In the first month of operations, Company made three purchases of merchandise in the following sequence: 300 units at $7, 410 units at $8 and 210 units at $9.

Assuming there are 390 units on hand, compute the cost of the ending inventory under the FIFO method and LIFO method.

The temperature on Tuesday morning -6 degree Fahrenheit.

We have,

Temperature on Monday = -2 F

At noon on Monday the temperature rose by 10 F

= -2 + 10

= 8 F

Now, on Tuesday the Temperature dropped 14 degrees

= 8 F - 14 F

= - 6 F

Thus, the temperature on Tuesday is -6 degree Fahrenheit.

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The exact value of sin V, in simplest radical form, is √17 / 17.

Since we know the lengths of XV and VW, we can use the Pythagorean theorem to find the length of VX:

[tex]VX^{2}[/tex] = [tex]XV^{2}[/tex] + [tex]VW^{2}[/tex]

[tex]VX^{2}[/tex] = 6^2 + (√32)^2

[tex]VX^{2}[/tex] = 36 + 32

[tex]VX^{2}[/tex] = 68

VX = √68 = 2√17

Now, we can use the definition of sine to find sin V:

sin V = opposite / hypotenuse

In this case, the opposite side is WX, which has length 2. So:

sin V = WX / VX

sin V = 2 / (2√17)

sin V = 1 / √17

To simplify this further, we can rationalize the denominator by multiplying both the numerator and the denominator by √17:

sin V = (1 / √17) * (√17 / √17)

sin V = √17 / 17

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You would end at the point (4, -4).

We have,

Starting at (-1, 2), moving down 6 units would take you to the point (-1, 2-6) = (-1, -4).

From there,

Moving right 5 units would take you to the point (-1+5, -4) = (4, -4).

Therefore,

You would end at the point (4, -4).

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The answer is -17.984 + 20.569i in rectangular form using DeMoivre's Theorem with the given complex number.

DeMoivre's Hypothesis is a recipe used to track down the force of a complicated number in polar structure. The hypothesis expresses that for any complicated number z = r(cosθ + I sinθ) and any sure whole number n, we have:

[tex]z^n = r^n(cos(nθ) + I sin(nθ))[/tex]

Utilizing this hypothesis, we can find the demonstrated force of the perplexing number [tex][2(cos 40° + I sin 40°)]^3[/tex] in rectangular structure.

In the first place, we can change the complicated number over completely to polar structure by utilizing the personality:

[tex]cosθ + I sinθ = e^(iθ)[/tex]

In this way, we have:

[tex]2(cos 40° + I sin 40°) = 2e^(i40°)[/tex]

Presently, we can raise this intricate number to the third power utilizing DeMoivre's Hypothesis:

[tex][2(cos 40° + I sin 40°)]^3 = [2e^(i40°)]^3[/tex]

[tex]= 2^3 e^(3i40°)[/tex]

[tex]= 8(cos 120° + I sin 120°)[/tex]

We can now change over this outcome back to rectangular structure:

8(cos 120° + I sin 120°) = 8(-0.5+0.866i)

= -4 + 6.928i

In this way, the showed force of the mind boggling number [tex][2(cos 40° + I sin 40°)]^3[/tex] in rectangular structure is -4+6.928i.

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The requreid we can reject the null hypothesis and conclude that at least one of the desserts is significantly more popular than the others.

To conduct an ANOVA analysis, we need to calculate the mean and variance for each group, as well as the overall mean and variance.

Pies: Mean = (5+2+7+4+3)/5 = 4.2
Variance =[tex]((5-4.2)^2 + (2-4.2)^2 + (7-4.2)^2 + (4-4.2)^2 + (3-4.2)^2)/4[/tex]
               = 3.7

Similarly,

Cakes:
Mean =  5, Variance = 6.4

Cookies:
Mean =  6, Variance = 8.8

Overall mean =  5.1, Overall variance =5.1

To calculate the F-statistic, we need to use the formula,
F = (between-group variance)/(within-group variance).

Between-group variance [tex]= ((4.2-5.1)^2 + (5-5.1)^2 + (6-5.1)^2)*5 + ((5-5.1)^2 + (5-5.1)^2)*6 + ((6-5.1)^2)*7[/tex] =5.3

Within-group variance = (3.7+6.4+8.8)/14 = 0.8

F = 5.3/0.8 = 6.6

The appropriate statistic for an ANOVA analysis is the F-statistic. we can reject the null hypothesis and conclude that at least one of the desserts is significantly more popular than the others.

