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Lena [83]
2 years ago
10

A fast food restaurant processes on average 5000 pounds of hamburger per week. The observed inventory level of raw meat, over a

long period of time, averages 2500 pounds. What is the average time spent by a pound of meat in production (in weeks)
Mathematics
1 answer:
elixir [45]2 years ago
6 0

Answer:

0.5 week

Step-by-step explanation:

The time spent by a pound of meat in this system is given by the average number of pounds of meat on inventory (2500 pounds) divided by the average weekly meat consumption (5000 pounds per week).

The time, in weeks, is:

t=\frac{2500\ pounds}{5000\ pounds/week} \\t= 0.5\ week

The average time spent by a pound of meat in production is 0.5 week.

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Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10
AnnyKZ [126]

Answer:

a)P=0.42

b) n\geq 297

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}

a) we have k=2, n=10 and p=0.01:

P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42

b) We have, 1-(1-p)^n=P, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297

4 0
2 years ago
Describe one difference between rewriting a literal equation and solving an equation in one variable.
sesenic [268]

Literal equation:

we know that

literal equation is equation of more one variable

for example: 2x+3y=1

And we can solve such equations only if we are given two such equation

because it has two variables

One variable equation:

such equation has single variables

for example:

3x=21

we don't need any other equation

we can solve for variables from single equation itself

because it has only one variable that is x

3 0
3 years ago
Given parallelogram MNOP, MA = x + 5, AO = y + 2, PA = 3x and AN = 2y
erma4kov [3.2K]

Answer:

The values of x and y are x = 6 and y = 9

Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

  • Bisect each other
  • Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

4 0
3 years ago
A utility (such as a power company) which controls all services in a designated area is called a
mario62 [17]
These are the choices I found on the internet:
<span>A) trust.
B) cartel.
C) natural monopoly.
D) devised oligopoly.

The best answer would be letter C - natural monopoly. </span>This is a situation where one firm can supply a market's entire demand (because of a unique raw material, technology, or other factors) for a good or service at a value lower than two or more firms.
7 0
2 years ago
Read 2 more answers
2TL
Ede4ka [16]

Answer:

(2x^3+4x^2-4x+6) / (x+3) = 2x^2-2x+2  => B

Step-by-step explanation:

7 0
2 years ago
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