are 1, 3, 2, 1, 2, 2, 3, 1.

Now we can calculate the average score:

\(\[ \text{Average score} = \frac{1 + 3 + 2 + 1 + 2 + 2 + 3 + 1}{8} \]\)

            = \(\frac{15}{8}\)

            = 1.875

Rounding the answer to two decimal places, the average score for the variable x1 is 1.88.

To know more about Average visit-

brainly.com/question/18029149

#SPJ11

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

Learn more about means from

https://brainly.com/question/1136789

#SPJ11

Answer:

x=9

Step-by-step explanation:

x^2 = 5x + 81 -5x.

x^2 = 81

x=9

Answer:

4√ 2

Step-by-step explanation:

2x^2=64 and  x^2 = 32 so x= 4√ 2

Answer:

  264.5 yd²

Step-by-step explanation:

You want the area of the figure shown.

The given figure can be decomposed into a triangle and two rectangles.

The area of triangle ABH is ...

  A = 1/2bh

  A = 1/2(23 yd)(17 yd) = 195.5 yd²

The area of rectangle CDIH is ...

  A = LW

  A = (9 yd)(5 yd) = 45 yd²

The area of rectangle EFGI is ...

  A = (6 yd)(4 yd) = 24 yd²

The area of the figure is the sum of the areas of its parts:

  total area = triangle area + rectangle CDIH area + rectangle EFGI area

  total area = 195.5 yd² + 45 yd² + 24 yd²

  total area = 264.5 yd²

Answer:

hi ok just take 1 cm and then meserre the 5 the best way

Answer:

12x -7

Step-by-step explanation:

Area of the rectangle

\( = l \times b\)

\( = 8 \times 6\)

\( = 48 {in}^{2} \)

Area of the semicircles

\( = 2 \times ( \frac{1}{2} \pi {r}^{2} )\)

\( = \pi {r}^{2} \)

\( = \pi {3}^{2} \)

\( = 9\pi\)

\( = 9 \times 3.14\)

\( = 28.26 {in}^{2} \)

Area of the figure

\( = 48 + 28.26\)

\( = 76.26 {in}^{2} \)

= 76.3in²

(rounded)

Answer:

76.3in squared

Step-by-step explanation:

Answer: the answer would be six sixtieths 6/60 or simplified one tenth 1/10

Step-by-step explanation:

take seven times two plus one, which is fifteen, and put it over two(15/2), then flip it so it is two over fifteen 2/15. then multiply two fifteenths times three fourths. two times three is six, so that would go on top, and fifteen times four is sixty, so that is the bottom. So, six over sixty 6/60. now, to simplify, both six and sixty are divisible by six, so six divided by six is one, and sixty divided by six is ten, so you would have one tenth 1/10. i have also included a image showing how i worked it out below.