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The result when substituting 2 for x is: C. one expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

In order to find out the value of the expressions, we have to substitute 2 for x in each of the given expressions, the evaluate it to determine if they are equivalent.

If two expressions have the same value when evaluated, then both are said to be equivalent.

1/2x + 4 = 1/2(2) + 4

= 1 + 4

= 5

x + 6 / 3x - 2

2 + 6 / 3(2) - 2

8 / 4

= 2

Therefore, we can conclude that: C. one expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

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Answer:

3 pounds equals 48 ounces because 3x16=48.Apr 29, 2020

PLS MARK BRAINLIEST

Step-by-step explanation:

Answer:

They're the same amount

Step-by-step explanation:

16 oz = 1 pound

48/16 = 3

So 48 oz is 3 pounds

Correlation analysis is meant to determine the strength of a linear

relationship between variables.

A true statement of correlation analysis is that; The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero.

Here, we have,

Reasons:

Correlation analysis is a test to determine the presence and or amount of relationship that exists between variables.

During an hypothesis test aimed at determining the existence of a correlation between variables, the null and alternative hypothesis are as follows;

Null hypothesis, H₀: There are no relationships between the variables

H₀: r = 0

Alternative hypothesis, Hₐ: The variables have an association

Hₐ: r ≠ 0

Therefore, the true statement of the correlation analysis is; The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero.

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The graph represents the price of anti-retroviral drugs over time. The x-axis likely represents time, while the y-axis represents the price of the drugs.

The overall pattern displayed on the graph is likely a downward trend, showing a decrease in the price of anti-retroviral drugs over time.

Two approximate points on the graph could be (January 2000, $10,000) and (present day, less than $0.50). To find the slope between these two points, we can use the formula:

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

change in y = (less than $0.50 - $10,000) = -9999.5

change in x = (present day - January 2000) = some positive value

Without knowing the actual values of present day and January 2000, we cannot calculate the exact slope. However, we can see that the slope will be a very large negative value. This means that the price of anti-retroviral drugs is decreasing rapidly over time.

The key point on the graph is the downward trend, which indicates that the price of anti-retroviral drugs is decreasing significantly. This has led to an increase in the number of people who can be treated with these drugs, particularly in sub-Saharan Africa.

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Answer:

120 cubic inches

Step-by-step explanation:

One of the formulas for volume (V) of a triangular prism is V = 1/2bhl, where, where b is the base, h is the height, and l is the length (distance between triangular faces)

Since we know that the base is 6 in., the height is 5 in., and the length is 10 in., we can now find the volume:

V = 1/2(6)(4)(10)

V = 3 * 40

V = 120 cubic inches

The 90% confidence interval for the mean is given as follows:

[tex]5.8 < \mu < 7.8[/tex]

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 41 - 1 = 40 df, is t = 1.6839.

The parameters are given as follows:

[tex]\overline{x} = 6.8, s = 3.7, n = 41[/tex]

The lower bound of the interval is given as follows:

6.8 - 1.6839 x 3.7/sqrt(41) = 5.8.

The upper bound of the interval is given as follows:

6.8 + 1.6839 x 3.7/sqrt(41) = 7.8.

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The correct statement of function is the function is continuous.

We have,

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

As, functions approach the same value as x approaches 0.

Now, -x² +4x +1 at x= 2 we get

= -4 + 8 +1 = 5

and, 1/2x + 3 = 1+3= 4

So, we reject the statement.

Now, as x increases without bound,

1/2x +3 increases with bound.

Therefore the statement B is true statement.

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complete question:

Which statement is true about function f?

A. The function is increasing over its entire domain

B. The function is continuous

C. As x approaches positive Infinity, f(x) approaches positive infinity

D. The domain is all real numbers

Answer: a=9, b=1

Step-by-step explanation:

Let's assume the two numbers as number a, and number b.

a+b= 10

b-a= -8

a= b+8

a= 10-b

a=a

b+8= 10-b

b+b=10-8

2b= 2

b= 1

b= a-8

b= 10-a

b=b

a-8=10-a

a+a=10+8

2a= 18

a= 9

The initial amount of the element is 16

Since, The function is given as:

f(t) = 16(1/2)^t

Now, Set t = 0, to determine the initial amount.

f(0) = 16(1/2)⁰

This gives

f(0) = 16 x 1

Evaluate as

f(0) = 16

Hence, the initial amount of the element is 16

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$4,416.90 is the amount of taxes owed on a taxable income of $38,520.

