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3 years ago

Is 5/3 a terminal or repeating decimal

Mathematics

2 answers:

gregori [183]3 years ago

6 0

5/3 = 1.66666....

Repeating decimal.

vovangra [49]3 years ago

3 0

It's A Repeated Decimal 1.66666666666666666667

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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

3 years ago

Joe went shopping and purchased a pair of pants for $56 and a pair of shoes for $45. The tax in Joe's city is 4%. How much will

Nimfa-mama [501]

Answer:

$105.04

Step-by-step explanation:

First add $56 plus 45$ and you will get $101, then times $101 and 1.04 together.

Your answer should be $105.04.

6 0

1 year ago

Please help me out please

Oxana [17]

In any trapezoid, the area is given by

$A = \dfrac{(B+b)h}{2}$

where B and b are the two bases, and h is the height. You're given all these elements already, so you only need to plug the values in:

$A = \dfrac{(3+11)\cdot 8}{2} = \dfrac{14\cdot 8}{2} = 7\cdot 8 = 56$

7 0

3 years ago

The product of 3 and z?

larisa [96]

3z because the product means multiplication so it would be 3 times z which is just 3z

3 0

3 years ago

Read 2 more answers

Find the height of the tree.

jenyasd209 [6]

Answer:

22.27

Step-by-step explanation:

tan(35) = opp/adj

tan(35) = x/47

47tan(35) = x

x = 22.27

not sure of the units

6 0

2 years ago