Departmental allocation of overheadThe firm is considering a switch to departmental rates for MOH.XYZ will use machine hours (MH) to allocate Assembly Dept. costs. Of the $2,430,000 of MOH, the firm determined that $1,620,000 is related to the Assembly Dept. and $810,000 is related to the Packaging Dept.• Basic units​​6,000 MH in Assembly• Deluxe units 30,000 MH in Assembly• Total​​ 36,000 MH in Assemblya) Assembly dept. allocation rate = ​​​​Assembly dept. MOH allocated to Basic = ​Assembly dept. MOH allocated to Deluxe= ​​​XYZ will use labor dollars (DL$) to allocate Packaging Dept. costs• Basic units​ $990,000 DL$ in Packaging• Deluxe units $360,000 DL$ in Packaging• Total​​$1,350,000 DL$ in Packagingb) Packaging dept. allocation rate = ​​​​Packaging dept. MOH allocated to Basic = ​​​​Packaging dept. MOH allocated to Deluxe = ​​​c) Total cost for Basic = ​​​​Total cost for Deluxe = ​​​​d) Cost/unit for Basic = ​​​​Cost/unit for Deluxe =

The greatest integer x is 3  in the given expression.

Some function [] rounds DOWN a number to the nearest integer. For example [1.5]=1, [2]=2, [-1.5]=-2

A number can be an integer if it is both whole and negative. Accordingly, a set of integers is formed if we combine negative numbers with whole numbers. An integer is a positive or negative number, including zero, that has no decimal or fractional parts. -5, 0, 1, 5, 8, 97, and 3, 043 are a few examples of integers. Z is the symbol for a collection of integers.

Thus

[-1.6]+[3.4]+[2.7]

=-2+3+2

=3

The greatest integer function rounds off the given number to the nearest integer. Hence, the formula to find the greatest integer is very simple.

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A. The mean of X is less than the mean of Y.

This statement is false. Since the daily salary of a loan agent is $150 plus $50 per loan closed, the mean of X (daily salary) is $150, and the mean of Y (amount of money made by a randomly selected loan agent on a randomly selected day) is 150 + 50 = $200. Therefore, the mean of X is not less than the mean of Y.

To calculate the mean of Y, we can use the formula: Mean = Sum of all values/Number of values.

For example, if the randomly selected loan agent closed three loans on a randomly selected day, the mean of Y would be (150 + (50*3))/1 = $250.

To calculate the standard deviation of Y, we can use the formula: Standard Deviation = √[Sum of(x-mean)^2/n]

For example, if the randomly selected loan agent closed three loans on a randomly selected day, the standard deviation of Y would be √[(150 + (50*3) - 250)^2/1] = √[(200)^2/1] = $71.

The mean daily salary is not greater than $350 per day. The mean daily salary is $150 plus $50 per loan closed. Therefore, if the randomly selected loan agent closed zero loans on a randomly selected day, the mean daily salary would be $150, which is not greater than $350.

The standard deviation of X is less than the standard deviation of Y. The standard deviation of X (daily salary) is 0, since the mean daily salary is always the same (it does not vary). The standard deviation of Y (amount of money made by a randomly selected loan agent on a randomly selected day) is not 0, since the amount of money made changes depending on how many loans the loan agent closes. Therefore, the standard deviation of X is less than the standard deviation of Y.

The shape of the probability distribution of Y is unimodal and roughly symmetric. This statement is true. The probability distribution of Y is unimodal because the amount of money made by a randomly selected loan agent on a randomly selected day is determined by the number of loans the loan agent closes. The probability distribution is roughly symmetric because the amount of money made can range from $150 (if the loan agent closes zero loans

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Answer:

0.0274

Step-by-step explanation:

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When a graph is translated to the right by a units, the x-coordinate of each point on the graph increases by a units. So the equation of the transformed function will have x - a in it.

When a graph is translated down by b units, the y-coordinate of each point on the graph decreases by b units. So the equation of the transformed function will have y - b in it.

Given f(x) = |x| + 5 and the graph of f(x) is transformed into the graph of g(x) by a translation of 4 units right and a translation of 3 units down, the equation of the transformed function g(x) will be:

g(x) = f(x - 4) - 3

This is because the x-coordinate increases by 4 units and the y-coordinate decreases by 3 units.

So the equation of g(x) is:

g(x) = |x-4| + 5 - 3

g(x) = |x-4| + 2

This function g(x) will have the same shape as f(x) but shifted 4 units to the right and 3 units down.

Answer:

This function g(x) will have the same shape as f(x) but shifted 4 units to the right and 3 units down.

Step-by-step explanation:

The critical value for this test is determined by the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1.

To calculate the critical value, we first need to standardize the sample mean and standard deviation. We can do this by subtracting the sample mean from the population mean and dividing it by the sample standard deviation. For this example, the standardized sample mean is 68.1-0/13.2 = 5.20.