To determine the amount of taxes owed on a taxable income of $38,520, we need to use the marginal tax rate chart to determine the tax owed for each tax bracket, and then add them up.

The first $10,275 of income is taxed at a rate of 10%, which results in a tax of:

$10,275 x 0.10 = $1,027.50

The next $28,245 of income ($38,520 - $10,275) is taxed at a rate of 12%, which results in a tax of:

$28,245 x 0.12 = $3,389.40

Therefore, the total amount of taxes owed on a taxable income of $38,520 is:

$1,027.50 + $3,389.40 = $4,416.90

Therefore, the correct answer is $4,416.90.

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The probability that a randomly selected adult has an IQ between 90 and 120 is 0.6554 or 65.54%.

We need to find the probability of an adult having an IQ between 90 and 120.

Using the formula for standardizing a normal distribution:

z = (x - μ) / σ

where x is the IQ score, μ is the mean IQ, and σ is the standard deviation.

For x = 90:

z = (90 - 105) / 20 = -0.75

For x = 120:

z = (120 - 105) / 20 = 0.75

Using a standard normal distribution table or calculator

we can find the area under the curve between z = -0.75 and z = 0.75 to be approximately 0.6554.

Therefore, the probability that a randomly selected adult has an IQ between 90 and 120 is approximately 0.6554 or 65.54%.

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A. I) The contribution margin of Lamda Corporation, given the forecast for the next year, is $330,000.

A. II) Based on the forecast, the contribution rate is 55%.

B. I) The break-even point in dollars is $500,000.

B. II) The break-even point as a percent of capacity is 62.5%.

C) The break-even volume in dollars if fixed cost is increased by $40,000 while variable cost is held to 40% of sales is $525,000.

Sales revenue = $600,000

Fixed cost = $275,000

Variable cost =  $270,000

Total cost = $545,000

Net income = $55,000

a) Contribution margin = $330,000 ($600,000 - $270,000)

Contribution rate = 55% ($330,000 ÷ $600,000)

b) Break-even point in dollars = Fixed Cost/Contribution rate

= $275,000 ÷ 0.55

= $500,000

Break-even point as a percent of capacity = 62.5% ($500,000/$800,000 x 100)

c) Break-even point in dollars when fixed cost is increased by $40,000 and variable cost held to 40% of sales

Fixed cost = $315,000 ($275,000 + $40,000)

Contribution margin rate = 60% (100 - 40%)

= $315,000÷60%

= $525,000

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The value of 'x' will be 4. Then the length of QU will be 6.5 units.

Given that:

Chords, QR = 13 and ST = 3x + 1

Perpendicular length, ZU = 6 and ZV = 6

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The perpendicular length ZU and ZV are the same. Then the length of the chords will be the same. Then we have

QR = ST

13 = 3x + 1

3x = 13 - 1

3x = 12

x = 4

The value of QU is half of QR, then we have

QU = QR / 2

QU = 13 / 2

QU = 6.5

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The complete question is given below.

The variance with a mean score of 161.2 and n=5, assuming scores of 160, 162, 165, 159, and 163, is 4.12.

To work out the difference with a mean score of 161.2 and an example size of 5, we really want to involve the equation for fluctuation:

Difference =[tex](Σ (X - μ)^2)/n[/tex]

Where [tex]Σ (X - μ)^2[/tex] is the amount of squared deviations of each score from the mean, and n is the example size. How about we accept that the scores are as per the following: 160, 162, 165, 159, and 163. In the first place, we work out the deviation of each score from the mean:

160-161.2=-1.2

162-161.2=0.8

165-161.2=3.8

159-161.2=-2.2

163-161.2=1.8

Then, we square every deviation:

[tex](-1.2)^2[/tex] = 1.44

[tex](0.8)^2[/tex] = 0.64

[tex](3.8)^2[/tex] = 14.44

[tex](-2.2)^2[/tex] = 4.84

[tex](1.8)^2[/tex] = 3.24

Then, we total the squared deviations:

1.44 + 0.64 + 14.44 + 4.84 + 3.24 = 24.6

At last, we partition the amount of squared deviations by the example size to acquire the difference:

Change = 24.6/5 = 4.92

In this way, the fluctuation with a mean score of 161.2 and an example size of 5, expecting the scores are 160, 162, 165, 159, and 163, is 4.92.

