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olganol [36]
1 year ago
9

Express 5.555... in the form of a geometric series.

Mathematics
1 answer:
Evgesh-ka [11]1 year ago
4 0

5.555 = 5.1 + 0.05 + 0.005

<span>          = 5.5 + 0.05 + 0.05(.1)</span>

<span>            = 5.5 + 0.05/(1-.1)</span>

<span>            =5.5+0.05/.9</span>

<span>            =5.5 + 5/90</span>

<span>            = 5.5+1/18</span>

<span>            =55/10 + 1/18</span>

<span>            = 495/90 + 5/90</span>

<span>            =500/90</span>

<span>            = 50/9</span>

<span>            = 5 5/9</span>


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ruslelena [56]

The rational numbers who absolute value is 11 by 13 are recurring decimal fraction.

Step-by-step explanation:

The rational numbers are included in the real numbers. On the other hand, they include the integers, natural numbers. In mathematics, a rational number is any number that can be expressed as the fraction p/q of two integers, a numerator p and a non-zero denominator q.

Absolute value means non-negative number with the same magnitude as a given number. In mathematics, the absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

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11 / 13 is a recurring fraction as it's rounded value is 0.846......

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2 years ago
Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where th
nikklg [1K]
I assume you mean -x^3 + 4x + 3 
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1 year ago
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sergejj [24]

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A crime is committed by one of two suspects, A and B. Initially, there is equal evidence against both of the suspects. After fur
liberstina [14]

Answer:

a) MA conditional with C can be interpreted as A which is known and C which is unknown match

b) 10/11

c) 2/11

Step-by-step explanation:

A={A is the guilty party}

M_A = {A blood type matches that of the guilty party}

C = {B is the guilty party}

M_C = {B blood type matches that of the guilty party}

a) The chance is 10% because MA conditional with C can be interpreted as A which is known and C which is unknown match

b) the probability that A is the guilty party is given by P(A/M_A). Using bayes theorem:

P(A/M_A)=\frac{P(M_A/A)P(A)}{P(M_A/A)P(A)+P(M_C/C)P(C)} =\frac{1*1/2}{(1*1/2)+(1/10*1/2)} =\frac{10}{11}

c) the probability that B’s blood type matches that of the guilty party is given as P(M_C/M_A). Using LOTS Therefore:

P(M_C/M_A)=P(M_C/M_A,A)P(A/M_A)+P(M_C/M_A,A)P(C/M_A)=\frac{1}{10}*\frac{10}{11}  +1*\frac{1}{11}  =\frac{2}{11}

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Answer:

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