The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 70% chance it will be good tomorrow, a 20% chance it will be indifferent, and a 10% chance it will be bad. If the weather is indifferent today, there is a 60% chance it will be good tomorrow, and a 30% chance it will be indifferent. Finally, if the weather is bad today, there is a 40% chance it will be good tomorrow and a 40% chance it will be indifferent. Questions: 1. What is the stochastic matrix M in this situation? M = Answer: 2. Suppose there is a 20% chance of good weather today and a 80% chance of indifferent weather. What are the chances of bad weather tomorrow?

Answers

Answer 1

The stochastic matrix M in this situation is:

| 0.7  0.2  0.1 |

| 0.6  0.3  0.1 |

| 0.4  0.4  0.2 |

B. To find the chances of bad weather tomorrow, we need to multiply today's weather probabilities with the corresponding transition probabilities to get the probabilities of each weather condition tomorrow, and then add up the probabilities of bad weather tomorrow.

Let the weather today be represented by the row vector P = [0.2 0.8 0], where the first entry is the probability of good weather, the second entry is the probability of indifferent weather, and the third entry is the probability of bad weather.

To find the weather probabilities tomorrow, we multiply P by the stochastic matrix M:

P' = P * M = [0.7*0.2+0.6*0.8+0.4*0, 0.2*0.7+0.3*0.8+0.4*0.4, 0.1*0.7+0.1*0.3+0.2*0.4]

= [0.62, 0.37, 0.11]

Therefore, the probability of bad weather tomorrow is 0.11, or 11%.

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Related Questions

I 10. One day, Timmy works 4 hours and makes an additional $50 in tips. Another day, he works 6 hours and gets an additional $70 in tips. This makes his total earnings 4h + 50 - 6h + 70 - M, where M is the money he earns and h is the wage he makes per hour. If he makes $205, how much did he make as a salary per hour?





Pls help​

Answers

Answer:

$8.50/h

Step-by-step explanation:

I am unsure of the - in the equation. This should be 4h+50+6h+70=M

then we would set the equation equal to the $205

205=4h+50+6h+70

if we simplify we have

205=10h+120

then we would get the h by itself and we get

205-120=10h

85.00=10h

85.00/10=10h/10

8.50=h

Troy went to Las Vegas over Spring Break. He spent some time playing Blackjack. Troy's gambling winnings during this trip totaled $2,500; his losses during the trip were $1,300. How much should Troy include in gross income related to his gambling activities?

Nicci is an unmarried taxpayer with no dependents. She received a $720 refund from the state of Utah in March 2022 (this refund was the result of filing her 2021 tax return in early 2022). How much of this refund must Nicci include in gross income if she claimed the standard deduction on her 2021 return?

Answers

Troy should include $1,200 in gross income related to his gambling activities.

Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

For Troy, the amount he should include in gross income related to his gambling activities is the net winnings, which is calculated by subtracting his losses from his winnings.

Net Winnings = Winnings - Losses

Net Winnings = $2,500 - $1,300

Net Winnings = $1,200

Therefore, Troy should include $1,200 in gross income related to his gambling activities.

For Nicci, if she claimed the standard deduction on her 2021 tax return, she does not need to include the state refund in her gross income. State tax refunds are generally not taxable if the taxpayer did not itemize deductions in the year for which the refund is received. Since Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

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Find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point. V t2 + 3, y = ln(t? + 3), z = t; (2, In 4, 1)

Answers

The given parametric equations are given below:v = t² + 3 y = ln(t² + 3) z = tWe have to find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point (2, ln 4, 1).

Explanation:Let (x₀, y₀, z₀) = (2, ln 4, 1) be the specified point.To find the tangent line, we need to find a point and a vector. We already have the point, we can find the vector by taking the derivative of each component of the vector function:(v, y, z) = (t² + 3, ln(t² + 3), t)Differentiating each component we get:(v', y', z') = (2t, (2t / (t² + 3)), 1)Now evaluating the derivatives at t = 2, we get:(v'(2), y'(2), z'(2)) = (4, 4 / 7, 1)Thus the tangent vector is (4, 4 / 7, 1).We can write the equation for the line in vector form as:r = r₀ + t vwhere r₀ is the initial position vector (2, ln 4, 1), v is the direction vector (4, 4 / 7, 1), and t is a parameter.We can write the parametric equation of the line as:(x, y, z) = (2, ln 4, 1) + t(4, 4 / 7, 1)

Multiplying the vector (4, 4 / 7, 1) by t and adding it to the point (2, ln 4, 1), we get the following equation:(x, y, z) = (2 + 4t, ln 4 + (4 / 7)t, 1 + t)The above equation gives the required parametric equations for the tangent line to the curve at the specified point.

