In addition to limit theorems that deal with sums, there are limit theorems that deal withextreme values such as maxima or minima. Here is an example. Let U1, . . . , Un be independent random variables distributed uniformly on [0, 1], and let U(n) be their maximum. Findthe cdf of U(n) and a standardized U(n), and show that the standardized variable tends to alimiting value.

Answers

Answer 1

cdf of U(n) = Var(Sn)=1

what is standard function?

A standard function is one that is defined on an interval of R and is acquired by a finite series of standard operations beginning with any three fundamental functions.

What are the fundamental duties?

f(x) = x is the identity function. f(x) = exp, an exponential function (x)

given

let U1, . . . ],

U(n) be their maximum

so cdf of U(n) =does not have a limiting distribution.

Why will a pub and up be equal to zero when Y is less than and one win in is less than the other.

There isn't a standard distribution function that can match this limit everywhere.

hence  cdf of U(n) = Var(Sn)=1

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Related Questions

Score on last attempt: 2.5 out of 3 Score in gradebook 2.5 out of 3 For each of the following accounts, determine the growth factor and percent change for the account value over one compounding period a Account A has a 5% APR compounded monthly (12 times per year). Determine the account value's growth factor and percent change per compounding period Preview 1. Monthly Growth Factor: 1.0041667 ii. Monthly Percent Change: (1.0041667-1)-100 % Preview b. Account B has a 6.9% APR compounded quarterly (4 times per year). Determine the account value's growth factor and percent change per compounding period. i. Quarterly Growth Factor: 14(0.069/4) Preview 11. Quarterly Percent Change: (1.01725-1)*100 % Preview c. Account Chas a 3.4% APR compounded daily (365 times per year). Determine the account value's growth factor and percent change per compounding period i. Daily Growth Factor: 1+(0.034/100) Preview 11. Daily Percent Change: (1.00034.1) 100 N% Preview Submit

Answers

given rate r = 5% compounded monthly r = 0.05/12 = 0.0041667

(1) monthly growth factor = 1.0041667 (2) monthly percent change = (1.0041667-1)*100%= 0.0041667*100% monthly percent change = 0.41667%

(B) given rate r = 6.9% compounded quarterly

r = 0.069/4 = 0.01725

(1) Quarterly growth factor = 1.01725

(2) Quarterly percent change = (1.01725-1)*100%= 0.01725*100% monthly percent change =1.725%

(C) given rate r = 3.4% compounded quarterly

r = 0.034/365 = 9.315 * 10 ^ - 5

(1) daily growth factor = 1 + 9.315 * 10 ^ - 5 = 1.00009315

(2) daily percent change = (1.00009315-1)*100%= 0.00009315*100% monthly percent change =0.009315%

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a clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p , it can charge per shirt. in particular, historical data shows that 6000 shirts can be sold at a price of $55, while 8000 shirts can be sold at a price of $47. give a linear equation in the form p

Answers

The linear relationship between the number of shirts, n ,it can sell and the price, p is p = (-1/250)x + 79

The linear equation is

y = mx + b

Where m is the slope of the line

b is the y intercept

Here p is the total price

n is the number of shirts

The equation will be

p = mn + b

The price of 6000 shirts = $55

The price of 8000 shirts = $47

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line

The slope of the line = (47-55) / (8000-6000)

= -8/2000

= - 1/250

Substitute the point (6000, 55) in the equation

55 = (-1/250)(6000) +  b

55 = -24 + b

b = 55 + 24

b = 79

Substitute the values in the equation

p = (-1/250)x + 79

Therefore, the linear relation in the form of p is p = (-1/250)x + 79

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use lagrange multipliers to find the maximum or minimum values of the function subject to the given constraint. (if an answer does not exist, enter dne.) f(x, y, z)

Answers

The minimum and the maximum values are 0 and 1/27, respectively.

The extreme values of a function are the minimum and the maximum values of the function.

