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Taya2010 [7]
2 years ago
6

A storage locker measures 8 feet wide, 12 feet deep, and 9 feet high. The monthly rental price for the locker is $3.60 per cubic

yard. How much does it cost to rent the locker each month? Use the drop-down menus to show your answer.
The volume of the locker is cubic feet, which is equivalent to cubic yards. So, the total cost to rent the locker is
Mathematics
1 answer:
serious [3.7K]2 years ago
5 0

Answer:

  • 864 ft³
  • 32 yd³
  • $115.20

Step-by-step explanation:

The volume in cubic feet is the product of the dimensions:

  V = WDH = (8 ft)(12 ft)(9 ft) = 864 ft³.

There are 27 ft² in a cubic yard, so this is ...

  (864 ft³)(1 yd³/(27 ft³)) = 32 yd³

At a cost of $3.60 per cubic yard, the cost is ...

   ($3.60/yd³)(32 yd³) = $115.20

The cost to rent the locker is $115.20 per month.

_____

If you didn't have to provide the volume in cubic feet, it would be convenient to compute it using yards as the units of measurement.

  V = WDH = (8/3 yd)(4 yd)(3 yd) = 32 yd³

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The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,00
timama [110]

Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life expectancy of the brand of tire in miles.

µ = mean

σ = standard deviation

From the information given,

µ = 40000 miles

σ = 5000 miles

The probability that a randomly selected tire will have a life of exactly 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500)/5000 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

6 0
2 years ago
Lance has three times as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?
hoa [83]
Is 47 l think !!!!!!!!!!!!!!!!!!!!!
6 0
2 years ago
A child rides a pony on a circular track whose radius is 5.25 m. a) Find the distance traveled and the displacement after the ch
AlexFokin [52]

Answer:

a) distance halfway = 16.49 [m], displacement halfway = 10.5 [m]

b) distrance traveled increases when the child completes one circuit of the track.

Step-by-step explanation:

a) Distance is a scalar quantity that tells you how much space a body has covered when moving. Displacement is a vector quantity that tells you how far from its initial position and object is after moving.

In this case, the child goes around the track only halfway from point 1 to point 2. We know the circunference or perimeter of a circle to be 2*PI*radius. We also know the child only when halfway, so we need to divide the perimeter by 2, thus we get distance = PI*radius

  • distance halfway = (PI)*(5.25) = 16.49 [m]

And now that we know the definition of displacement, we can easily see that the child went from point 1 to point 2 which is located at a distance of 1 diameter from point 1:

  • displacement halfway = D = 2*radius = 2(5.25) = 10.5 [m]

b)What happens to the distance when the child completes one circuit? The distance will increase beause he is now completing the circuit so he is covering more ground in his movement:

  • distance circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]

32.99 is more than 16.49 so we are certain that the distance increases.

3 0
2 years ago
ou have two parents, four grandparents, eight great-grandparents, and so forth. (a) If all your ancestors were distinct, what wo
Maslowich

Answer:

Part A:

2^{40}-2\\=1.0995*10^{12} ancestors

Part B:

Generations Age=25*39=975 years

Part C:

  1. Some ancestors on different branches of the family tree must be the same.
  2. There could not have been 39 generations in my line of ancestry.

Step-by-step explanation:

Given Data:

Two Parents, Four Grand Parents, Eight great Grand Parents.

Generation=39

Solution:

Part A:

From given data Following series is made:

2+2^2+2^3+.........+2^{39}

Now, Above series will become:

2[1+2+2^2+......+2^{38}]

From geometric Sequence:

2[\frac{2^{38+1}-1}{2-1} ]

2^{40}-2\\=1.0995*10^{12} ancestors

Part B:

Generations Age=years*Number of generations

Generations Age=25*39=975 years

Part C:

Number of people lived= 10^11

Ancestors=1.0995*10^{12} ancestors

10^{11}

It means ancestors are not distinct, it means:

  1. Some ancestors on different branches of the family tree must be the same.
  2. There could not have been 39 generations in my line of ancestry.
5 0
2 years ago
If Zoe orders a book from store Y how much tax will she pay?
Cerrena [4.2K]

Answer:

The amount of tax Zoe would pay if she bought a book from Store Y would be $1.44.

Step-by-step explanation:

I got this because to find the tax you need to pay, you take the percentage and move the decimal point twice to the left; in this case it would go from 8% to 0.08 because the decimal point is at the end of the number. You multiply the 0.08 by the amount the book costs, and you get the amount of tax you have to pay.

6 0
2 years ago
Read 2 more answers
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