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Lapatulllka [165]
3 years ago
14

The surface area of a cube is 96 square inches. What is the length of an edge of the cube, in inches?

Mathematics
2 answers:
Bezzdna [24]3 years ago
7 0

Answer:

16 inches

Step-by-step explanation:

A cube has 6 sides and to find the surface area you would multiply one side by 6, or add the six sides together. So instead, to find the length of one side, you divide the surface area, 96, by 6 to get 16.

Hope this helps you :)

9966 [12]3 years ago
6 0

Answer:

Step-by-step explanation:

let x be the length of cube=x in

surface area=6 x²

6 x²=96

x²=96/6=16

x=√16=4 in

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Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f
almond37 [142]

Answer:

The probability is 0.001812

Step-by-step explanation:

Let's call: F the event in which a user is fraudulent, L the event in which a user is legitimate and A the event in which the user calls from two or more metropolitan areas.

So, the probability that the user is fraudulent given that the user call from two or more metropolitan areas is calculated as:

P(F/A) = P(F∩A)/P(A)

Where P(A) = P(F∩A) + P(L∩A)

So, P(F∩A) is the probability that the user is fraudulent and the user calls from two or more metropolitan areas. it is calculated as:

P(F∩A) = 0.0121% * 30% = 0.00363%

Because 0.0121% is the proportion of fraudulent users and 30% is the percentage of the fraudulent users that call from two or more metropolitan areas in a single day.

At the same way, P(L∩A) is the probability that a user is legitimate and the users calls from two or more metropolitan areas. It is calculated as:

P(L∩A) = (100%-0.0121%) * 2% = 1.999758%

Because (100%-0.0121%) is the proportion of legitimate users and 2% is the percentage of the legitimate users that call from two or more metropolitan areas in a single day.

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P(A) = 0.00363% + 1.999758%

P(A) = 2.003388%

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P(F/A) = 0.00363 / 2.003388

P(F/A) = 0.001812

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3 years ago
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andre [41]

Answer:

0.143059

Step-by-step explanation:

\dfrac{\sqrt{19 + 6^2}}{7.2^2} =

= \dfrac{\sqrt{55}}{51.84}

= 0.143059

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