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Elodia [21]
3 years ago
5

Which equation has a constant of proportionality equal to 4?​

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0
That would be 3 if you was to look up that times table chart
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A damsel is in distress and is being
Katen [24]

Answer:

30 feet

Step-by-step explanation:

Let x be the length of the ladder. Then, x cos(60) = 15

If we divide both sides by cos(60), then x = 30 feet.

6 0
2 years ago
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Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0
2 years ago
What improper fraction or mixed number is 30/20 in simplest form
True [87]
30/20= 1 and 10/20 in simplest form that is 1 and 1/2
3 0
3 years ago
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Find the value of x.
sveticcg [70]

If 98 - 32 = 66,

then x = 66°

7 0
2 years ago
A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 4 mo
Alla [95]

Answer:14

Step-by-step explanation:

13+5-4=14 No 1 more person got on.

4 0
3 years ago
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