A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize revenue. Let x be the price per cola and y the price per iced tea. Demand for cola is 100 – 34x + 5y colas per game and iced tea is 50 + 3x – 16y iced teas per game The concession stand should charge: dollars per cola, dollars per iced tea, in order to maximize revenue. The maximum revenue for one game is: dollars.

Answer:

A sample size of 3 is required.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.

This means that [tex]\sigma = 3.6[/tex]

He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.

The sample size needed is of n, and n is found when M = 5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]5 = 2.054\frac{3.6}{\sqrt{n}}[/tex]

[tex]5\sqrt{n} = 2.054*3.6[/tex]

[tex]\sqrt{n} = \frac{2.054*3.6}{5}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2[/tex]

[tex]n = 2.19[/tex]

Rounding up:

A sample size of 3 is required.

Answer:

20

Step-by-step explanation:

Let father's age be x

let son's age be y

x + y = 60 - (eq 1)

Six years ago,

(x - 6) = 5(y - 6) -(eq 2)

From (1)

x = 60-y

Therefore, 60-y - 6= 5y - 30

y = 14

in six years, y = 20

Answer:

1250 miligrams.

Step-by-step explanation:

Simple conversion, 2 grams = 2000 miligrams - 750 milligrams = 1250 miligrams.

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file.

For question 1:

Forecast for December:

[tex]\to \frac{(77+75+83)}{3} \\\\ \to 78.33[/tex]

For question 2:

Forecast for December:

[tex]\to (77 \times .5+75 \times 3+83 \times .2) \\\\\to 79.40[/tex]

For question 3:

Forecast for December:

[tex]\to 72.22+(83-72.22)\times 0.2 \\\\\to 74.37[/tex]

For question 4:

So, the 3-month weighted moving average (3.58)

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{x^2 + 8x = 9}[/tex]

[tex]\large\textsf{SUBTRACT 9 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 9 - 9}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE of the EQUATION}[/tex]

[tex]\mathsf{(x - 1)(x + 9) = 0}[/tex]

[tex]\large\textsf{SET the FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x - 1 = 0 \ OR \ x + 9 = 0}[/tex]

[tex]\large\textsf{Simplify above and you have your answer to the question above (also}\\\large\textsf{known as the results for your x-values)}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 1 or x = -9}}}\huge\checkmark[/tex]

[tex]\large\textsf{But, your overall answer should be:}[/tex]

[tex]\huge\boxed{\textbf{ADD \underline{16} to both sides}}[/tex]

[tex]\large\textsf{Because, you had to break down x}\mathsf{^2}\large\textsf{ to (x + 4)(x + 4) or you could}\\\large\textsf{simply say (x + 2)}\mathsf{^2.}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

We know

To get 2ab satisfied

16 must be added on both sides to get (x+4)²

Answer:

910,000 ÷ 2,000

Step-by-step explanation:

1 ton = 2000 pounds

therefor divide pounds by 2000 to get tons

910,000 ÷ 2,000

Answer:

£80

Step-by-step explanation:

80-(10%x80)=72. hope this helps

Answer:

4444

Step-by-step explanation:

Answer:

819

Step-by-step explanation:

addinh jndenf,r fm,fd vm,fd  jngtjgntftb n

bm bm tm mt m

tmknmenmgv

etab

etbbbbbbehgeb

tbbbbbbbbbbb

Answer:tôi chưa hiểu câu hỏi của bạn

Step-by-step explanation:

Answer:

Letter C

Step-by-step explanation:

Given:

[tex]5a+18<-27[/tex]

Subtract 18 from both sides

[tex]5a<-45[/tex]

Divide 5 from both sides to get [tex]a[/tex] alone

[tex]a<-9[/tex]

Letter C is the correct answer choice because the dot is at -9, the arrow is facing to the left, and the dot is open indicating that it's not greater/less than ""or equal to"".

Hope this is helpful

Answer:

We want to graph the inequality:

3x - 2y ≤ 6

The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.

3x  ≤ 6 + 2y

3x - 6  ≤ 2y

(3/2)x  - 6/2  ≤ y

(3/2)x  - 3  ≤ y

or:

y ≥ (3/2)x  - 3

Because we have the symbol ≥

The points on the line are solutions, then the first part is to graph the line:

y = (3/2)*x - 3

Next, we have:

y equal to or larger than  (3/2)*x - 3

Then we need to shade all the region above that line.

The graph can be seen below.