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The complete question is:

Calculate the mean, variance and standard deviation of final exam scores of 6 students in MAT150.5 course. There are total 25 students. 90 85 74 91 89 (?) (?) = Last two digits of your CUNYFirst ID Number. (05 = 5,00 = 0) X-X (x-x)2.

It will take the college student 14 months to retire the loan. It will take 293 monthly payments to pay off the home loan.

1) It will take him 14 months to retire the loan.

2) It will take 293 monthly payments to pay off the home loan.

The information given in first scenario is

P = $250

A = $3000

r = 2%

Using the formula,

n = - log( 1 - Ar/12P) / log(1+ r/12)

Substituting the values,

n = - log( 1 - (0.02/12)*3000/250) / log(1+ 0.02/12)

n = 13.96

Rounding to the nearest month,

It will take him 14 months to retire the loan.

The information given in second scenario is,

P = $585.80

A = $133000

r = 5%

Using the formula,

n = - log( 1 - Ar/12P) / log(1+ r/12)

Substituting the values,

n = - log( 1 - (0.05/12)*133000/585.80) / log(1+ 0.05/12)

n = 292.43

Rounding to the nearest month,

It will take 293 monthly payments to pay off the home loan.

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For the set C = {4, 6, 8, 10, 13), the Cardinality or size of the set C is :n(C) =5.

The cardinality or size of a set C is denoted by the notation n(C). It shows the total number of elements in set C, where each element is distinct and does not occur more than once.

In set C = {4, 6, 8, 10, 13}, there are five distinct elements in which each of this element tend to occur once in the set.

Hence,

Cardinality or size of the set C = 5

OR

n(C) = 5

Therefore n(C)  is 5.

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The value of the function H(X) is,

H(-1) = -2

H(0) = -3

H(1) =  -4

H(3) = -6

H(4) = -7

To complete the function table, we need to evaluate the function H(x) for each value of x:

A function is a mathematical object that takes an input (or inputs) and produces a corresponding output (or outputs) based on a set of rules or instructions. In other words, a function is a relationship between two sets of numbers, where each input corresponds to exactly one output.

The value of the function at different input values are,

H(-1) = -1 -(-1) - 3 = -2

H(0) =  0 -(0) - 3 = -3

H(1) =  1 -(1) - 3 = -4

H(3) = 3 -(3) - 3 = -6

H(4) = 4 -(4) - 3 = -7

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Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

Linda can represent the different kinds of spaces she has planned for the playroom through a floor plan diagram.

The purpose and function of a floor plan, which is an illustration of a room or building's layout viewed from above, and includes walls, windows, doors, furniture, and other objects in the space.

When designing a children's playroom, a floor plan can be useful to indicate various designated areas such as storage, seating, and play spaces, along with the arrangement of fixtures like tables, shelves, and chairs relative to those zones. By utilizing visual references for planning purposes, creating a functional and visually-pleasing play area that caters to the needs of its young inhabitants becomes much more achievable.

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The transformation that produces a similar figure that is not congruent to the orginal figure would be: A. dilation.

We know that Dilation is a formm of transformation which involves the enlargement or reduction of an image to create a new image that is similar to the original image.

By implication, the new image has becomes different size but the same shape with the original image.

However Dilation produces a figure that is similar but not congruent to the original figure.

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The solution is, the value of the digit 3 in the number 63,297 compare to the value of the digit of 3 in the number 60,325 is 2700.

Here,  we have,

given that,

the value of the digit 3 in the number 63,297 compare to the value of the digit of 3 in the number 60,325.

we have,

The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.

we know,

the value of the digit 3 in the number 63,297 = 3000

the value of the digit 3 in the number 60,325 = 300

so, we get,

The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:

= 3000 - 300

= 2700

Hence, the value of the digit 3 in the number 63,297 compare to the value of the digit of 3 in the number 60,325 is 2700.

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Answer:

The Central Limit Theorem states that the distribution of the sample means tend to be approximately normal as sample sizes increase.

Step-by-step explanation:

An expression that correctly sets up the quadratic formula include the following: C. [tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(1)(4)}}{2(1)}[/tex]

In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Mathematically, the quadratic formula is represented by this mathematical equation:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

For the given quadratic equation x² + 1 =2x-3, we have:

x² - 2x + 1 + 3 =0

x² - 2x + 4 =0

[tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(1)(4)}}{2(1)}[/tex]

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