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lawyer [7]
3 years ago
5

Two glass containers are shown. Both are right rectangular prisms. Container 1 is filled with water and Container 2 is empty.

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

9514 1404 393

Answer:

  18 in

Step-by-step explanation:

The volume of each container is the product of its dimensions:

  V = LWH

We can let h represent the unknown height of Container 2. The volumes are equal when ...

  32·18·12 = 24·16·h

  (32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify

The missing height of Container 2 is 18 inches.

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The promising alternative energy sources currently under development are fuel cell technology and large-scale solar energy power
Mumz [18]

Answer:

Step-by-step explanation:

a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S

Write the probability of energy supplied by these energy sources in the next 10 years  

P(energy supplied) = P(S ∪ F) -----(1)

Rewrite eqn (1)

P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)

substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources

P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)

= 0.85 + 0.7 - (0.595)

= 1.55 - 0.595

= 0.955

Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955

B) write the probability of only one source of energy available

P(only one source of energy available) = P(\bar F S) ∪ P( \bar S F) ---(3)

Rewrite the equation (3)

P(only one source of energy available) =

=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)

=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36

Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36

4 0
3 years ago
What is 7.04 trillion in scientific notation​
slega [8]

Answer:

7.04 trillion = 7.04 x 10¹²

Step-by-step explanation:

4 0
3 years ago
Rose works eight hours a day for five days a week. how many hours will she work in six weeks ?
Kryger [21]
Start by multiplying 8 and 5 to get the hours worked each week.
Next multiply that by 6 to get how many hours she'll work in 6 weeks. 
7 0
3 years ago
Read 2 more answers
Mrs.Cheng has $18 deducted monthly from checking account for her gym membership. What integer represents the change in her accou
Vikki [24]
First you would have to multiply $18 (The cost for each month) and 12 (the number of months in a year) and the answer would be 216
So she deducts 216 a year, so the answer would have to be negative

The final answer is -216
4 0
3 years ago
Tom walked around his yard. His property is rectangular with a length of 20 yards and a width of 31 yards. How much fence will h
Furkat [3]

Answer:

20 x 31= 620 ft of fence

Step-by-step explanation:

3 0
3 years ago
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