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sveta
13 hours ago
12

6. A farmer needs to enclose a section of land in the shape of a parallelogram by using

Mathematics
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A mail clerk found that the total weight of 155 packages was 815 pounds. if each of the packages weighed either 3 pounds or 8 po
tester [12383]
To solve this problem, you'll need to create two equations:
x + y = 155 (total packages)
3x + 8y = 815 (total weight)
Next, multiply the first equation by 3: 3x + 3y = 465.
Then, subtract the first equation from the second to find that 5y = 350, which means y = 70. Thus, there are 70 packages that weigh 8 pounds. 
3 0
3 months ago
Read 2 more answers
Upgrading a certain software package requires installation of 68 new files. Files are installed consecutively. The installation
lawyer [12517]

Answer:

The chance of completing the entire package installation in under 12 minutes is 0.1271.

Step-by-step explanation:

We define X as a normal distribution representing the time taken in seconds to install the software. According to the Central Limit Theorem, X is approximately normal, where the mean is 15 and variance is 15, giving a standard deviation of √15 = 3.873.

To find the probability of the total installation lasting less than 12 minutes, which equals 720 seconds, each installation should average under 720/68 = 10.5882 seconds. Thus, we seek the probability that X is less than 10.5882. To do this, we will apply W, the standard deviation value of X, calculated via the formula provided.

Utilizing \phi, we reference the cumulative distribution function of the standard normal variable W, with values found in the attached file.

P(X < 10.5882) = P(\frac{X-15}{3.873} < \frac{10.5882-15}{3.873}) = P(W < -1,14)

Given the symmetry of the standard normal distribution density function, we ascertain \phi(-1.14) = 1-\phi(1.14) = 1-0.8729 = 0.1271.

Consequently, the probability that the installation process for the entire package is completed within 12 minutes is 0.1271.

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7 0
2 months ago
Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.
AnnZ [12381]
Hello! C and D aren't correct answers, as they fall downward due to gravity. The object accelerates downward at -10 m/s, resulting in an increasing speed as it descends, going beyond 10 m/s, which indicates that speed isn't steady. Hence, the correct answer is A.
5 0
2 months ago
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