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AleksAgata [21]
3 years ago
5

A manufacturing company ships its product in two different sizes of truck trailers. Each shipment is made in a trailer with dime

nsions 8 feet x 10 feet x 30 feet or 8 feet x 10 feet x 40 feet.
a) If 30% of its shipments are made by using 30-foot trailers and 70% by using 40-foot trailers. Find the mean volume shipped per trailer load?
Mathematics
1 answer:
kherson [118]3 years ago
4 0

Answer:

Mean volume shipped per trailer load = 2960 ft³

Step-by-step explanation:

Since both trailers are always full,

Total volume in one 30 feet trailer shipment = 8 × 10 × 30 = 2400 ft³

Total volume in one 40 feet trailer shipment = 8 × 10 × 40 = 3200 ft³

Assuming a basis of 10 shipments, 3 shipments are done using the 2400 ft³ trailer and 7 shipments are done using the 3200 ft³ trailer.

Mean volume shipped per trailer load = total volume shipped/number of shipments

Total volume shipped = (3 × 2400) + (7 × 3200) = 7200 + 22400 = 29600 ft³

Number of shipment in the basis used = 10

Mean volume shipped per trailer load = 29600/10 = 2960 ft³

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The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
jek_recluse [69]

Answer:

50%

Step-by-step explanation:

68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma)

95% of all values lie within the 1 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)

99.7% of all values lie within the 1 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

\mu = 55\\\sigma = 4

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma) = (55-4,55+4)= (51,59)

95% of all values lie within the 2 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)= (55-2(4),55+2(4))= (47,63)

99.7% of all values lie within the 3 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)= (55-3(4),55+3(4))= (43,67)

Refer the attached figure

P(43<x<55)=2.5%+13.5%+34%=50%

Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%

4 0
3 years ago
the population of cities A and B are 3.8 x 10^5 and 2,160,000 , respectively . the population of city C is twice the population
erma4kov [3.2K]
The answer is 4, 320, 000


explanation: the problem is asking what the population of city c is, and to do that you need to multiply city b times 2. therefore you do not need the population of city a, it is just there to confuse you
5 0
3 years ago
The width of a rectangular poster is 16 in its length is twice its width find the perimeter
Evgesh-ka [11]
Length = x
width = y

y = 16
x = 2y
x = 2(16)
x = 32

perimeter = 2x + 2y
= 2(32) + 2(16)
= 64 + 32
= 96
6 0
3 years ago
Find the median of the given data if the mean is 4.5.5,7,7,8,x,5,4,3​
timama [110]

Find the median of the given data. If the mean is 4.5...

5, 7, 7, 8,x,5,4,3 = x, 3, 4, 5, 5, 7, 7, 8

The median is 5. For the second part... The question is incomplete... “If the mean is 4.5...” Also, I have no idea if x should have been added or not. Even if it was, it doesn’t change the answer.

5 0
3 years ago
Which expression is equivalent to the given expression?<br><br> (10c6d-5)(2c-5d4)
Vlad1618 [11]

Answer:

120c²d - 1200cd² -10c + 100d

Step-by-step explanation:

We will first of all evalute inide the bracket then we expand it.

(10c6d-5)(2c-5d4)

=(60cd-5)(2c-20d)

= 60cd*2c -60cd*20d -5*2c +5*20d

= 120c²d - 1200cd² -10c + 100d

8 0
3 years ago
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