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elena-s [515]
2 years ago
8

A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other leng

ths are in the ratio of 2 units : 3 units.
Mathematics
1 answer:
aalyn [17]2 years ago
8 0
a,b,c-\ sides\ of\ triangle\\\\a+b+c=18\ inches\\\\a=8inch\\\\\frac{b}{c}=\frac{2}{3}\\\\3b=2c\ \ --->b=\frac{2c}{3}\\\\8+\frac{2c}{3}+c=18\ |*3\\\\24+2c+3c=54\\\\5c=54-24\\\\5c=30\\\\c=\frac{30}{5}=6\\\\Length\ of\ shorter\ side\ is\ equal\ to\ 6\ inches.
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Answer:

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Step-by-step explanation:

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3 years ago
Suppose the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months. W
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Answer:

Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

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where, \mu = population mean = 60 months

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Probability that the calculator works properly for 74 months or more is given by = P(X \geq 74 months)

     P(X \geq 74) = P( \frac{ X - \mu}{\sigma} \geq \frac{74-60}{8} ) = P(Z \geq 1.75) = 1 - P(Z < 1.75)

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Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

7 0
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