The function is given as:

f(x, y, z) = x²y²z²

x² + y² + z² = 1

Subtract 1 from both sides of x² + y² + z² – 1

x² + y² + z²-1=0

Using Lagrange multiplies, we have:

L(xy.z. λ) f(x. y.z) + λ(0)

Substitute f(x.y. z) = x³y²z² and x² + y² + z² − 1 = 0

L(x, y, λ) = x²y²z² + λ(x² + y² + 2² – 1)

Differentiate

Lx = 2xy²z² + 2λx

Ly = 2x²yz² + 2λy

Lz = 2x²y³z + 2λz

Lλ = x² + y² + z²

Equate to 0

2xy²z² + 2λx = 0

2x²yz² + 2λy = 0

2x²y²z+ 2λz = 0

x² + y² + z²-1=0

Factorize the above expressions

2xy²z²+2λx = 0

2x(y²z² + λ) = 0

2x = 0 or y²z²+λ=0

x=0 or y²z² = -λ

2x²yz² + 2λy = 0

2y(x²z² + λ) = 0

2y=0 or x²z²+λ=0

y = 0 or x²z² = -λ

2x²y²z+λz = 0

2z(x²y² + λ) = 0

2z = 0 or x²y² +λ=0

z = 0 or x²y² = -λ

So, we have:

x = 0 or y²z² = -λ

y=0 or x²z² = -λ

z = 0 or x²y² = -λ

Because

-λ= -λ

The above expressions become:

x=y=z=0

x²z² = y²z²

x² = y²

x = ±y

Also, we have:

x²y² = x²z²

y² = z²

y = tz

Also:

y²z² = x²y²

z² = x²

z = ±x

So, we have:

x = ±y

y = ±z

z = ±x

This means that:

x=y=z

Recall that: x² + y² + z² = 1

So, we have:

x² + x² + x² = 1

3x² = 1

Divide through by 3

x² = 1/3

Take square roots of both sides

x=±[tex]\frac{1} \sqrt{3}[/tex]

So, we have:

x=y=z=±[tex]\frac{1} \sqrt{3}[/tex]

So, the critical points are:

x=y=z=0

x=y=z=±[tex]\frac{1} \sqrt{3}[/tex]

Substitute the above values in f(x, y, z)=x²y²z²

f(0,0,0) = 0² × 0² × 0² = 0

f(±[tex]\frac{1} \sqrt{3}[/tex],±[tex]\frac{1} \sqrt{3}[/tex],±[tex]\frac{1} \sqrt{3}[/tex]) = (±±[tex]\frac{1} \sqrt{3}[/tex])² × (±±[tex]\frac{1} \sqrt{3}[/tex])² × (±±[tex]\frac{1} \sqrt{3}[/tex])² =[tex]\frac{1}{27}[/tex]

Considering the above values, we have:

Minimum 0

Maximum =      1/27

Hence, the minimum and the maximum values are 0 and 1/27, respectively.

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4 kilometer from house to the nearest mailbox. how far is it in meter?

Answers

Answer:

4 kilometers is equal to 4000 meters.

Step-by-step explanation:

1 kilometer is equal to 1000 meters, so 4 kilometers is equal to 4 x 1000 = 4000 meters. This is because the prefix "kilo" means 1000, so 1 kilometer is equivalent to 1000 meters.

4000 meters.

4 kilometers is equal to 4000 meters.

- multiply the length value by 1000

At a time t hours after taking a tablet, the rate at which a drug is being eliminated is r(t) = 50(e^-0.1 t - e^-0.20 t) mg/hr. Assuming that all the drug is eventually eliminated, calculate the original dose. Enter the exact answer. The original dose was _______mg

Answers

At a time t hours after taking a tablet, the rate at which a drug is being eliminated is r(t) = 50(e^-0.1 t - e^-0.20 t) mg/hr. Assuming that all the drug is eventually eliminated, calculate the original dose. Enter the exact answer. The original dose was 0 mg.

A limit is a value that a function or sequence approaches as the input or index approaches a certain value. Limits are a fundamental concept in calculus, and they are used to define important ideas such as derivatives and integrals. They are also used in other areas of mathematics, such as real analysis and mathematical analysis.

The rate at which the drug is being eliminated is the derivative of the amount of drug present at time t. We can write this as:

r(t) = dA(t)/dt = 50(e^-0.1 t - e^-0.20 t) mg/hr

If we integrate both sides of this equation with respect to t, we get:

A(t) = ∫r(t) dt = ∫50(e^-0.1 t - e^-0.20 t) dt

This integral can be evaluated using integration by parts. Let u = e^-0.1 t and dv = e^-0.20 t. Then du = -0.1 e^-0.1 t and v = -1/(0.2) * e^-0.20 t = -5e^-0.20 t. We can then write:

A(t) = -5 ∫e^-0.1 t * e^-0.20 t dt + (1/0.2) ∫e^-0.1 t dt

The first integral on the right-hand side can be evaluated using the substitution y = -0.3t, which gives:

