Please help 100 points

Answer:

the  price sold per kg to earn a profit of 20% is 7.2 kg

Step-by-step explanation:

The computation of the price sold per kg to earn a profit of 20% is shown below:

But before that the normal price per kg is

= 5.4  per kg × 100 ÷ 90

= 6 per kg

Now for 20% profit, the price per kg is

= 6 × (1 + 0.20)

= 6 + 1.2

= 7.2 kg

hence, the  price sold per kg to earn a profit of 20% is 7.2 kg

Answer:

answer a because -15/8 is -1.875

Fro the one to one functions g and h defined, the value of :

g⁻¹(6) = 2

h⁻¹(x) = 7x + 8

(h⁻¹ o h)(1) = 1

Given one to one functions h and g.

We have that,

g(2) = 6

So, g⁻¹(6) = 2

We have,

y = (x - 8) / 7

Switch x and y.

x = (y - 8) / 7

7x = y - 8

y = 7x + 8

So, h⁻¹(x) = 7x + 8

(h⁻¹ o h) (x) = h⁻¹ (h(x))

                  = h⁻¹ ((x - 8) / 7)

                  = 7 ((x - 8) / 7)) + 8

                  = x - 8 + 8

                  = x

(h⁻¹ o h) (1) = 1

Hence the functions are found.

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Complete Question

Leicester City Fanstore (LCF) will be selling the "new season jersey" for the 2018-2019 season. The regular price of the jersey is $80. Each jersey costs $40. Leftover jerseys will be sold at the end of the season (or later) at $30. Since jerseys are produced in China and lead time is long, Puma wants LCF to decide the quantity right now (December 2017).

a. After some analysis using historic data, LCF expects that the demand will follow a Normal distribution with a mean 40,000 and a standard deviation of 8,000 due to uncertainty in team performance. How many jerseys should LCF order?

b. If a customer cannot buy the jersey from LCF (in the case of a stock-out), they may leave the store disappointed and use other channels (such as Puma stores or puma.com) in future. LCF thinks that the lost customer goodwill is around $10. Should LCF change their decision in part (a)? If yes, please state the number of jerseys LCF should order.

c. Please state whether the following statement is always true, and give a brief explanation. If \(C_o =C_i\), the news vendor solution is the mean.

Answer:

a

   \(N = 46728\)

b

  \(n = 47728\)

c

  Yes it is always true  

Step-by-step explanation:

From the question we are told that

   The regular price of the jersey is  \(P_r = \$ 80\)

    The cost of producing a jersey is \(C= \$ 40\)

  The left-over price of the jersey is \(P_o = $ 30\)

   The mean is  \(\mu = 40000\)

   The standard deviation is \(\sigma = 8000\)

   The cost of lost customer goodwill is \(C_g = \$ 10\)

Generally the fund that LCF will loss for one jersey if they order for too many  jersey (i.e more than they need )is mathematically represented  

           \(C_o = P_o - C\)

=>        \(C_o = 40 - 30\)

=>        \(C_o = \$ 10\)

Generally the fund that LCF will loss for one jersey if they order lesser amount  jersey (i.e less than they need )is mathematically represented  

           \(C_i = P_r - C\)

=>        \(C_i = 80 - 40\)

=>        \(C_i = \$ 40\)

Generally the critical ratio is mathematically represented as

             \(Z = \frac{C_i }{ C_i + C_o}\)

=>           \(Z = \frac{40}{ 40 + 10}\)

=>           \(Z = 0.8\)

Generally the critical value of  \(Z = 0.8\) to the right of the normal curve is

         \(z = 0.841\)

Generally the optimal quantity of jersey to order is mathematically represented as

             \(N = \mu * [z * \sigma]\)

=>          \(N = 40000 * [0.841 * 8000]\)

=>          \(N = 46728\)

Considering question b

  Generally considering the factor of customer goodwill  the fund that LCF will loss for one jersey if they order lesser amount  jersey (i.e less than they need )is mathematically represented  as

           \(C_k = C_i + C_g\)

=>        \(C_k = 40 + 10\)

=>        \(C_k = \$ 50\)

Now   the critical ratio is mathematically represented as

             \(Z = \frac{C_k }{ C_k + C_o}\)

=>           \(Z = \frac{50}{ 50 + 10}\)

=>           \(Z = 0.833\)

Generally the critical value of  \(Z = 0.833\) to the right of the normal curve is

         \(z = 0.966\)

Generally the optimal quantity of jersey to order is mathematically represented as

             \(n = \mu * [z * \sigma]\)

=>          \(n = 40000 * [0.966 * 8000]\)

=>          \(n = 47728\)

Considering question c

    When \(C_o =C_i\) then

The critical ratio is mathematically represented as

             \(Z = \frac{C_k }{ C_k + C_k}\)

=>           \(Z = \frac{1}{ 2}\)

=>           \(Z = 0.5\)          

Generally the critical value of  \(Z = 0.5\) to the right of the normal curve is

         \(z = 0\)

So

The optimal quantity of jersey to order is mathematically represented as

             \(n = \mu * [z * \sigma]\)

=>          \(n = 40000 * [0* 8000]\)

=>          \(n = 40000 = \mu\)

Hence the statement in c is true        

so, the minimum value of d that guarantees effectiveness is 11.08 mg.

