Let L, H, W be the length, height, and width.
Using the 3 clues they gave us, we have:
L x W = 12
L x H = 8
W x H = 6
Our goal is to figure out volume: L x W x H
One way of solving this is to just randomly plug in numbers which should be easy to do for this problem.
Another way is to use substitution.
From first equation: L = 12/W
Plug that into second equation:
12/W x H = 8,
H = (8/12)W = (2/3)W
Plug that into the third equation:
W x (2/3)W = 6,
W x W = 9
W must be equal to 3.
And since we know that L x H = 8
Then L x H x W = (8) x 3 = 24 cm^3
Answer:
The probability that all 15 will get the type of book they want from current stock is 0.4838.
Step-by-step explanation:
Denote the random variable <em>X</em> as the number of students who want to buy new copy.
The probability of a student wanting to buy a new copy is, P (X) = <em>p</em> = 0.30.
A random sample of <em>n</em> = 15 students is selected.
The random variable <em>X</em> follows a Binomial distribution.
The probability function of a Binomial distribution is:

It is provided that the bookstore has 10 new copies and 10 used copies in stock.
All the 15 students get their desired copy, then this can happen if at most 10 want to buy new copy and at least 5 wants to buy used copy.
Compute the probability of (5 ≤ <em>X</em> ≤ 10) as follows:
P (5 ≤ <em>X</em> ≤ 10) = P (X = 5) + P (X = 6) + P (X = 7) + P (X = 8) + P (X = 9) + P (X = 10)

Thus, the probability that all 15 will get the type of book they want from current stock is 0.4838.
Answer:
3
Step-by-step explanation:
7 1/2 ÷ 2 1/2
=15/2 ÷ 5/2
=15/2 ×2/5
=3
Answer:
12.42 + 3.6 = 16.02
1.81 + 19.25 = 21.06
-3.5 + 85.95 = 82.45
-75.23 + (-21.8) = -97.03
123.49 + (-6.02) = 117.47
Hope this helps.
<h3>

</h3>
Simplify both sides of the inequality.

Subtract 3x from both sides.
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</h3><h3>

</h3>
Subtract 6 from both sides.
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</h3>

<h2>There are no solutions.</h2><h3>Standard form: x ∈ ∅</h3>