Volume of a rectangular prism.. PLEASE HELP

Mathematics

1 answer:

kondaur [170]3 years ago

7 0

$\text {Volume = } \dfrac{5}{2x + 8} \times \dfrac{x+4}{4} \times \dfrac{12}{x}$

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Take out (x + 4) as a common factor :
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$\text {Volume = } \dfrac{5}{2(x + 4)} \times \dfrac{x+4}{4} \times \dfrac{12}{x}$

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Cross out (x + 4) :
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$\text {Volume = } \dfrac{5}{2} \times \dfrac{1}{4} \times \dfrac{12}{x}$

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Rewrite 12 as 4 x 3 :
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$\text {Volume = } \dfrac{5}{2} \times \dfrac{1}{4} \times \dfrac{4 \times 3}{x}$

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Cross out 4 :
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$\text {Volume = } \dfrac{5}{2} \times \dfrac{ 3}{x}$

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Combine into single fraction:
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$\text {Volume = } \dfrac{15}{2x}$

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il63 [147K]

2a) if 1 ft³ weighs 150 lb==>the TOTAL VOLUME =5,000/150 =33.334 ft³

2b) 1 ft³ 1,728 in³. So the TOTAL volume in in³ =33.334 x 1728 = 57,600 in³

c) Volume =(1/3)(πR²).H but R = H then V= (1/3)(πR³).plug V (=57600)

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Semmy [17]

Answer: 0.62

Step-by-step explanation:

Given : A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige.

i.e. The sample size of U.S. adults : n= 1010

The number of U.S. adults consider the occupation of firefighter to have very great prestige : x= 627

Now , the probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige will be :

$\hat{p}=\dfrac{x}{n}\\\\=\dfrac{627}{1010}=0.620792079208\approx0.62$ [ To the nearest hundredth]