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2 years ago

8

Find the value of

alt=" log_{8}^{512} " align="absmiddle" class="latex-formula">

1 answer:

valina [46]2 years ago

8 0

Answer: 3
Explanation: logarithm base 8 of 512 is 3

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andrew charges $18 for each lawn he mows. Suppose he mows 17 lawns per month how much money will Andrew make per month

Tpy6a [65]

$306 per month you just need to multiply 17 by 18

4 0

3 years ago

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Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as

Trava [24]

Answer:

4 / 6

Step-by-step explanation:

Fred fraction = 2/3

Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;

x / 6

Since her fraction is equal to that of fred, we have;

x / 6 = 2 / 3

x = 6 * 2 / 3 = 4

Sarah Fraction = 4 / 6

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2 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

What is the simplest form of this expression?<br> -(х – 2)(3х2 + 4х-5)

skad [1K]

Answer:

C

Step-by-step explanation:

3x^2 * -x =-3x^3

3x^2 * 2. =6x^2

4x* -x =-4x^2

4x * 2 = 8x

-5 * -x = 5x

-5 * 2 = -10

6x^2 + -4x^2 = 2x^2

8x+5x = 13 x

Ans: -3x^3 + 2x^2 + 13x -10

7 0

3 years ago

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PLEASE HELP ME UNDERSTAND! I don’t know how to find.... ML , CD, AC, UW (one explanation is ok too)

nlexa [21]

Step-by-step explanation:

So the way you do this is if it says 'Find AC' and on the angle you see different letters connect then on the lines and name the angle

More that 90°= Obtuse

90° angle= 90° angle

Less than a 90° angle= isosolines angle

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2 years ago