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dezoksy [38]
3 years ago
6

Does the following infinite series converge or diverge? And does it or does it not have a sum 1/3-2/9+4/2718/81+...

Mathematics
1 answer:
Kaylis [27]3 years ago
8 0

Answer:

Diverges

Step-by-step explanation:

See Image.

You might be interested in
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi
Keith_Richards [23]

Answer:

P(X = 12) = 0.0064.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 30, p = 0.2

We want P(X = 12). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064

P(X = 12) = 0.0064.

6 0
3 years ago
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?
Leno4ka [110]

If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as

6 people - $9.75,

24 people - $x.

Or as proportion,

\dfrac{6}{24}=\dfrac{9.75}{x}.

Find x:

6\cdot x=9.75\cdot 24,\\ \\x=\dfrac{9.75\cdot 24}{6}=9.75\cdot 4=39.

Answer: It would cost $39 to serve 24 people

6 0
3 years ago
Read 2 more answers
The BlueSky Airlines has sold tickets for his plane to travel from Savannah to Atlanta. This plane carries 115 passengers. Howev
oee [108]

Answer:

it would be day 4 because if u add all of the tickets up once you get to day 5 it goes over 115

Step-by-step explanation:


8 0
3 years ago
Caroline, Krutika and Natasha share some sweets in the ratio 1:2:4. Caroline gets 14 sweets.
lisov135 [29]

Answer:

98 sweets

Step-by-step explanation:

Caroline got 14 sweets, ratio for her was 1.

Krutika had twice the bigger ratio than her, which means you have to multipy Carolines' sweets by 2. -> 14*2= 28

And do the same thing for Natasha which gives us the result of 56. 14*4= 56

And finally, you add all of those together and get 14+28+56=98.

Hope I helped! :)

5 0
3 years ago
Help me plz<br> thank u!
viktelen [127]

Answer:

x = 41

y = 65

z = 107

Step-by-step explanation:

y and 65 are vertically opposite angles. Vertically opposite angles are equal.

y = 65

74 + y + x = 180

74 + 65 + x = 180

139 + x = 180

x = 180 - 139

x = 41

z is the exterior angle, whereas 66 and x are interior angles in a triangle.

Formula : -

Exterior angle = Sum of two interior angles

z = 66 + x

  = 66 + 41

z = 107

6 0
3 years ago
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