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP TY

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP TY

Answers

Answer:

13m+8

Step-by-step explanation:

(20m+3)+(-7m+5)

(20m-7m)+(3+5)

13m+8

Answer:

B.)  13m+8

Step-by-step explanation:

Hope this helps and have a great day!    :)

suppose there are 24 men and 74 women in the local lions club. two members are chosen at random each year to serve on the event planning committee. what is the probability of choosing two members at random and the first is a woman and the second is a man? round your answer to four decimal places, if necessary.

Answers

The probability that the first member chosen is a woman and the second member chosen is a man is given as follows:

0.1868 = 18.68%.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probabilities for each event in this problem are calculated as follows:

First person is a women: 74 out of 98 people.Second person is a men when the first person is a women: 24 out of the remaining 97 people.

Hence the probability that the first member chosen is a woman and the second member chosen is a man is obtained as follows:

p = 74/98 x 24/97

p = 0.1868.

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The standard deviation of a sampling distribution of sample means is also called the _____.

a. sampling deviation.

b. distribution error.

c. sampling error.

d. standard error

Answers

The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.

The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.

The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:

Standard Error = (Population Standard Deviation) / √(Sample Size)

The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.

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the sum of 2 numbers is 31 and their difference is 18

Answers

Answer:

(24.5, 6.5)

Step-by-step explanation:

We can set up two equations:

x+y=31

x-y=18

Now, when we add the two equations, we get

2x=49

When we divide we get

24.5 for x.

Now we can plug this in the first equation:

24.5+y=31

minus 24.5 on both sides to get

y=6.5

Hope this helped!

~Cain

Answer:

The sum of two numbers is 31 and their difference is 18

what are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 31. In other words, x plus y equals 31 and can be written as equation A:

x + y = 31

The difference between x and y is 17. In other words, x minus y equals 17 and can be written as equation B:

x - y = 18

Now solve equation B for x to get the revised equation B:

x - y = 18

x = 17 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 31

17 + y + y = 31

17 + 2y = 31

2y = 13

y = 6

Now we know y is 6.5 .Which means that we can substitute y for 6.5 in equation A and solve for x:

x + y = 31

x + 6.5 = 31

X = 25.5

Summary: The sum of two numbers is 31 and their difference is 18. What are the two numbers? Answer: 25.5 and 6.5 as proven here:

Sum: 25.5 + 6.5 = 31

Difference: 25.5 - 6.5 = 19

What's the vertex and is it a max or min

What's the vertex and is it a max or min

Answers

A vertex can be the max or min. The vertex is the highest point or lowest point of a function.

Answer:

the vertex is (-2,0), and the max or min is (-2,0)

Mr. brown's statistics class consists of 21 seniors. the class took two quizzes in one week, and 12 of the students in the class passed both quizzes. what is the probability that the same students who passed the first quiz also passed the second quiz given that 19 students passed the first quiz? a. b. c. d.

Answers

Given that 19 students completed the first quiz, the probability that the same children who finished the first exam also passed the second quiz is P(S/F) = 0.63.

How is probability determined?

How possible something is to happen is determined by its probability. By dividing the whole significance level by the total number of ways an event could occur, one can calculate the likelihood.

In this situation, conditional probability is used. P represents the conditional probability like an occurrence, A, given that B has occurred (AIB). We would estimate the likelihood as

P(AIB) is defined as (Probability of A and B)/Probability of B.

