A rectangular prism is a polyhedron with six rectangular faces. To fully define a rectangular prism, one must know its length, width and height. The volume of a rectangular prism is expressed as the product of its dimensions - length, width and height. To calculate for its width, we use the volume formula.
V = l x w x h
From the given, we have:
l = 3w
h = 2 + w
V = 135 ft^3
Substituting the given expressions,
135 ft^3 = 3w (w) (2+w)
135 ft^3 = 6w^2 + 3w^3
Solving for w, we obtain the following values:
w1= 3
w2 = 2.5 + 2.96i
w3 = 2.5 - 22.96i
Since width should not have a negative value, the value of w should be 3 ft.
MP3 players in the shipment which are likely to be defective is 330.
Step-by-step explanation:
• Probability is event of an occurrence which is uncertain.
• Probability always lies between 0 to 1.
• The sample of 50 MP3 has 6 defective, to solve it has to be converted.
• Convert percentage in 100 multiply numerator and denominator by 2.
• Result is 6/50 converted to 12/100, bring it to 0.12%.
• 12% is defected in 100% of sample.
• It is found here that 2750 is the population and 12% of 2750.
• 2750 * 0.12 = 330, defective pieces in 2750.
• There are three types of Classical,Empirical or Experimental.
• Classical are ‘n’ number of events find the probability occurrence.
• Empirical or experimental is purely based on events.
Answer:
1. yes
2. yes
3. no
4. no
5. yes
Step-by-step explanation:
The questions you're asking relate to the Triangle Inequality Theorem, which states that the two smallest sides (ex. 6 and 13) have to be of greater value than the largest side (ex. 18)
1. 6+13>18
2. 34+27>58
3. 29+9=38 (since the value of the two smallest sides are equal, it does not apply to the Triangle Inequality Theorem, and therefore won't be a triangle)
4. 12+12<25
5. 19+14>31
Happy to help <3
Answer:
D) 30
Step-by-step explanation:
3(a + 4b)-6 = 3 ( 4 + 4*2) - 6
= 3( 4+8 ) - 6
= 3*12 - 6
= 36 - 6 =30
Answer:
The price will be Rs.152550
Step-by-step explanation: