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Sholpan [36]
2 years ago
15

a town has a population of 16000 and grows at 2% every year. to the nearest tenth of a year, how long will it be until the popu

lation will reach 22900?
Mathematics
2 answers:
miss Akunina [59]2 years ago
8 0
20100 = 16000 * (1.02)^ t

20100/16000 = 1.02^t

1.25625 = 1.02^t

log 1.25625 = t * log 1.02

t = log 1.25625 / log 1.02
= 11.5
WITCHER [35]2 years ago
8 0

Answer:

18.1

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is 21 21
ankoles [38]

Answer:

Step-by-step explanation:

We know that between 1 to 10 there are 5 even and 5 odd numbers.

We could get 4 even cards , 4 odd cards or 2 odd and 2 even cards

Let´s check all this combinations

Case 1: When all 4 numbers are even:  

We are going to take 4 of the 5 even numbers in the box so we have

5C4=5

Case 2: When all 4 numbers are odd:  

We are going to take 4 of the 5 odd numbers in the box, so we have

5C4=5

Case 3: When 2 are even and 2 are odd:

We are giong to take 2 from 5 even and odd cards in the box so we have

 

5C2 * 5C2

Remember that we obtain the probability from

\frac{Number-of-favourable-Outcome}{Total-number-of-outcomes}

So we have the number of favourable outcomes but we need the Total cases for drawing four cards, so we have that:  

We are taking 4 of the 10 cards:

10C_4=210

Hence we have that the probability that their sum is even

\frac{5+5+100}{210}=\frac{11}{21}

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