This is a problem involving geometric series and exponential decay. Here are the steps to solve it:

(a) Let An be the amount of medicine in the patient's body immediately after taking the nth dose. Then:

A1 = d (the first dose)

A2 = d + d * (1/16) (the second dose plus the remaining amount of the first dose after 24 hours)

A3 = d + d * (1/16) + d * \((1/16)^2\) (the third dose plus the remaining amounts of the previous doses after 24 hours)

In general, An = d + d * (1/16) + d *  \((1/16)^2\) + ... + d * \((1/16)^(n-1)\), which is a finite geometric series with n terms, first term d and common ratio 1/16.

(b) To find an explicit formula for An, we can use the geometric series partial sum formula:

\(An = d * [(1 - (1/16)^n) / (1 - 1/16)]\)

Simplifying, we get:

\(An = 15.9375 * [1 - (1/16)^n]\)

(c) Let Bn be the amount of medicine in the patient's body immediately before taking the nth dose. Then:

B1 = 0 (there is no medicine in the body before taking the first dose)

B2 = d * (1/16) (the remaining amount of the first dose after 24 hours)

\(B3 = d * (1/16) + d * (1/16)^2\) (the remaining amounts of the first and second doses after 24 hours)

In general, \(Bn = d * (1/16) + d * (1/16)^2 + ... + d * (1/16)^(n-1)\), which is also a finite geometric series with n-1 terms, first term d * (1/16) and common ratio 1/16.

(d) To find an explicit formula for Bn, we can use the geometric series partial sum formula again:

\(Bn = d * (1/16) * [(1 - (1/16)^(n-1)) / (1 - 1/16)]\)

Simplifying, we get:

\(Bn = 0.9375 * [1 - (1/16)^n]\)

(e) We need at least 10 mg of the medicine in the patient's blood for it to be effective. This means that Bn must be greater than or equal to 10 for all n. Solving for d, we get:

\(0.9375 * [1 - (1/16)^n] > = 10[1 - (1/16)^n] > = 10.6667(1/16)^n < = 0.0937\)

Taking logarithms on both sides, we get:

n * ln(1/16) <= ln(0.0937)

Since ln(1/16) is negative, we reverse the inequality sign:

n >= ln(0.0937) / ln(1/16)

n >= 2.44

This means that after taking at least three doses, the medicine will remain effective in the long run. To find the minimum value of d that satisfies this condition, we plug in n = 3 into Bn and set it equal to 10:

\(0.9375 * [1 - (1/16)^3] = 10\)

d = 10 / [0.9375 * (0.99609)]

d ≈ 11.08

Therefore, the minimum value of d that guarantees effectiveness is 11.08 mg.

(f) The medicine is toxic if 100 mg or more is ever in their blood. This means that An must be less than 100 for all n. Solving for d, we get:

\(15.9375 * [1 - (1/16)^n] < 100[1 - (1/16)^n] < 6.2705(1/16)^n > 0.1595\)

Taking logarithms on both sides, we get:

n * ln(1/16) > ln(0.1595)

Since ln(1/16) is negative, we reverse the inequality sign:

n < ln(0.1595) / ln(1/16)

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Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

Answer:

7.65

Step-by-step explanation:

26.01/3.4=7.65

Hope you could understand.

If you have any query, feel free to ask.

Answer:

11/8

Step-by-step explanation:

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: \(H_0: \mu = 48500\)

Alternate hypothesis :\(H_a : \mu \neq 48500\)

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

\(Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42\)

Refer the z table

p value = 0.00776

\(\alpha = 0.01\)

p value < \(\alpha\)

So, We are failed to accept null hypothesis

Hence The claim is rejected

Answer:

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

. \(7 \geq b + (-2) \\7+2 \geq b\\\\9 \geq b\\\\b\leq 9\)

choice a

isolate b ( leave b by itself)

to do that, add 2 to the 7.

Answer:

B) Permutation.

The area of the rectangle is 10x² - 13x - 3.

It should be noted that the area of a rectangle is the length multiplied by the width.

Here, the dimensions of a rectangle are 2x-3 and 5x+1.

The area will be:

= (2x - 3)(5x + 1)

= 10x² + 2x - 15x - 3

= 10x² - 13x - 3

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Answer:

$300

Step-by-step explanation:

Let \(x\) be the original price.

