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2 years ago

A rectangular prism have the dimensions, 3.5ft by 4ft by 5.2 ft. What is the volume of this 2

Mathematics

1 answer:

MrMuchimi2 years ago

5 0

Answer:

Step-by-step explanation:

The units are cubic feet or ft^3

V = L * W * H

L = 5.2

W = 4

H = 3.5

All dimensions are in feet.

V = 5.2 * 4 * 3.5

V = 72.8 ft^3

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A car rental company charges $11 a day and 18 cents per mile to rent their cars. If the total charge for a 2-day rental was $61.

Ne4ueva [31]

Answer:

220 miles

Step-by-step explanation:

.18m + 11d = 61.60

d = 2

.18m + 22 = 61.60

Subtract 22 from both sides

.18m = 39.60

Divide both sides by .18

m = 220

6 0

2 years ago

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:

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

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

2 years ago

Given that 18f = 33g, identify the ratio off to g in simplest form.

Kobotan [32]

Answer:

11/6

Step-by-step explanation:

18f = 33g

f/g = 33/18 = 11/6

8 0

2 years ago

Read 2 more answers

10. Both x and y vary inversely with each other. When x is 10, y is 6,which of the following is not a possible pair of correspon

elena55 [62]

9514 1404 393

Answer:

D) 45 and 1.2

Step-by-step explanation:

The "varies inversely" relationship is described by the equation ...

y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

xy = k . . . . . . multiply the above equation by x

(10)(6) = k = 60 . . . . using the given values

To check if a given pair of numbers satisfies ...

y = 60/x

you can multiply them together to see if the product is 60.

(A) 12×5 = 60

(B) 15×4 = 60

(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

8 0

2 years ago

Please solve from A thru D. Thanks

Mashutka [201]

The unkown side legnth is 9 centimeteres long all you had to do was subtract all the numbers from 44 and what your left with is the unknown side.

6 0

2 years ago