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4 years ago

4.5, 3.25, 3.75, 3.25, 4.25, 3.5, 3.75, 4.25, 4.5, 2.5 Whats the mean?

Mathematics

1 answer:

Alchen [17]4 years ago

5 0

$\frac{4.5 + 3.25 + 3.75 + 3.25 + 4.25 + 3.50 + 3.75 + 4.25 + 4.50 + 2.50}{10} = 3.75$
So; the answer is: 3.75

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Please help me with this word problem!!!

Inessa [10]

Answer:

The number of customers needed to break even is

$\simeq 6775.$

Step-by-step explanation:

Rent per month = $ 7200

Rent per year, $ $7200 \times 12$

= $ 86400 -------------(1)

Insurance per year = $ 4200 ---------(2)

Total direct cost for 2 servers (withoout tax) per year,

= $ $2 \times 15 \times 8 \times 5 \times 50$

= $ 60000

Total cost for helper ( without tax) per year,

= $ $4 \times 15 \times 5 \times \50$

= $ 15000

Total cost for employees per year (without tax),

= $ (60000 +15000) = $ 75000

Total cost per year for employees including tax,

$ $\frac {(75000 \times (100 + 6.2 + 1.45)}{100}$

= $ $\frac {(75000 \times 107.65 }{100}$

= $ 80737.5 -----------------------(3)

So,

total cost for running the restaurant (except food)

= (1) + (2) + (3) = $ $(86400 + 4200 + 80737.5)$

= $ 171337.5

Average total profit per customer,

= ( Average per customer payment - average cost of food per customer)

= $ (45.47 - 20.18)

= $ 25.29

So, total number of customer needed to break even,

= $\frac {171337.5}{25.29}$

\simeq 6775

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3 years ago

9e-7=7e-11 Whats does E equal?

SSSSS [86.1K]

Answer:

-2

Step-by-step explanation:

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3 years ago

Read 2 more answers

Can somebody explain to me stem and leaf diagrams please?

aev [14]

They are a method for showing the frequency of a data plot in a much more compact and numerical way.

1[2 3
2[1 7
3[3 4 5 7
4[ 0 0 1

Key 1[2= 12

meaning that 3[5 is 35 and 4[0 is 40 and so and so forth

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3 years ago

Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type

Rashid [163]

Answer:

The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

Step-by-step explanation:

dy/dt = y(1/t - k)

separating the variables, we have

dy/y = (1/t - k)dt

dy/y = dt/t - kdt

integrating both sides, we have

∫dy/y = ∫dt/t - ∫kdt

㏑y = ㏑t - kt + C

㏑y - ㏑t = -kt + C

㏑(y/t) = -kt + C

taking exponents of both sides, we have

$\frac{y}{t} = e^{-kt + C} \\\frac{y}{t} = e^{-kt}e^{C} \\\frac{y}{t} = Ae^{-kt} (A = e^{C})\\y = Ate^{-kt}$

when t = 1 hour, y = 15 grams. So,

$y = Ate^{-kt}\\15 = A(1)e^{-kX1}\\15 = Ae^{-k}$ (1)

when t = 3 hours, y = 30 grams. So,

$y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k}$ (2)

dividing (2) by (1), we have

$\frac{30}{15} = \frac{3Ae^{-3k}}{Ae^{-k}} \\2 = 3e^{-2k}\\\frac{2}{3} = e^{-2k}$

taking natural logarithm of both sides, we have

-2k = ㏑(2/3)

-2k = -0.4055

k = -0.4055/-2

k = 0.203

From (1)

$A = 15e^{k} \\A = 15e^{0.203} \\A = 15 X 1.225\\A = 18.36$

Substituting A and k into y, we have

$y = 18.36te^{-0.203t}$

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

$y = 18.36(1/0.203)e^{-0.203t}\\y = \frac{18.36}{0.203}e^{-0.203X1/0.203}\\y = 90.44e^{-1}\\y = 90.44 X 0.3679\\y = 33.27 g$

So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

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