A(t) = -5 ∫e^y dy + (1/0.2) ∫e^-0.1 t dt

The first integral is simply -5e^y, and the second integral is -5e^-0.1 t. Substituting these results back into the expression for A(t) gives:

A(t) = -5(-5e^-0.3 t) + (1/0.2)(-5e^-0.1 t)

Combining constants and simplifying gives:

A(t) = 25e^-0.1 t - 25e^-0.3 t

We are told that all the drug is eventually eliminated, so A(t) approaches 0 as t approaches infinity. This means that the original dose A(0) must be equal to the limit of A(t) as t approaches 0.

Taking the limit as t approaches 0 gives:

A(0) = lim t → 0 [25e^-0.1 t - 25e^-0.3 t]

This limit is equal to 25 - 25 = 0, so the original dose was 0 mg.

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Use the given information to prove that ΔRST ≅ ΔVUT.
Given: ST ≅ UT
∠SRT ≅ ∠UVT
Prove: ΔRST ≅ ΔVUT

Answers

Based on the given information , the proof of triangle RST ≅ triangle VUT is shown below .

In the question ,

two triangles are given where ;

it is given that side  ST ≅ UT

and  ∠SRT ≅ ∠UVT .

we have to prove that ΔRST congruent  ΔVUT .

In triangle RST and triangle VUT .

side ST = side UT              .....given that ST ≅ UT ;

angle SRT = angle UVT    ....given that  ∠SRT ≅ ∠UVT ;

angle RTS = angle VTU    .....because they are vertically opposite angles .

Hence by ASA congruence , triangle RST ≅ triangle VUT .

Therefore , it is proved that triangle RST ≅ triangle VUT  .

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leg-leg (ll) congruence theorem if the legs of a right triangle are congruent to the legs of a second right triangle, then the triangles are congruent.

Answers

The leg-leg (LL) theorem of congruency states that if the legs of a right triangle are equal to the legs of a second right triangle, then the two triangles are congruent.

We know that two triangles are congruent if and only if they have three pairs of equal sides.

In the case of the LL congruence theorem,

the two triangles have two pairs of equal sides (the legs) and one pair of equal angles (the right angles).

Therefore by the Side-Angle-Side (SAS) congruence criterion, the 2 triangles are congruent.

Alternatively

If the legs are of equal length then

Their squares would be equal to

Hence, the sum of these squares too would be equal.

Now taking a root over these would give us the hypotenuse for these triangles, which in turn should be equal.

Hence, by SSS congruence criteria

the triangles would be congruent.

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What improvement can we make?​​

Answers

In general, the improvements that we can make refer to optimizations that can be applied in a context.

¿What are the improvements?

In a particular process or context, the best are optimizations that are done to make something more efficient or to improve the quality of an element.

For example, some improvements that we could make in our community are:

Establish more efficient containers to better collect garbage.Optimize public lighting. Improve solid waste management.

¡Hope this helped!

we have the number of rinks resurfaced by zzz zambonis is equal to the rate for zzz zambonis times the time. we want the time for 1\,\text{rink}1rink1, start text, r, i, n, k, end text , and we want that time to be less than or equal to 5\,\text{minutes}5minutes5, start text, m, i, n, u, t, e, s, end text. therefore: 1\,\text{rink}

Answers

we want that time to be less than equation or equal to 5 minutes start text, m, i, n, u, t, e, s, end text. therefore: 1[tex]5minutes[/tex]

Rate for ZZZ Zambonis × Time ≤ 5 minutes

Time ≤ 5 minutes/Rate for ZZZ Zambonis

To solve for the time needed to resurface one rink, we first need to set up an equation. We know that the number of rinks resurfaced by ZZZ Zambonis is equal to the rate for ZZZ Zambonis multiplied by the time. We want the time for 1 rink to be less than or equal to 5 minutes, so we need to solve for time in the equation. We can do this by dividing both sides of the equation by the rate for ZZZ Zambonis, resulting in the equation Time ≤ 5 minutes/Rate for ZZZ Zambonis. This equation gives us the maximum time needed to resurface one rink.

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Here is the preference schedule for a recent election among four candidates:

Number of voters 7 1 11 5 2 19 9
1st choice A X D A X A G
2nd choice X G G G A D X
3rd choice D D A X G X D
4th choice G A X D D G A


How many voters voted in this election?