Probability of S and F in the iven question is 12/21. (12 of the students in the class passed both quizzes)

Probability of S = 19/21

Therefore,

P(SIF) = (12/21) / (19/21)

(PSIF) = 12/21 * 21/19

(PSIF) = 12/19 = 0.63

The correct option is A

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The complete question is-

Mr. Brown's statistics class consists of 21 seniors. The class took two quizzes in one week, and 12 of the students in the class passed both quizzes. What is the probability that the same students who passed the first quiz also passed the second quiz given that 19 students passed the first quiz?

A. P(S/F) = 0.63

B. P(S/F) = 0.2

C. P(S/F) = 0.8

D. P(S/F) = 1.31

87 times 422 divided by 4

Answers

Answer:

9178.5

Step-by-step explanation:

Follow PemDas

From Left to Right, you multiply 87 x 422, which is 36,714

Then, thake that number and divide it by 4, giving you 9,178.5

The balance in an account after several transaction is shown in the table. Is the relationship between the balance and the number of withdrawals of linear? Blank If so, find the constant rate of change. Write the slope as a unit rate and explain your reasoning. ​

The balance in an account after several transaction is shown in the table. Is the relationship between

Answers

It should be noted that the relationship between the balance and the number of withdrawals is linear, because there is a constant amount of $10 per withdrawal.

How to express the relationship

To confirm this, we can calculate the differences in balance for each pair of withdrawals:

Between withdrawals 3 and 2: 170 - 140 = 30

Based on the information, the starting amount is $200.

The equation to illustrate the withdrawal will be:

= 200 - 10w

where w = withdrawal.

These differences are constant, which means the rate of change of the balance is constant too.

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Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling

Answers

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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.In the right triangle at the right, cos y° = 5/13 If x+2z=7.1 what is the value of x?A. 67.3B. 22.6C. -7.76D. -30.1

Answers

Value of x is equal to -7.76. The correct option is c.

In the right triangle given, the cosine of angle y° is equal to the ratio of the length of the adjacent side to the length of the hypotenuse. We are given that cos y° = 5/13.

Now, let's analyze the equation x + 2z = 7.1. Since the value of x is being asked for, we need to isolate x on one side of the equation. To do that, we can subtract 2z from both sides:

x = 7.1 - 2z

However, the value of z is not provided in the question, so we cannot determine the exact value of x. Therefore, none of the options provided (A, B, D) can be considered correct.

The correct explanation for this question is that none of the given options is the correct value for x since the value of z is unknown. It's important to carefully analyze the information provided and determine if all the necessary variables are given before attempting to solve the equation. In this case, without knowing the value of z, we cannot determine the value of x.

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HEYA MRNG ALL

:-QUESTION:-

*AD is a diameter of a circle and AB is a chord if AD = 34 cm, AB = 30 cm then find the distance of AB from the centre of chord.*​

Answers

HOPE THIS HELPS YOU.

GOOD NIGHT

HEYA MRNG ALL :-QUESTION:-*AD is a diameter of a circle and AB is a chord if AD = 34 cm, AB = 30 cm then
HEYA MRNG ALL :-QUESTION:-*AD is a diameter of a circle and AB is a chord if AD = 34 cm, AB = 30 cm then

What is the slope of y=5/4x-7/4

Answers

The answer is:

5/4

Work/explanation:

Let's work out the slope of the line.

The equation is in y = mx + b form where m = slope; b = y intercept.

Similarly, in y=5/4x - 7/4, the slope is 5/4.

Hence, the answer is 5/4.

please help meeeeeee!

please help meeeeeee!

Answers

Answer:

2x^2+x-1/x^2-1

x^2+11x+18/x^2-11x+18

2x^2-5x+3/x^2+4x+3

Step-by-step explanation:

1.2 and 5

the y-intercept of the line x=2y +5 is (0,5).
True
False

Answers

Answer:

False.

Step-by-step explanation:

To find the y-intercept of a line, we set x = 0 and solve for y. In the given equation, x = 2y + 5. Let's substitute x = 0:

0 = 2y + 5

Subtracting 5 from both sides:

-5 = 2y

Dividing both sides by 2:

-5/2 = y

Therefore, the y-intercept is (0, -5/2), not (0, 5). Hence, the statement "The y-intercept of the line x=2y +5 is (0,5)" is false.

