100 POINTS!! needs to be correct!

Mathematics

2 answers:

marusya05 [52]2 years ago

5 0

Answer:

Use the given formulas and replace s with its value of 5 inches.

<u>So the volume:</u>

V = s³ = 5³ = 125 in³

<u>Total surface area:</u>

A = 6s² = 6*5² = 150 in²

brilliants [131]2 years ago

5 0

Step-by-step explanation:

$volume = {a}^{3} = {5}^{3} = 5 \times 5 \times 5 = 125 {inch}^{3} \\ surface \: area = 6 {a}^{2} \\ = 6 \times {5}^{2} = 6 \times 5 \times 5 \\ = 150 {inch}^{2} \\ thank \: you$

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The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$