The critical value is then determined by looking up the z-score in the standard normal distribution table, which is the area under the normal curve to the left of the z-score. For this example, the critical value is 1.96. This means that any value greater than 1.96 is in the rejection region, and any value less than 1.96 is in the non-rejection region.

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All three equations represent the relationship between the total number of something produced and the amount of time it takes to produce it.

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The range of the number of letters in the sampled last names is 7.

The range of a set of data is the difference between the largest and smallest values. In this case, the data is a set of numbers representing the number of letters in the sampled last names. To find the range, we need to first find the largest and smallest numbers in the set.

From the data, we can see that:

The largest number is 12

The smallest number is 5

Thus, the range of the number of letters in the sampled last names is:

12 - 5 = 7

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The value of (log √27 + log 8 - log √1000) / log 1.2 is 3/2.

A logarithm is simply the opposite function of the exponentiation.

It is the exponent to which a number or value is raised to get some other number.

That is, if c = aˣ, then we can write it as x =logₐ c.

We have some rules for logarithms which are discussed as below :

log (ab) = log a + log b

log (a/b) = log a - log b

log (aᵇ) = b log a

Using these, let's find the value of the logarithmic expression.

(log √27 + log 8 - log √1000) / log 1.2

= [log [tex](27)^\frac{1}{2}[/tex] + log (2)³ - log [tex](1000)^\frac{1}{2}[/tex]] / log ([tex]\frac{12}{10}[/tex])

= [ [tex]\frac{1}{2}[/tex] log (27) + 3 log (2) - [tex]\frac{1}{2}[/tex] log (1000)] / [log (12) - log (10)]

= [ [tex]\frac{1}{2}[/tex] log (3)³ + 3 log (2) - [tex]\frac{1}{2}[/tex] log (10)³] / [log (3 × 4) - log (10)]

= [ [tex]\frac{3}{2}[/tex] log (3) + 3 log (2) - [tex]\frac{3}{2}[/tex] log (10)] / [log (3) + log (2²) - log (10)]

= [ [tex]\frac{3}{2}[/tex] log (3) + [tex]\frac{3}{2}[/tex] 2log (2) - [tex]\frac{3}{2}[/tex] log (10)] / [log (3) + 2log (2) - log (10)]

= [tex]\frac{3}{2}[/tex] [log (3) + 2log (2) - log (10)] / [log (3) + 2log (2) - log (10)]

= 3/2

Hence the value of the logarithmic expression given is 3/2.

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The probability given is expressed as a fraction with three prime numbers and three positive integers in the numerator and denominator respectively. This means the sum of the prime numbers is 7 and the sum of the positive integers is 15. Thus, the product of these two sums is 105.

[tex]$p^aq^br/\left(s^c\right)=\left(\frac{p^a}{s^c}\right)\left(\frac{q^b}{s^c}\right)\left(\frac{r}{s^c}\right)=\left(p^a\right)\left(q^b\right)\left(r^1\right)$[/tex]

We can see that [tex]$p^a$[/tex]   [tex]$q^b$[/tex]  [tex]$r^1$[/tex]are all prime factors of the expression, so p , q, and r are all prime numbers.

Also, since a b, and c are all positive integers, we can see that [tex]$a+b+c=15$[/tex].

Finally, we can calculate the sum of the prime numbers by noting that [tex]$p+q+r+s=7$[/tex].

Therefore,[tex]$\left(p+q+r+s\right)\left(a+b+c\right)=105$[/tex].

The given expression is a fraction with prime numbers and positive integers in the numerator and denominator respectively. This means that the sum of the prime numbers in the numerator (p, q, and r) is equal to 7, and the sum of the positive integers (a, b, and c) is equal to 15. By multiplying these two sums together, we can see that the product of these two sums is 105. This is the answer to the question of what the product of the sum of the prime numbers and the sum of the positive integers is.

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Answer:

See below

Step-by-step explanation:

 x       1         2        3         4        5

 y        3        6         9        12       15

The average value of exam grade of students who studies is 92 and students those who did not studied is 68.

We have the following information for this case:

Students those who studied:

Exam grade: 94 96 90 88 88 100 78 95 97 94

The sample mean is calculated using the formula:

X = Σxi/n

If we replace the given values, we get:

X = (94 + 96 + 90 + 88 + 88 + 100 + 78 + 95 + 97 + 94)/10

  = 920 / 10

  = 92

Students those who did not study is :

Exam grade = 64 73 71 64 56 49 89 67 76 71 64 56 49 89 67 76 71

The sample mean is calculated using the formula:

X = Σxi/n

By substituting we get:

X= 64 + 73 + 71 + 64 + 56 + 49 + 89 + 67 + 76 + 71 + 64 + 56 + 49 + 89+ 67 + 76 +71

= 680 / 10

= 68

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There is a 0.48 percent chance that the sample proportion will be within 0.03 of the population proportion.

