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hodyreva [135]
3 years ago
5

The area of the rectangular faces of the box are shown . What is the volume of the box

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0
Label the 3 distinct sides of the box.  I arbitrarily chose the letters a, b and c.
Use the info about areas as follows:

ab=54 in^2
ac=90 in^2
bc=60 in^2

Here you have 3 equations in 3 unknowns (a, b and c), which is enough info to use to determine a, b and c.  Then the volume of the box is a*b*c.

Example:  bc = 90, but c = 60/b.  You could subst. 60/b for c in the 2nd and 3rd equation, which will eliminate c completely and leave you with 2 equations in 2 unknowns.

Continuing this procedure, I determined that a=9, b=6 and c=10.  Thus, the volume of the box is V = 9*6*10 = 540 cubic inches (answer)

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A small business ships specialty homemade candies to anywhere in the world. Past records indicate that the weight of orders is n
Fantom [35]

Answer:

90% confidence interval for the true mean weight of orders is between a lower limit of 103.8645 grams and an upper limit of 116.1355 grams.

Step-by-step explanation:

Confidence interval for true mean weight is given as sample mean +/- margin of error (E)

sample mean = 110 g

sample sd = 14 g

n = 16

degree of freedom = n - 1 = 16 - 1 = 15

confidence level = 90% = 0.9

significance level = 1 - C = 1 - 0.9 = 0.1 = 10%

critical value (t) corresponding to 15 degrees of freedom and 10% significance level is 1.753

E = t × sample sd/√n = 1.753×14/√16 = 6.1355 g

Lower limit of sample mean = sample mean - E = 110 - 6.1355 = 103.8645 g

Upper limit of sample mean = sample mean + E = 110 + 6.1355 = 116.1355 g

90% confidence interval is (103.8645, 116.1355)

4 0
3 years ago
Read 2 more answers
Solve the equation n/10 + 3 = 11
tensa zangetsu [6.8K]

Answer:

n = 80

Hope this helps(:

Step-by-step explanation:

6 0
3 years ago
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The question is what is 4p - 9
OlgaM077 [116]

Answer:

4xp-9

Step-by-step explanation:

4 0
2 years ago
Does someone mind helping me with this problem? Thank you!
____ [38]

Answer:

5.20

Step-by-step explanation:

48 / 9.23 = 5.20043336945

rounded to tenth is 5.20

Hope This Helped

8 0
2 years ago
Just # 16<br><br>idk what it's "counting" by
zysi [14]
For #16, every input by +1 has an output of +7.

9 + 7 = 16
16 + 7 = 23
23 + 7 = 30.....
3 0
3 years ago
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