When constructing a perpendicular bisector why must the compass opening be greater than 1/2.

Answers

It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.

What is perpendicular bisector?

A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.

Now, consider an example;

When you wish to build a perpendicular line on a line segment, like line AB, you do the following;

Set the compass on a radius more than half the length of the line AB.Using A as your center, draw an arc above and below line AB.With the same radius and B as our center, draw additional arcs on top or below line AB to join a first arcs on the both side of the line.Join the two arc intersections to cut line AB at M.

A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.

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On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0). What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)? 3x + 5y = −9 3x + 5y = 9 5x − 3y = −15 5x − 3y = 15

Answers

Answer:

5x -3y = 15

Step-by-step explanation:

First find the slope of the line through ( -3,2) and (2,-1)

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

   =( -1-2)/(2--3)

   = -3/(2+3)

    = -3/5

We want a line that is perpendicular so the slopes will multiply to -1

m * -3/5 = -1

Multiply each side by -5/3

m * -3/5 * -5/3 = -1 *-5/3

m = 5/3

The slope of the perpendicular line is 5/3

We have a slope and a point

Using point slope form

y-y1 = m(x-x1)

y-0 = 5/3( x-3)

y = 5/3( x-3)

Distribute

y = 5/3x -5

Multiply each side by 3

3*y = 3(5/3x -5)

3y = 5x - 15

Subtract 5x from each side

-5x+3y = -15

Multiply each side by -1

5x -3y = 15

Answer:

D. 5x − 3y = 15

May I have brainliest please? :)

-x= x – 10

How many solutions does this equation have?

A.Infinitely many solutions

B.No solutions

C.Two solutions

D. One solution

Answers

Answer:

D

Step-by-step explanation:

Answer: One if any.

-x = x - 10                  Add x to both sides

-x+x = x + x - 10          Combine

0 = 2x - 10                   Add 10 to both sides

10 = 2x - 10+10            Combine

10 = 2x                         Divide by 2

10/2=2x/2

x = 5

Definite Answer: One Solution

I got 27 Points wit a brainliest...Write each phrase as an expression. Then find the sum of the expressions.


9 increased by a number x


Expression:


a number x more than −12

Expression:


the difference of 6 and a number x

Expression:


The sum of the expressions is

Answers

Answer:

Step-by-step explanation:

9 increased by a number x

Expression:  9 + x

a number x more than −12

x + ( -12 )

Expression:6- x

A penny, nickel, dime, and quarter are simultaneously flipped. What is the expected value of the amount of the coins which come up heads

Answers

The expected value of the amount of coins that come up heads is 2 coins.

The expected value of the amount of coins that come up heads when a penny, nickel, dime, and quarter are flipped simultaneously is given by the formula: E(X) = 1/2p + 1/2n + 1/2d + 1/2q where p, n, d, and q are the probabilities of getting heads when the penny, nickel, dime, and quarter are flipped. The probability of getting heads when a fair coin is flipped is 1/2.

Therefore, the probability of getting heads for each coin is 1/2.The expected value of the amount of coins that come up heads is: E(X) = 1/2 + 1/2 + 1/2 + 1/2= 2 coins. Therefore, the expected value of the amount of coins that come up heads is 2 coins.

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what number of laptops would have a percentile of 90% in this sequence of numbers? 24 32 27 23 33 33 29 25 23 36 26 26 31 20 27 33 27 23 28 29 31 35 34 22 37 28 23 35 31 43

Answers

The 26th term is 36, and the 27th term is 37. Therefore, the 90th percentile is 37, meaning that 90% of the laptops have a score of 37 or lower.

what is percentile ?

A percentile is a measure used in statistics to indicate the value below which a given percentage of observations or data points in a distribution fall.

In the given question,

To find the 90th percentile in this sequence of numbers, you need to arrange them in ascending order:

20 22 23 23 23 24 25 26 26 27 27 27 28 28 29 29 31 31 31 32 33 33 33 34 35 35 36 37 43

The 90th percentile represents the value below which 90% of the data fall. To find this value, you can use the formula:

90th percentile = ((90/100) * N)th term

where N is the total number of data points in the sequence.

