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Pepsi [2]
2 years ago
9

Write the repeating decimal 0.63333 as afraction

Mathematics
1 answer:
sergeinik [125]2 years ago
5 0

Step-by-step explanation:

just count off the positions after the decimal point.

they go with decreasing negative exponents of ten.

the first position is 1/10.

the second 1/100.

the third 1/1000.

the fourth 1/10000

the fifth 1/100000

and that is how we can easily convert such decimals into fractions.

0.63333 = 63333 / 100000

or were you looking for the infinite decimal ?

that would be 1.9/3 = 19/10 / 3 = 19/30

I found this by simply suspecting that there is a division by 3 involved (due to the 3333333 repeating pattern).

so, by multiplying 0.63333 by 3 we get 1.9.

1.9 = 19/10

and then dividing by 3 gives us 19/30

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53​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
faltersainse [42]

Answer:

a

   P(X = 5) = 0.2423

b

    P( X \ge  6 )=  0.4516

c

   P( X <  4 )=  0.12694

Step-by-step explanation:

From the question we are told that

   The population proportion is   p = 0.53

    The sample size is  n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators        

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly​ five is mathematically represented as

     P(X = 5) =  ^{10}C_5 *  0.53^5 *  (1- 0.53)^{10-5}

=>  P(X = 5) =  252 * 0.04182 *  0.023

=>  P(X = 5) = 0.2423

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  at least​ six is mathematically represented as

  P( X \ge  6 )=  P( X  = 6) +  P( X  = 7) +  P( X  = 8) +  P( X  = 9) +  P( X  = 10)

=> P( X \ge  6 )=  [^{10}C_6 *  [0.53]^6 *  (1- 0.53)^{10-6}] +  [^{10}C_7 *  [0.53]^7 *  (1- 0.53)^{10-7}] +  [^{10}C_8 *  [0.53]^8 *  (1- 0.53)^{10-8}] +  [^{10}C_9 *  [0.53]^9 *  (1- 0.53)^{10-9}] + [^{10}C_{10} *  [0.53]^{10} *  (1- 0.53)^{10-10}]

=> P( X \ge  6 )=  [0.227] +  [0.1464] +  [0.0619] +  [0.0155] + [0.00082]

=> P( X \ge  6 )=  0.4516

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  less than four is mathematically represented as

    P( X <  4 )=  P( X  = 3) +  P( X  = 2) +  P( X  = 1) +  P( X  = 0)

=>  P( X <  4 )=  [^{10}C_3 *  0.53^3 *  (1- 0.53)^{10-3}] +  [^{10}C_2 *  0.53^2 *  (1- 0.53)^{10-2}] +  [^{10}C_1 *  0.53^1 *  (1- 0.53)^{10-1}] +  [^{10}C_0 *  0.53^0 *  (1- 0.53)^{10-0}]

=>  P( X <  4 )=  0.09051  +  0.03 +  0.0059 +  0.000526

=>  P( X <  4 )=  0.12694

5 0
3 years ago
How do I do this? Please explain
kicyunya [14]

Answer:

\frac{1}{16}

Step-by-step explanation:

With a negative fractional exponent place a 1 over the positive value

\frac{1}{ {8}^{ \frac{4}{3} } }

rewrite 8 as

( {2}^{3} ) ^{ \frac{4}{3} }

apply the power rule and multiply the exponents.

cancel the common factor of 3

rewrite the expression

\frac{1}{ {2}^{4} }

raise 2 to the power of 4 which =16

so the answer is

\frac{1}{16}

5 0
3 years ago
6 ÷ 1/7 equals what?
Mazyrski [523]
42 because you have to multiply the reciprocal
5 0
3 years ago
Read 2 more answers
Otis measured the heights of several sunflowers. He found that their heights were 4, 6, 7, 9, and 9 feet Otis found that the mea
lana66690 [7]

Answer:

B)  7 feet is the median (center) and 5 is the range (spread)

Step-by-step explanation:

spread is the difference between the largest and smallest numbers in the data set (9 - 4 = 5 in this case)

6 0
3 years ago
Is 5 1/ 5 to the third power equal to 5 (5 to the third power) explain
swat32

Answer:

Step-by-step explanation:

If I read this correctly...

5 1/5^3= 5.20^3=140.608

5(5)^3=625

If this isn't the correct problems, sorry. it was kind of hard to decipher the last one.

4 0
2 years ago
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