How many first place votes are needed for a majority?

Which candidate/choice had the most first-place votes?

Which candidate/choice has the least first-place votes?

Which candidate/choice had the most last-place votes?

Which candidate/choice has the least last-place votes?

Answers

Answer:

There were a total of 7 + 1 + 11 + 5 + 2 + 19 + 9 = 44 voters in this election.

To get a majority, a candidate would need at least 44 / 2 + 1 = 23 first place votes.

The candidate with the most first-place votes is A, with a total of 7 + 1 + 5 = 13 first-place votes.

The candidate with the least first-place votes is X, with a total of 1 first-place vote.

The candidate with the most last-place votes is G, with a total of 9 + 2 + 9 = 20 last-place votes.

The candidate with the least last-place votes is X, with a total of 0 last-place votes.

Step-by-step explanation:

differentiate of the following w.r.t.x

i mark u branlist if u give me right answer​

Answers

The differentiation of y = logx - cosecx + 5ˣ + 3/(x^(3/2)) with respect to x is cotx.cosecx + log(5).5ˣ + 1/x - 9/(2x^(5/2))

How to differentiate y = logx - cosecx + 5ˣ + 3/(x^(3/2)) with respect to x?

In mathematics, differentiation is the process of finding the derivative of a function. The derivative of a function is a measure of how the function changes as its input (or independent variable) change

Given: y = logx - cosecx + 5ˣ + 3/(x^(3/2))

Thus, the derivative will be:

d/dx [logx - cosecx + 5ˣ + 3/(x^(3/2))]

= d/dx [logx] -  d/dx [logx]  +  d/dx [5ˣ]  +  3d/dx[(x^(3/2))]

= 1/x -  (-cotx)cosecx + log(5).5ˣ + 3(-3/2)x^((3/2) -1)

=  cotx.cosecx + log(5).5ˣ + 1/x - 9/(2x^(5/2))

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The ABC Corporation is considering opening an office in a new market area that
would allow it to increase its annual sales by $2.6 million. The cost of goods sold is
estimated to be 40 percent of sales, and corporate overhead would increase by
$306,500, not including the cost of either acquiring or leasing office space. The
corporation will have to invest $2.6 million in office furniture, office equipment, and
other up-front costs associated with opening the new office before considering the
costs of owning or leasing the office space.
A small office building could be purchased for sole use by the corporation at a total
price of $5.8 million, of which $900,000 of the purchase price would represent land
value, and $4.9 million would represent building value. The cost of the building would
be depreciated over 39 years. The corporation is in a 21 percent tax bracket. An
investor is willing to purchase the same building and lease it to the corporation for
$645,000 per year for a term of 15 years, with the corporation paying all real estate
operating expenses (absolute net lease). Real estate operating expenses are
estimated to be 50 percent of the lease payments. Estimates are that the property
value will increase over the 15-year lease term for a sale price of $6.3 million at the
end of the 15 years. the property is purchased, it would be financed with an interest-
only mortgage for $3,280,000 at an interest rate of 4.5 percent with a balloon
payment due after 15 years.
Required:
a. What is the return from opening the office building under the assumption that it is
leased?
b. What is the return from opening the office building under the assumption that it is
owned?
c. What is the return on the incremental cash flow from owning versus leasing?

Answers

A:

The return from opening the office building under the assumption that it is leased would be the difference between the net income generated by the increase in sales and the expenses associated with opening the new office, including the cost of leasing the office space.

To calculate the net income generated by the increase in sales, we first need to calculate the total cost of goods sold. Since the cost of goods sold is estimated to be 40 percent of sales, the cost of goods sold for the new office would be 40 percent x $2.6 million = $<<40*.01*2.6=1.04>>1.04 million.

Subtracting the cost of goods sold from the increase in sales, we find that the net income generated by the increase in sales would be $2.6 million - $1.04 million = $<<2.6-1.04=1.56>>1.56 million.

Next, we need to calculate the expenses associated with opening the new office, including the cost of leasing the office space. Since the corporate overhead would increase by $306,500, the total up-front costs associated with opening the new office would be $306,500 + $2.6 million = $<<306.5+2.6=2.906>>2.906 million.

To calculate the cost of leasing the office space, we need to multiply the annual lease payment by the number of years in the lease term. Since the annual lease payment is $645,000 and the lease term is 15 years, the total cost of leasing the office space would be $645,000 x 15 years = $<<645000*15=9675000>>9.675 million.

Subtracting the total up-front costs and the cost of leasing the office space from the net income generated by the increase in sales, we find that the return from opening the office building under the assumption that it is leased would be $1.56 million - $2.906 million - $9.675 million = $<<1.56-2.906-9.675=-9.020>>-9.020 million. This means that the corporation would incur a loss of $9.020 million by opening the new office and leasing the office space.

B:

C:

To calculate the return on the incremental cash flow from owning versus leasing, we need to subtract the cash flow from leasing the office space from the cash flow from owning the office space.

First, let's calculate the cash flow from leasing the office space. We already know that the total cost of leasing the office space would be $9.675 million. To calculate the cash flow from leasing the office space, we need to subtract the real estate operating expenses from the total cost of leasing the office space. Since the real estate operating expenses are estimated to be 50 percent of the lease payments, the real estate operating expenses would be 50 percent x $645,000 = $<<50*.01645=322500>>322,500 per year. Since the lease term is 15 years, the total real estate operating expenses would be $322,500 x 15 years = $<<322.515=4837.5>>4,837,500. Subtracting the real estate operating expenses from the total cost of leasing the office space, we find that the cash flow from leasing the office space would be $9.675 million - $4.837.5 million = $<<9.675-4.837.5=4.837.5>>4,837,500.

Next, let's calculate the cash flow from owning the office space. We already know that the total up-front costs associated with opening the new office would be $2.906 million. To calculate the cash flow from owning the office space, we need to subtract the total annual operating expenses from the net income generated by the increase in sales. Since the net income generated by the increase in sales is $1.56 million and the total annual operating expenses are $217,774.36, the cash flow from owning the office space would be $1.56 million - $217,774.36 = $<<1.56-217774.36=1.34222564>>1,342,225.64.

Finally, to calculate the return on the incremental cash flow from owning versus leasing, we need to subtract the cash flow from leasing the office space from the cash flow from owning the office space. Therefore, the return on the incremental cash flow from owning versus leasing would be $1,342,225.64 - $4,837,500 = $<<1.34222564-4.837.5=-3.495.5>>-3,495,500. This means that the corporation would incur a loss of $3.495.5 million by choosing to own the office space instead of leasing it.

Round 13.689 to the nearest hundredth

Answers

Hundredth is the 2nd decimal place away from the decimal point. In 13.689, 8 is in the hundredths place. When you round tho, you don’t just take the number that’s already in the hundredths place, you have to look at the number directly after it. Since 9 is directly after it, in the thousandths place, and it’s part of the numbers 5-9 which signify to round up, you have to round the 8 up to 9. So in the end, the rounded number would be 13.69

46. The table shows the temperature (in degrees) for eight consecutive days as well as the
respective number of ice cream cones an ice cream shop sold on each of these days.
Temperature 68 77 83 85 89 94 96 99
Number of Cones 403 447 457 465 489 503 543 576
About how many ice cream cones would you expect the shop to sell if the temperature one day
is 106 degrees? Find a line of best fit for this data and use it to make your prediction.
0579 cones
0585 cones
O 602 cones
(617 cones

Answers

A line of best fit for this problem is y = 5.08x + 46.59. The number of ice cream cones that you would expect the shop to sell if the temperature one day is 106 degrees is; 585 cones

How to find the line of best fit?

A graph of the scatter plot and line of best fit is as shown in the attached file.

The temperature in this problem is the independent variable, or x.  This is due to the fact that we are assuming that the particular number of ice cream cones sold will depend on the temperature. Therefore, we can say that the number of ice cream cones will be the dependent variable, or y.

Therefore in our graphing calculator, we will enter temperature in the first list and then the number of cones in the second.

Sequel to drawing the scatter plot, we run the linear regression; we get the values for a and b in our equation, y = ax + b:

a = 5.08

b = 46.59

Therefore, the equation is;

y = 5.08x + 46.59.

Entering our temperature of 106 degrees, for x gives;

y = 5.08(106) + 46.59

= 585.07

≈ 585

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evaluate the integral below by interpreting it in terms of areas in the figure. the areas of the labeled regions are a1

Answers

The integral can be evaluated by interpreting it in terms of the area of the labeled regions in the figure. The integral is equal to the sum of the areas of the labeled regions, which is equal to a1.