There is a 0.48 percent chance that the sample proportion will be within 0.03 of the population proportion. A sample of 500 people yields a population proportion of 1.00. A sample proportion has a 0.96 probability of being within 0.03 of the population proportion.

The number of successes (X) of the entire population (N) divided by the population size (N) gives the population percentage (p): p = X/N. The sample proportion (p) is calculated by dividing the number of successes observed in the sample (x) by the sample size (n): p = x/n. The sample proportion is determined in this way.

Event E in this puzzle equals game A. The likelihood of losing a game is 0.7 as a result.

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The probability that X₁ + X₂ + ........ + X₁₀₀ <60 is 0.9713.

Bernoulli distribution is the probability distribution which is discrete of a random variable X, which has the value 1 if the probability is p and the value is 0 when the probability is 1-p.

We have the measure of z score of a normal distribution as,

z = (X - μ) / σ

After finding the z value. the p value of the corresponding z score can be found.

Binomial distribution is the probability of x random variables or successes on n trials where p is the success of each trial.

In binomial distribution,

μ = [tex]np[/tex] and σ = [tex]\sqrt{np(1-p)}[/tex]

n = 100 and p = 0.5

μ = 100 (0.5) = 50

σ = [tex]\sqrt{50(1-0.5)}[/tex] = 5

We have to find the probability that the sum is less than 60.

Using continuity correction, it is P(X < 59.5).

z = (X - μ) / σ

z = (59.5 - 50) / 5 = 1.9

The p value corresponding to z = 1.9 is 0.9713.

Hence the probability that the X₁ + X₂ + ........ + X₁₀₀ <60 is 0.9713.

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Answer: x=4

Step-by-step explanation:

When you substitute 0 for y you will set up your equation like this:

0=-3x+12

You will then subtract 12 from 0 to isolate x:

-12=-3x

You can then divide both sides by -3 and x will equal 4.

Answer 3:

At the end of the first hour, there would be 5 amoebas from the first group and 53=15 amoebas from the second group, a total of 5+15 = 20 amoebas.

At the end of the second hour, there would be 55 = 25 amoebas from the first group and 153 = 45 amoebas from the second group, a total of 25+45 = 70 amoebas.

At the end of the third hour, there would be 5^3 = 125 amoebas from the first group and 453 = 135 amoebas from the second group, a total of 125+135 = 260 amoebas.

Answer 4:

Using the formula N = No eRt where N is the population, No is the initial population, R is the exponential growth rate, and t is the time in days.

N = 104 * e^(0.11714) = 1042.813 = 292.56, rounded to the nearest rabbit would be 293.

So, the population of rabbits after 14 days would be 293.

Using probability the correct option is B)The probability that p is in the interval is equal to the level of confidence for the interval.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject because it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

The probability that p is in the interval is equal to the level of confidence for the interval.

Reason -

There is a 95% probability that the interval between X [lower bound] and Y [upper bound] contains the true value of the population parameter. The statement above is the most common misconception about confidence interval. After the statistical interval is calculated, the interval can only either contain the population parameter or not.

Hence the correct option is B) The probability that p is in the interval is equal to the level of confidence for the interval.

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The exact length of the brace to the nearest foot is 16.

The Pythagorean theorem is a principle that can be used to determine the value of the unknown side of a right triangle, given that the values of the other sides are known.

The theorem can be expressed as;

/Hyp/^2 = /Opp/^2 + /Adj/ ^2

Given that the length of the wall of the room is 14 ft, and its height is 8 ft. Let the length of the diagonal brace be represented by t, so that;

t^2 = 8^2 + 14^2

     = 64 + 196

     = 260

t = (260)^1/2

 = 16.1245

t = 16 ft

The exact length of the brace to the nearest foot is 16.

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A positive or negative integer that represents the situation, M = + $25

In the number system, A term called integer represents the whole part of the object, It is a numerical value which is not a fraction number.

For example,  1, 23, 456 are Integer

Given that,

Earned money =$25

If it is withdrawal of a money, then it can be written as  = - $25

If it is earned money, then it can be written as = + $25

So, Given that earned money is $25

Now,

It can be represented as a positive integer, +$25

Hence, Positive integer +$25 represents the situation

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Area of the parallelogram attached in the figure is solve to be

The area of parallelogram is solved using the formula

= base x height

From the problem it can be deduced that

base = 12 cm - 2 cm = 10 cm

height = 4 cm

Area of the parallelogram = 10 * 4

Area of the parallelogram = 40 square cm

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parameters are Sample = The 5 cows selected by the farmer. and Population = all of the farmer's dairy cows

Statistic = The five measurements collected on cows selected by the farmer.