\(x \times (1-0.04)=288\)

\(0.96x=288\)

\(x=\frac{288}{0.96}\)

\(x=300\)

Answer:

$300

Step-by-step explanation:

If it was a 4% reduction then we get:

\(x*0.96=288\\\)

Divide both sides by 0.96

\(x=300\)

The original suit price was $300

Step-by-step explanation:

nice

question

dear

The solution of y are 1.82 and -0.22

The general expression for quadratic equation is given as :

                  ax² + bx + c = 0

The quadratic formula of the above equation is given as

              x = -b ± √b²-4ac / 2a

According to the question we have been the expression as

          5y² - 8y = 2

Converting it into general expression we get

         5y² - 8y - 2 = 0

Putting the required value in above quadratic formula we get

    y = -(-8) ± √(8)² - 4*5*(-2) / 2*5

    y = 8 ± √64 + 40 / 10

    y = 8 ± √104 / 10

    y = (8 ± 10.2)/10

y = 8 + 10.2 / 10       and    y = 8-10.2 / 10

y = 18.2 / 10              and    y = -2.2/10

y = 1.82               and   y = -0.22

Hence the solution of y are 1.82 and -0.22

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Answer:

A)  A student entering a doctoral program in educational psychology is required to select two courses from the list of courses provided as part of his or her program.

The courses were not listed, but let's assume the courses are:

EPR 646,

EPR 602

EPR 679

EPR 622

EPR 684

In this case, we can see there are 5 possible courses.

Selecting them:

\(^5C_2 = \frac{5*4*3*2*1}{2*(5-2)!} = 10\)

Therefore, there are 10 selections.

All possible two course selections:

(622,602); (622, 684); (622, 679);  (622, 646); (646, 602); (646, 679)

(646,684);  (602, 684); (602, 679);

(679, 684)

b) Likelihood that EPR 646 and EPR 679 will be selected

From the data abeve, EPR 646 and EPR 679 can be selected just once.

Therefore, the likelihood =

P(selecting EPR 646 and EPR 679) = \(\frac{num. of . times. event. occured}{total. number. of. outcome} =\frac{1}{10}\)

Likelihood that EPR 646 and EPR 679 will be selected is \(\frac{1}{10}\) = 0.1

Answer:A student entering a doctoral program in educational psychology is required to select courses from the list of courses provided as part of his or her program.

​(a) List all possible ​-course selections.

​(b) Comment on the likelihood that will be selected

Step-by-step explanation:

Answer:

Step-by-step explanation:

divide by R

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

The probability that a student chosen at random from Jared's class does not own a trampoline is 5/12.

The probability that the student does not own a trampoline is equal to the number of students who do not own a trampoline divided by the total number of students in the class.

The number of students who do not own a trampoline is equal to the total number of students in the class minus the number of students who own a trampoline:

24 - 14 = 10

Therefore, the probability that a student chosen at random from Jared's class does not own a trampoline is:

P(not owning a trampoline) = 10/24

Simplifying the fraction,

P(not owning a trampoline) = 5/12

Therefore, the probability that a student chosen at random from Jared's class does not own a trampoline is 5/12.

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Edwin needs to sell 44,625 jars of jam to break even.

To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:

Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)

Given information:

Selling Price per Unit (SP) = $1.90

Variable Cost per Unit (VC) = $1.10

Fixed Expenses = $35,700.00 per year

Plugging in the values into the formula:

Breakeven Point = $35,700 / ($1.90 - $1.10)

Breakeven Point = $35,700 / $0.80

Breakeven Point = 44,625 jars

Therefore, Edwin needs to sell 44,625 jars of jam to break even.

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Answer:

0.77 M

Step-by-step explanation:

I'm going to assume this is a half-circle

Formula:

A = (πr^2)/ 2

D = 1.4

r = 0.7

A = (π 0.7^2)/2

A = (0.49π)/2

A = 0.7693

A = 0.77

Answer:

-4, -3

Step-by-step explanation:

I just use desmos put in the equations separately then pick the dot of intersection to get your coordinate or the system solved

9514 1404 393

Answer:

  B

Step-by-step explanation:

To find the graph of the inverse function, swap the labels x and y on the axes of the given graph.

There are no x-values common to all the tables, but you can make a determination of the correct one by looking at x=1 and x=-1.

After you swap the axis labels you see that the points ...

  (x, y) = (1, -2) or (-1, -3)

are on the graph. These points are only found in the table of selection B.

The table contains points from the inverse of the graphed function is B. Table 2.

A graph simply means a diagram that represents the variation of a variable when being compared with other variables.

In this case, the inverse of the graphed function will simply be done by switching all the values of x and y in each point. This is clearly illustrated in the second table.

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Answer:

Eve is 46 and her son is 23

Step-by-step explanation:

let x be the son's age then Eve is 2x. the difference in their ages is 23 , so

2x - x = 23 , that is

x = 23

then

Eve = 2 × 23 = 46 years

son = 23 years

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

Step-by-step explanation:

2 steps

     3.7 = x +(-5) , add 5 to both sides

3.7+ 5 = x + (-5) +5

    8.7 = x , combine like terms

or 1 step

  3.7 = x +(-5), add 5 to both sides and combine like terms

  8.7 = x