In this case, N = 29 (there are 29 laptops in the sequence). Substituting the values into the formula, we get:

90th percentile = ((90/100) * 29)th term

= (0.9 * 29)th term

= 26.1th term

Since we can't have a fraction of a term, we can round up to the nearest integer to get the 90th percentile. The 26th term is 36, and the 27th term is 37. Therefore, the 90th percentile is 37, meaning that 90% of the laptops have a score of 37 or lower.

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Which term has the definition "A portion of the population"?
A. Sample
B. Data
C. Statistics
D. Bias

Answers

Answer:

A.

Step-by-step explanation:

Answer:

sample

Step-by-step explanation:

You borrow $10000 from the credit union at 12% interest to buy a car. If you pay off the car in 5 years, what will your monthly payment be? $449.55 $222 $2060 $1201 None of these responses is correct

Answers

Answer:

Step-by-step explanation:

10,000 x 12% = 1,200

10,000 + 1,200 = 11,200

There are 60 months in 5 years

11,200 ÷ 60 = $186.67

None of these responses is correct

"Blast it!" said David Wilson, president of Teledex Company. "We've just lost the bid oh the Koopers job by $3,000, It seems we're either too high to get the job or too low to make any money on half the jobs we bid." Teledex Company manufactures products to customers' specifications and uses a jot-order costing system. The company uses a plantwide predetermined overhead rate based on direct labor cost to apply its manufacturing overhead (assumed to be all fixed) to jobs. The following estimates were made at the beginning of the year: Jobs require varying amounts of work in the three departments. The Koopers job, for example, would have required manufacturing costs in the three departments as follows: Using the company's plantwide approach, compute the plant wide predetermined rate for the current year. Using the company's plantwide approach, determine the amount of manufacturing overiead cost that would have been applied to the Koopers job. Suppose that instead of using a plantwide predetermined overhead rate, the company hed used departmental predetermined overhead rates based on direct labor cost. Compute the predetermined overhead rate for each department for the current year. Suppose that instead of using a plantwide predetermined overhead rate, the company hpd used departmental predetermined overhead rates based on direct labor cost. Determine the amount of manufacturing overfiead cost that would have been applied to the Koopers job. Assume that it is customary in the industry to bid jobs at 150% of total manufacturing cost (direct materials, direct labor, and applied overhead). What was the company's bid price on the Koopers job using a piantw de predetermined overheod rate? Assume that it is customary in the industry to bid jobs at 150% of total manufacturing cost (direct materials, direct labor, and applied overhead). What would the bid price have been if departmental predetermined overhead rates had been used to appiy overhead cost?

Answers

1. The amount of manufacturing overhead cost that would have been applied to the Koopers job is $9,840.

2. Using departmental predetermined overhead rates, the total manufacturing cost of the Koopers job is $47,040.

3. The bid price would have been $70,560.

The plantwide predetermined overhead rate for the current year is $2.40 per direct labour dollar ($4,032,000 ÷ $1,680,000).

The amount of manufacturing overhead cost that would have been applied to the Koopers job is $10,200 ($30,000 × 0.34).  

The predetermined overhead rate for each department is:

Department A = $0.60 per direct labour dollar ($672,000 ÷ 1,120,000)

Department B = $0.96 per direct labour dollar ($1,344,000 ÷ $1,400,000)

Department C = $0.72 per direct labour dollar ($1,008,000 ÷ $1,400,000)

The amount of manufacturing overhead cost that would have been applied to the Koopers job is $9,840 ($48,000 × 0.205 + $84,000 × 0.172 + $54,000 × 0.144).

Using a plantwide predetermined overhead rate, the total manufacturing cost of the Koopers job is $48,500 ($18,000 + $20,000 + $10,200).

Thus, the bid price is $72,750 (150% × $48,500). Using departmental predetermined overhead rates, the total manufacturing cost of the Koopers job is $47,040 ($18,000 × 0.205 + $20,000 × 0.172 + $10,000 × 0.144 + $18,000 + $20,000 + $10,000).

Thus, the bid price would have been $70,560 (150% × $47,040).

