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ValentinkaMS [17]
3 years ago
14

A rectangular prism is completely packed with 180 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which

of the following describes the volume of this rectangular prism?
Mathematics
1 answer:
dexar [7]3 years ago
3 0

1/3 * 1/3 * 1/3 = 1/27

the volume of the small cubes is 1/27.

there are 180 of them, so multiply.

180 * 1 180 2

---------- = ------ = 6 ---

27 27 3

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Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these
earnstyle [38]

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}

Black-Blue:

14 out of 20, then 3 out of 12. So

P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

6 0
3 years ago
1•2•3•.....•2015.please help
Lera25 [3.4K]
That is 2015! or 2015 factorial
that is big
not sure if a joke but the answer is (see attachment)
or about 1.15369522906899370...*10⁵⁷⁸⁶ in scientific notation
Download pdf
7 0
4 years ago
Simplify the following expression. <br>7^-5/6.7^-7/6. <br>1/49<br>1/14<br>14<br>49
Serggg [28]

{7}^{  - \frac{5}{6} }  \times  {7}^{ -  \frac{7}{6} }  \\  =  {7}^{ -  \frac{5}{6} -  \frac{7}{6}  }  \\  =  {7}^{  -  \frac{12}{6} }  \\  = {7}^{ - 2}  \\  =  \frac{1}{ {7}^{2} } \\  =  \frac{1}{49}
The answer is 1/49
4 0
3 years ago
PLEASE SOMEONE HELP ME ASAP!!!!!ANYONE PLEASE!!!!
Natasha2012 [34]
Answer: B.$43.95


Explanation: 15% of $293 is $43.95
6 0
3 years ago
Read 2 more answers
Please help me :)))))
svetoff [14.1K]
Part a)

Answer: 5*sqrt(2pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi

Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"

============================================================

Part b)

Answer: 3*sqrt(3pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi

Note: the same issue comes up as before in part a)

============================================================

Part c)

Answer: sqrt(19pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
8 0
3 years ago
Read 2 more answers
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