Help quick!! Very confused, create equivalent expression.

Answer: 51/100

Step-by-step explanation:

I'm assuming that the numerator is supposed to be a whole number, because there is an infinite number of answers if it is not a whole number. 5/10 can be rewritten as 50/100 by multiplying the numerator and denominator by 10. The only fraction with a whole number numerator between 50/100 and 52/100 is 51/100.  Hope this helped!

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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Answer:

$368 per week

Step-by-step explanation:

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

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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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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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.

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

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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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:

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

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

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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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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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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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..)

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:

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

The correct option is (d).

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:

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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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.

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))

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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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.

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

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:

¡Hope this helped!

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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The number of the adult will be 77

The number of the child will be 160.

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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Answer:

4k because is right is the best answer

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

Step-by-step explanation:

How to find the mean of the probability distribution: Steps

Step 1: Convert all the percentages to decimal probabilities. For example: ...

Step 2: Construct a probability distribution table. ...

Step 3: Multiply the values in each column. ...

Step 4: Add the results from step 3 together.

Step-by-step explanation:

1 , 14x=-6+21

14x=15 , divide both sides by q4 to get the value of x

x=15/14

2 , x1=x

-x=9-12

-x=-3 , divide both side by -1

x=3

3, 13x=6_61

13x= 55 , divide both sides by 13

x=55/13

4, 1-2x+81=1+81_2x

82_2x=0

-2x=-82 , divide both sides by -2

x=41

So, all of them have a solution

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

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

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

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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