Answer:

y = 5/3x - 5

Step-by-step explanation:

y = mx + b

b = y-intercept

m = slope

y = mx - 5

plug in the x-intercept

0 = m(3) - 5

5 = 3m

m = 5/3

y = 5/3x - 5

graph is below, both intercepts are on the line

Answer:

A. 32 ft

Step-by-step explanation:

Pythagoras for right-angled triangles (as that is what this is here - the floor from the base of the ladder to the wall, the wall up to where the ladder ends, and the ladder itself as the Hypotenuse).

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

so, we know,

c = 40 ft

a = 24 ft

we are looking for B

=>

40² = 24² + b²

1600 = 576 + b²

1024 = b²

b = 32 ft

Answer:

97

Step-by-step explanation:

Answer:

b. x=22

Step-by-step explanation:

3x-23=43

3x=43+23

3x=66

x=22

Volume of the sphere = 4/3πr³

905 1/7 = 4/3*22/7*r³

6336/7 = 4/3*22/7*r³

r³ = (6336*7*3)/(4*22*7)

r³ = 133056/616

r³ = 216 

r = ∛216

r = 6 cm 

So, diameter = 6*2 = 12 cm

Surface area of the sphere = 4πr²

= 4*22/7*6*6

= 3168/7

Surface area of the sphere = 452.57 sq cm

Hope it helps.

Answer:

your answer would probably be 20 bc I times 5 then times 2 then I got 10. Then I did 10 X 2 and I got 20

Answer:

She bought 7 coach tickets and 7 first class tickets.

Step-by-step explanation:

1. Set the equations up using y to represent first class and x to represent coach:

x + y = 14

370x + 1140y = 10,570

2. Use a graphing calculator to graph the equations and find the point where they intersect.  The intersection point will tell you the number bought:

Answer:

Sarah bought y = 8 first class tickets.

Step-by-step explanation:

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

330x + 1220y = 12730    (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17    (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

 Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

9 + y = 17

y = 8

Sarah bought y = 8 first class tickets.

Hope this answer helps you :)

Have a great day

Mark brainliest

9514 1404 393

Answer:

  (c)  x = 10

Step-by-step explanation:

The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.

  90 = 10x -10

  100 = 10x . . . . . add 10

  10 = x . . . . . . . . divide by 10

The value of x is 10.

Answer:

(8, 3)

Step-by-step explanation:

For a 270° rotation, the rule is that (x, y) turns into (y, -x)

In (-3, 8), -3 represents x and 8 represents y.

Our answer is then (y, -x), or (8, 3)

AA~ as both the triangles are congruent because of vertically opposite angles and alternative interior angles .

Answer:

JK and LH

Step-by-step explanation:

if u look at it, they are the smaller arcs produced compared to HJ and KL which are much bigger

Answer:

work out 8^2 and then ×1/4

[tex] \frac{1}{4} (8)^{2} = 16 \: not \: 8[/tex]

therefore

[tex] \frac{1}{4} ({8})^{2} (12) = 192[/tex]

Answer: (x+1)^2(x-5)^4(x+2)

Step-by-step explanation: 1. Cancel x  (x+1)^2(x-5)(x+2)(x-5)^3

Use The product Rule: x^a x^b= x ^a+^b and your answer should be (x+1)^2(x-5)^4(x+2)

Answer:

Ok, cool

Step-by-step explanation:

Answer:

8,889

Step-by-step explanation:

1 twig = 10 leaves

1 branch = 10 twigs = 100 leaves

1 trunk = 10 branches = 1000 leaves

1 tree = 10 trunks = 10,000 leaves

The complete tree has 10,000 leaves

The woodcutter cut off:

1 trunk = 1000 leaves

1 branch = 100 leaves

1 twig = 10 leaves

1 leaf

Total number of leaves that were cut:

1000 + 100 + 10 + 1 = 1111

Leaves left on tree:

10,000 - 1,111 = 8,889

Answer:

120

Step-by-step explanation:

formula:

[tex]\frac{n!}{(n-h)!}=\frac{6!}{(6-3)!}=120[/tex]

The number of 3 letter words formed from the word ACTION is 120.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

The given word is ACTION.

We need to form a three letter words.

Here, 6P3 = 6!/(6-3)!

= 6×5×4×3!/3!

= 6×5×4

= 120 ways

Therefore, the number of possible words formed from the word ACTION is 120.

To learn more about the permutation visit:

https://brainly.com/question/3867157.

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