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2 years ago

HELP PLEASE!!!

Mathematics

2 answers:

Marina CMI [18]2 years ago

8 0

Answer:

The maximum profit of $ 10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.

Step-by-step explanation:

Profit = Revenue - Cost

P(x) = R(x) -C(x)

= -31.72x^2 + 2,030x -( -126.96x + 26,391)

Distribute the minus sign

= -31.72x^2 + 2,030x+126.96x - 26,391

Combine like terms

= -31.72 x^2 + 2156.96 x - 26391

This is a parabola. It is facing downwards. The maximum profits is at the vertex ( where the max is)

vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34

Evaluate P(x) at x=34 to determine the profit

P(34) = -31.72 (34)^2 + 2156.96 (34) - 26391

-36668.32+73336.64-26391

10277.32

Luba_88 [7]2 years ago

5 0

Answer:

Max profit is: $10,277.32

Selling price: $951.52

Step-by-step explanation:

Profit = Revenue - Cost

Profit = (-31.72x² + 2,030x) - (-126.96x + 26,391)

Profit = -31.72x² + 2156.96x - 26391

= -31.72(x² - 68x + 34² - 34²) - 26391

= -31.72(x² - 2(34)(x) + 34²) + 31.72(34²) - 26391

= -31.72(x - 34)² + 10277.32

Max profit is: $10,277.32

When x = 34

Revenue = -31.72(34²) + 2030(34)

= 32351.68 for 34 bags

Per bag:

32351.68/34

$951.52

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2. A drawing of a sailboat was made using a rectangle and two right triangles, as shown. What

Zarrin [17]

Answer:

45 square centimeters

Step-by-step explanation:

The area of the triangle is given by ...

A = (1/2)bh

where b is the base, 2 cm + 3 cm = 5 cm, and h is the height, 6 cm.

A = (1/2)(5 cm)(6 cm) = 15 cm^2

The area of the rectangle is given by ...

A = bh

where b is the base, 12 cm, and h is the height, 2.5 cm.

A = (12 cm)(2.5 cm) = 30 cm^2

The area of the whole figure is the area of the triangle added to the area of the rectangle:

drawing area = 15 cm^2 + 30 cm^2 = 45 cm^2

0 0

2 years ago

Decimal 0.003 is 1/10 of

Grace [21]

Just multiply the 0.003 by 10 and you'll get the result. The easiest way to multiply such numbers is to move the dot one position to the right (it would be 2 positions if multiplied by 100, 3 by 1000 etc.). You can do the same with dividing, just remember to move to the left then.

So 0.03 is your answer

Hope I Helped!!!

6 0

2 years ago

(Ross 5.15) If X is a normal random variable with parameters µ " 10 and σ 2 " 36, compute (a) PpX ą 5q (b) Pp4 ă X ă 16q (c) PpX

pochemuha

Answer:

(a) 0.7967

(b) 0.6826

(d) 0.9525

(e) 0.1587

Step-by-step explanation:

The random variable X follows a Normal distribution with mean μ = 10 and variance σ² = 36.

(a)

Compute the value of P (X > 5) as follows:

$P(X>5)=P(\frac{x-\mu}{\sigma}>\frac{5-10}{\sqrt{36}})\\=P(Z>-0.833)\\=P(Z$

Thus, the value of P (X > 5) is 0.7967.

(b)

Compute the value of P (4 < X < 16) as follows:

$P(4$

Thus, the value of P (4 < X < 16) is 0.6826.

(c)

Compute the value of P (X < 8) as follows:

$P(X$

Thus, the value of P (X < 8) is 0.3707.

(d)

Compute the value of P (X < 20) as follows:

$P(X$

Thus, the value of P (X < 20) is 0.9525.

(e)

Compute the value of P (X > 16) as follows:

$P(X>16)=P(\frac{x-\mu}{\sigma}>\frac{16-10}{\sqrt{36}})\\=P(Z>1)\\=1-P(Z$

Thus, the value of P (X > 16) is 0.1587.

**Use a z-table for the probabilities.

8 0

2 years ago

A rock climber is planning to climb a mountain cliff over two days. The climb begins at an altitude of 6,400 feet above sea leve

Furkat [3]

Answer:

Step-by-step explanation:

360h+6,400 >8,020, with a solution is h> 4.

3 0

2 years ago

Kenny is thinking of two numbers greater than 10.

soldier1979 [14.2K]

Answer:

The numbers are 21 and 28

Step-by-step explanation:

Here, we want to write out the two numbers from the information in the question

Firstly, the two numbers are greater than 10

The highest common factor of both numbers is 7

While the lowest common multiple of both numbers is 84

Since 7 is a factor of both, the numbers must be multiples of 7

So let us list out the multiples of 7 greater than 10

14, 21 , 28 , 35 , 42 , 49, 56 , 63 , 70 , 77 , 84 ,

The numbers cannot be greater than 84

out of all, only the following is a multiple of 84;

14,21 , 28 , 42 and 84

The correct answers here are 21 and 28

Reason for this is that only the two satisfied the properties given

8 0

2 years ago