1. The integral is given as an area under a graph.

2. The graph has labeled regions.

3. The integral can be evaluated by interpreting it in terms of the area of the labeled regions in the figure.

4. The integral is equal to the sum of the areas of the labeled regions, which is equal to a1.

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Rewrite the set U by listing its elements. Make sure to use the appropriate set
notation.
U= {x|x is an integer and -4 U =

Answers

The set U can be rewritten by listing its elements as follows:

U = {..., -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}

In this notation, the "..." symbol indicates that the set continues in both the negative and positive direction, and that all integers from negative infinity to positive infinity are included in the set. This notation is commonly used to represent sets of integers or other infinite sets in mathematics.

Please help will mark Brainly

Answers

The number of the adult will be 77

The number of the child will be 160.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

237 peoples used the public swimming pool.

And, The daily prices are $1.75 for children and $2 for adult.

Now,

Let The number of the adult = x

The number of the child = y

So, We can formulate;

237 peoples used the public swimming pool.

⇒ x + y = 237 ..(i)

And, The daily prices are $1.75 for children and $2 for adult.

⇒ 2x + 1.75y = 444  ..(ii)

From (i);

⇒ x + y = 237

⇒ x = 237 - y

Substitute above value in (ii), we get;

⇒ 2x + 1.75y = 444

⇒ 2 (237 - y) + 1.75y = 444

⇒ 474 - 2y + 1.75y = 444

⇒ 474 - 444 = 0.25y

⇒ 40 = 0.25y

⇒ y = 160

And, from (i),

⇒ x + y = 237

⇒ x + 160 = 237

⇒ x  = 77

Thus, The number of the adult = 77

The number of the child = 160.

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In triangle, HIJ, N is the centroid. If
HK = 10, find KI.

Answers

Answer:

4k because is right is the best answer

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
a. y= ?
b. y=?

Answers

The equation of line that passes through the given point and is (a) parallel  to given line is 4x + y - 16 =0

(b) perpendicular to given line is 4x - y -8 =0

According to the question,

The required line is passing through given points and is

(a) parallel (b) perpendicular to given line

Let the equation of required line be (y - y') = m'(x - x')

(a) Parallel

If two lines are parallel to each other then their slopes are equal

Slope of given line : m = y2 - y1 / x2-x1

This line passes through (2,2) and (1,6)

=> m = 6 - 2 / 1 - 2

=> m = -4

Therefore , the slope of required line will be -4 also,

Required line passes through (4,3)

Equation of required line = (y - 4) = -4(x - 3)

=> y - 4 = -4x + 12

=> 4x + y - 16 =0

(b) Perpendicular

If two lines are perpendicular to each other then the product of their slope is -1

So, m × m' = -1

=> -4 × m' = -1

Dividing by -4

=> m' = 4

Therefore , equation of required line =>  (y - 4) = 4(x - 3)

=> y - 4 = 4x - 12

=> 4x - y -8 =0

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Gretchen spends 5.1 hours on Monday, 3/3/5 hours on Tuesday, and 5/3/10 hours on Wednesday studying for her final exams. If she spends 3/1/2 hours studying for each exam, how many exams does she have to take?

Answers

The number of exams that Gretchen has to take is 4 exams.

How many exams does Gretchen have to take?

From the information illustrated, Gretchen spends 5.1 hours on Monday, 3/3/5 hours on Tuesday, and 5/3/10 hours on Wednesday studying for her final exams. The total hours that she used will be:

= 5.1 + 3 3/5 + 5 3/10

= 5.1 + 3.6 + 5.3

= 14 hours.

Since she spends 3/1/2 hours studying for each exam, the number of exams that she has to take will be:

= Number of hours / Hours used for each exam

= 14 / 3 1/2

= 4 exams

The number of exams are 4.

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Cast Iron Grills, Incorporated, manufactures premium gas barbecue grills. The
company reports inventory and cost of goods sold based on calculations from a LIFO
periodic inventory system. Cast Iron's December 31, 2024, fiscal year-end inventory
consisted of the following (listed in chronological order of acquisition):
Units. Unit cost
6,800. 600
4,900. 700
7,800. 800

The replacement cost of the grills throughout 2025 was $900. Cast Iron sold 36,000
grills during 2025. The company's selling price is set at 200% of the current
replacement cost.

Required:
1. & 2. Compute the gross profit (sales minus cost of goods sold) and the gross profit
ratio for 2025 under two different assumptions. First, that Cast Iron purchased 37,000
units and, second, that Cast Iron purchased 19,500 units during the year.
4. Compute the gross profit (sales minus cost of goods sold) and the gross profit ratio
for 2025 assuming that Cast Iron purchased 37,000 units (as per the first assumption)
and 19,500 units (as per the second assumption) during the year and uses the FIFO
inventory cost method rather than the LIFO method.

