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3 years ago

Sea f(x) = 5x + 3 entonces f(6) = ?

Mathematics

1 answer:

sesenic [268]3 years ago

7 0

Answer:

f(6)=33

Step-by-step explanation:

f(6)=5(6)+3

f(6)=30+3

f(6)=33

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Find the slope and the y-intercept of the line

Rom4ik [11]

Answer:

the slope of the line is 4

m = 4

y-intercept is -8

y = 4(0) - 8 = 0 - 8 = -8

3 0

3 years ago

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

Write and equation on the line that passed through (0,-1) and is perpendicular to the line y =1/9x+2

Marat540 [252]

Answer:

y=-9x-1

Step-by-step explanation:

since it is perpendicular, the slope must be the opposite reciprocal (-9x) and now we plug the coordinates in, -1=0+b, b is -1

5 0

2 years ago

19. Subtract: 5 - 3 1/3 A. 3 1/3 B. 2 1/3 C. 1 2/3 D. 2 2/3

earnstyle [38]

Answer:

C. 1 2/3

Step-by-step explanation:

5 - 3 1/3

We can also convert 5 into a fraction with the same denominator like this:

Since we’re trying to make 5 a fraction with a denominator of 3, leave 4 as the whole number and 3/3 as the fraction

4 3/3

4 3/3 = 5 because 3/3 = 1 and 4 + 1 = 5

Now we can subtract!

4 3/3 - 3 1/3 = 1 2/3

Step 1. Subtract the whole numbers

Step 2. Subtract the numerator

Step 3. Leave the answer with the same denominator

4 0

3 years ago

A rectangular room measures 18 ft by 37 ft. How many

Lera25 [3.4K]

Step-by-step explanation:

the area of a rectangle is length × width.

in our case

37 × 18 = 666 ft²

so, we need 666 ft² of tiles.

8 0

2 years ago

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