Hence, the solution to the problem is as follows: The company's plantwide predetermined overhead rate for the current year is $2.40 per direct labour dollar. The amount of manufacturing overhead cost that would have been applied to the Koopers job is $10,200.

Suppose that instead of using a plantwide predetermined overhead rate, the company had used departmental predetermined overhead rates based on direct labour cost. The predetermined overhead rate for each department for the current year is:

Department A = $0.60 per direct labour dollar

Department B = $0.96 per direct labour dollar

Department C = $0.72 per direct labour dollar

The amount of manufacturing overhead cost that would have been applied to the Koopers job is $9,840.Using a plantwide predetermined overhead rate, the total manufacturing cost of the Koopers job is $48,500.

Thus, the bid price is $72,750.Using departmental predetermined overhead rates, the total manufacturing cost of the Koopers job is $47,040. Thus, the bid price would have been $70,560.

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CAN SOMEONE HELP I DONT UNDERSTAND (CRYS)

CAN SOMEONE HELP I DONT UNDERSTAND (CRYS)

Answers

Answer:

1) \(m\)∠JKL = 145°

2) \(m\)∠IHG = 164°

3) \(m\)∠NME = 50°

4) \(m\)∠TUV = 178°

I hope this helps! (✿◠‿◠)

Your old high school pal Mike Errington wants to upgrade an old 1976 vintage room air conditioner that is believed to operate at an EER of 7. He is considering a room air conditioner with an EER of 13. He wants to know what percentage of electricity consumption would be reduced. Can you help him find it (answer must be in a percentage)

Answers

The Energy Efficiency Ratio (EER) is the ratio of the cooling capacity (in British Thermal Units, or BTUs) to the power input (in watts). A higher EER means that the air conditioner is more efficient.

If Mike upgrades from an air conditioner with an EER of 7 to one with an EER of 13, he can calculate the percentage reduction in electricity consumption as follows:

Let's say the old air conditioner has a cooling capacity of C1 BTUs and a power input of P1 watts. The new air conditioner has a cooling capacity of C2 BTUs and a power input of P2 watts. Since the cooling capacity is the same for both air conditioners, we have:

C1 = C2

The power input for each air conditioner is:

P1 = C1 / 7 (since the EER is 7)
P2 = C2 / 13 (since the EER is 13)

Substituting C1 = C2, we get:

P1 = C2 / 7
P2 = C2 / 13

The percentage reduction in electricity consumption is:

(P1 - P2) / P1 x 100%

Substituting the expressions for P1 and P2, we get:

[(C2 / 7) - (C2 / 13)] / (C2 / 7) x 100%

Simplifying, we get:

(6 / 91) x 100% ≈ 6.59%

Therefore, if Mike upgrades to an air conditioner with an EER of 13, he can expect to reduce his electricity consumption by about 6.59%.

help me pplleeaassee?!

help me pplleeaassee?!

Answers

Answer:

1.  Quadrant IV

2.  Quadrant I

3.  Quadrant II

4.  Quadrant III

Plz mark brainliest:)

If a =21 ft, b = 28 ft, and c = 35 ft, what is the total area of the porch? Assume that the wooden part is a right triangle and the concreteIf a = 21 ft, b = 28 ft, and c = 35 ft, what is the total area of the porch? Assume that the wooden part is a right triangle and the concrete

Answers

Using Heron's formula, the area of the porch is 294 squared feet

What is Area of the Porch

To calculate the area of the porch, we need to use Heron's formula which is given as;

Heron's formula is a mathematical formula used to calculate the area of a triangle when the lengths of all three sides are known. It is named after the ancient Greek mathematician Heron of Alexandria. The formula is:

Area = sqrt(s(s-a)(s-b)(s-c)),

where s is the semi-perimeter of the triangle (s = (a+b+c)/2) and a, b, and c are the lengths of the three sides.

Substituting the values into the formula;

s = (21 + 28 + 35) / 2

s = 84 / 2

s = 42

Using the value of s

A = √42(42 - 21)(42 - 28)(42 - 35)

A= 294

The area is 294 ft²

Learn more on heron's formula here;

https://brainly.com/question/10677686

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