Answers

Answer:

a) ending inventory:     11,850,000

  cost of goods sold: 25,200,000

 gross profit               25,200,000

b)

ending inventory:     1,800,000

cost of goods sold:  23,100,000

gross profit  50,400,000 - 23,100,000 =  27,300,000

5,200 at $600

4,100 at $700

6,200 at $800

purchase 29,000 at $900

-sold 28,000 grills

As we use LIFO we sale from the last purchase thus, 29,000 - 28,000 = 1,000 of this units are added as another layer for the inventory account

ending inventory

5,200 at $  600

4,100 at $   700

6,200 at $  800

1,000  at $  900

Total    $ 11,850,000

cost of good sold:

28,000 x $900 = $25,200,000

sales revenue

28,000 x 900 x 200% = $50,400,000

gross profit sales revenue less COGS

b) 5,200 at $600

4,100 at $700

6,200 at $800

purchase 15,500 at $900

-sold 28,000 grills

we check how many layer deep we go:

28,000 - 15,500 at 900= 12,500

12,500  -  6,200  at 800=  6,300

6,300 - 4,100 at 700      =  2,200  at 600

Ending Inventory

3,000 at $600 = $ 1,800,000

COGS:

15,500 x 900 + 6,200 x 800 + 4,100 x 700 + 2,200 x 600 = 23,100,000

Step-by-step explanation:

which phrase describes the variable expression 7 ÷ s?
a) 7 decreased by s
b) the product of 7 and s
c) 7 increased by s
d) the quotient of 7 and s

Answers

The phrase describes the variable expression 7 ÷ s is the quotient of 7 and s.

The correct option is (d).

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

Expression: 7 ÷ s

We know that the division results to quotient.

So, the expression shows the 7 is divided by s to give the quotient.

Hence, the answer is the quotient of 7 and s.

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Ariel earns $8.00 per hour. Her benefits package is equal to 15% of her hourly wages.
Ariel works 40 hours each work week. How much does Ariel earn in a week WITH
benefits?

Answers

Answer:

$368 per week

Step-by-step explanation:

[tex]8 \times 40 \times 1.15 = 368[/tex]

an assembly consists of two mechanical components. suppose that the probabilities that the firt and second components meet specfications are 0.81 and 0.84 respectfully. assume that the components are independent. x denotes the number of components in the assembly that meet specifications. obtain the cumulative distribution function (cdf)

Answers

The probability of the cumulative distribution function  to meet the specification of the components is given by P( X = 0 ) = 0.0304 ,

P( X = 1 ) = 0.2892 , P( X = 2) = 0.6804.

As given in the question,

Let probability of the first component to meet the specification be P (M)

= 0.81

And probability of the second component to meet the specification be P (N)

= 0.84

Probability of the first component do not meet the specification be P ( M' )

= 1 - 0.81

= 0.19

Probability of second component do not meet the specification be P(N' )

= 1 - 0.84

= 0.16

X defined the number of components to the meet the specifications

Here X = 0, 1, 2

P( X = 0 ) represents components do not meet any specifications

= P( M' ∩ N' )

= P(M') P(N')   ( Independent )

= 0.19 × 0.16

= 0.0304

P( X= 1) represents components meet only one specification

= P( M∩N') ∪ P( M'∩N)

= P( M∩N') + P( M'∩N)

=  P(M) P(N')  +  P(M') P(N)  

= 0.81(0.16) + (0.19)(0.84)

= 0.1296 + 0.1596

= 0.2892

P( X=2) represents components meet both the specification

= P( M ∩ N )

= P(M) P(N)

= 0.81(0.84)

= 0.6804

Therefore, the probability of the cumulative distribution function is given by P( X = 0 ) = 0.0304 , P( X = 1 ) = 0.2892 , P( X = 2) = 0.6804.

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Which of the following sets of numbers could not represent the three sides of a right
triangle?
O {48, 55, 73}
O {39, 80, 89}
O {42, 56, 70}
O {10, 23, 26}
Submit Answer

Answers

{48, 55, 73} and  {10, 23, 26} do not represent a right angle triangle.

What is the way of classifying a triangle?

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

Now,

48² + 53² = 73².