Data = Variance in daily milk production among the cows in the farmer's sample

Parameter = a quantity equivalent to the volume of milk produced by a randomly selected cow

Population refers to all members belonging to a particular group of interest ; all the farmer's dairy cows

Sample : A small subset of observation selected from the sample; 5 selected cows from the population.

Statistic: Numeric characteristic of the observations derived from the sample

Parameter : Numeric characteristic of observation derived from the population.

Data: gathered figures calculated from either sample or population ; the variance in Daily milk production.

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Answer:

Step-by-step explanation:

multiply everything together as well as it also depends on whether or not it is a triangle or not. remember to use the pythogorean theorem a^2+b^2=c^2 if it is a triangle.

Answer: 89 rounded to the nearest 10th is 90.

Step-by-step explanation:

If the second digit is 5 and above you round up, meaning you go the next number up. If it is 4 or below you round down, meaning you go down a number.

Two random samples are conducted: one of students whose GPA'$ are 2.5 or higher and the other of students whose GPA '$ are less than 2.5,it is not valid. because it have no criteria four dress code sample in students council .

The student council of your high school wants to dress code for school dances. You conduct & survey regarding the have conduct a stratified advised them that it might be best to random sample of the student body.

Assume the results of the separate samples will combined into a single sample of the student body.

Two simple random samples are to be conducted: one of the boys in the student body and the other of the girls in the student body. it is valid

Four simple random samples are conducted: one in each of the four classes. it is valid,

one of the boys in the selected homerooms and the other of the girls in the selected homerooms. it is valid,

Two random samples are conducted: one of students whose GPA'$ are 2.5 or higher and the other of students whose GPA '$ are less than 2.5,

it is not valid. because it have no criteria four dress code sample in students council.

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Answer:

Step-by-step explanation:

a) Percent of already washed cars?

→ (67/260) × 100

→ 6700/260

→ 25.769

→ ≈ 25.77%

b) Wax job done each week will be?

→ (260/100) × 15

→ 2.6 × 15

→ 39 wax jobs

Hence, these are required answers.

Answer:

a)  25.8%

b)  39

Step-by-step explanation:

Given information:

To find the percent of the total expected cars that have already been washed, divide the number of cars already washed by the average number of cars washed per week:

[tex]\implies \dfrac{67}{260}=0.257692307...=25.8\%\; \sf (nearest\;tenth)[/tex]

To find the number of cars that get a wax job each week, find 15% of 260:

[tex]\begin{aligned}\implies 15\%\; \textsf{of}\;260&=\dfrac{15}{100} \times 260\\\\&=\dfrac{3900}{100}\\\\&=39\end{aligned}[/tex]

Therefore, 39 wax jobs are done each week.

The data set of daily maximum temperature over 12 days for a city or zip code shows that the distribution is slightly skewed to the right with a mean of 8.6 degrees Fahrenheit, a median of 8.8 degrees Fahrenheit, a variance of 7.5 and a standard deviation of 2.75 degrees Fahrenheit.

The data set given is a sample of daily maximum temperatures over 12 days. The temperatures given in the data set are in degrees Fahrenheit. The descriptive statistics for this data set include the mean, median, variance, and standard deviation. The mean temperature is 8.6 degrees Fahrenheit, the median temperature is 8.8 degrees Fahrenheit, the variance is 7.5 and the standard deviation is 2.75 degrees Fahrenheit.

The mean and median are close to each other, which indicates that the distribution is roughly symmetric. The variance and standard deviation also suggest that the temperature fluctuates significantly. Overall, the data suggest that the daily maximum temperature in the given city or zip code is relatively moderate, but it may vary greatly from day to day.

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Answer: 3/4

Step-by-step explanation:why do u need explaination]

Answer:

2/5 = w

Step-by-step explanation:

area = length x width

1/4 = 5/8w

isolate 'w' by dividing each side by 5/8

remember, when dividing fractions you must multiply by the reciprocal

1/4 x 8/5 = w

8/20 = w

simplify:

2/5 = w

C: It is not a function.  

It doesn't pass the vertical line test.

The image is cropped so I can't answer it :(

When you divide a by a percentage of a, you are essentially trying to find out what the percentage of a represents in terms of the value of a.

The percentage of a is represented by the formula (a * x%)/100, where x is the percentage. So if you divide a by (a * x%)/100, you get the following:

a / (a * x%)/100 = 100/x%

This is the equivalent of multiplying a by 100/x%. It's the representation of the percentage in terms of the value of a.

For example:

If a = 100 and x = 20, then a% of a is (10020)/100 = 20. So, a / (a20%) = 100/20 = 5

It means that 20% of 100 is 20 and dividing 100 by 20% of 100 is equal to 5.

Hopefully that helped and didn't make it more confusing.