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notsponge [240]

3 years ago

6

write a two step problem that you can solve using the strategy draw a diagram.explain how can use the strategy to find the solut

ion

1 answer:

nevsk [136]3 years ago

3 0

F(x)=2x+1
you can use a table of values for a diagram and graph the line

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The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that

wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

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

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda$ 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:

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

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

In all 3 cases, we want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = 1 - e^{-5\lambda}$

(a) lambda=.5

$P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821$

(b) lambda=0.9

$P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111$

(c) lambda=1.1

$P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

7 0

4 years ago

Estimate the solution of the equation x - 8.1=5.3 to the nearest whole number

lord [1]

2 or 3 I would say... hope that helps : )

3 0

3 years ago

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Which is equivalent to (3 + 2i)(5 + i)?

zepelin [54]

(3 + 2i)(5 + i)
15 + 3i + 10i + 2i^2
15 + 13i - 2
13 + 13i

5 0

3 years ago

Boxes that are 12 inches tall are being stacked next toboxes that are 18 inches tall. What is the shortest height in which the t

ycow [4]

36 inches because 12,24,36 and 18,36, 36=36

6 0

3 years ago

Suppose that a child in France pays five euros to visit the zoo. Five euros is the same as $6.80 in the U.S. In France, an adult

GarryVolchara [31]

6.8/5 = 1.36
1.36 x 8 = 10.88
This means that the cost of an adult is $10.88

3 0

3 years ago

Read 2 more answers