2304 + 2809 = 5329.

5113 ≠ 5329 so do not represents a right-angle triangle.

Similarly,

39² + 80² = 89² represents a right-angle triangle.

42² + 56² = 70² represents a right-angle triangle.

10² + 23² ≠ 26²so do not represent a right-angle triangle.

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consider a pair of integers (a b) the following operations can be performed on (a,b) in any order, zero or more times

Answers

If we consider  a pair of integers (a b) and the given operations, then the java program that depicts it is as written below.

How to carry out programming in Java?

The program that carries out the required operations on the pair of integers is;

static LinkedList<Pair<Integer,Integer>> pairs = new LinkedList<Pair<Integer, Integer>>();

   public static String isItPossible(Integer a, Integer b, Integer c, Integer d){

       pairs.addLast(new Pair<Integer, Integer>(a,b));

       while (!pairs.isEmpty()){

           Pair<Integer,Integer> pair = pairs.poll();

           Integer key = pair.getKey();

           Integer value = pair.getValue();

           if(key.equals(a) &&

                   value.equals(b)){

               return "YES";

           }

           int sum=key+value;

           if (sum<=c){

               pairs.addLast(new Pair<Integer, Integer>(sum,value));

           }

           if (sum<=d){

               pairs.addLast(new Pair<Integer, Integer>(key,sum));

           }

 

       }

 

       return "NO";

   }

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Complete question is;

Consider a pair of integers, (a, b). The following operations can be performed on (a, b) in any order, zero or more times:

• (a, b)(a + b, b)

• (a, b) → (a, a + b)

Return a string that denotes whether or not (a, b) can be converted to to (c,d) by by performing zero or more of the operations specified above. Example

(a, b) = (1, 1)

(c,d) = (5,2)

Perform the operation (1,1 + 1) to get (1, 2), perform the operation (1 + 2, 2) to get (3, 2), and perform the operation (3+2, 2) to get (5,2). Alternatively, the first operation could be (1+1, 1) to get (2, 1) and so on.

Complete the function is possible in the editor below. isPossible has the following parameter(s): int a: first value in (a, b) int b: second value in (a, b) int c: first value in (c,d) int d: second value in (c,d) Returns: str: Return 'Yes' if (a, b) can be converted to (c,d) by performing zero or more of the operations specified above, or 'No' if not Constraints • 1 sa,b,c,ds 1000

If a line is tangent to a circle, then it is ___________ to the radius drawn to the point of tangency.

Answers

If a radius is drawn to the point of tangency of a tangent line, then the radius is basically perpendicular to the tangent line.

Given that the radius is drawn to the point of tangency of a tangent line.

We are required to fill the blank with the appropriate word.

Radius is basically the line segment which joins the center to any point on the circumference of the circle.

Tangent line is basically a line which is drawn from an outside point on the circumference of the circle.

When the radius is drawn to the point of tangency of a tangent line, then the radius is perpendicular to the tangent line.

Hence if a radius is drawn to the point of tangency of a tangent line, then the radius is perpendicular to the tangent line.

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If w is FALSE, x is TRUE, and y is FALSE, what is ((w OR Y') AND (x' AND y')) OR ((w OR y') AND (x OR Y)') ? A) TRUE B) Not enough information.C) FALSE D) NULL

Answers

After solving the logical operations it can be determined that the correct answer is C) FALSE.

What are logical operations?

Logical operations are phrases that connect expressions to test if they are true or not.

What does the complement sign mean?

The complement (') sign means that the opposite value of the variable is needed. For example if y is false, y' means true.

Let False = 0 and True = 1

= ((0 OR 0') AND (1' AND 0')) OR ((0 OR 0') AND (1 OR 0)')

= ((0 OR 1) AND (0 AND 1)) OR ((0 OR 1) AND (1)')

= (1 AND 0) OR (1 AND 0)

= 0 OR 0

= 0

Hence, the answer is C) FALSE

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give the component from the following vectors shown​

Answers

if we draw a horizontal and vertical line from the tip of the vector

v = 4 , 5

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(easy) Jinsoul had 2 apples and Chaeyoung had 3 apples. Chaeyoung suggest they share, Jinsoul agrees. Together it makes 5 apples. BUT The apple tree they picked from has 20? 5+20=?

Answers

Answer:

Step-by-step explanation:

5+ 20= 25

Because when you set them up and add them properly you get 25

(Not sure if that was the question you wanted us to answer..)

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