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olasank [31]
3 years ago
6

What is the 3rd term in the sequence?​

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

6

Step-by-step explanation:

To find the third term substitute n = 3 into the n th term formula

a(3) = \frac{3}{2}(-2)^{3-1}

      = \frac{3}{2}(-2)^{2}

      = \frac{3}{2} × 4 = 6

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A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple
tester [92]

Answer:  The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation:  We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

We are to find the probability of selecting 1 red apple and 2 yellow apples.

Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.

Therefore, the probability of event A is given by

P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

4 0
3 years ago
if two people agree to pay half of the bills each month and client a pays $488 and client b pays $294 how much is owed to client
ICE Princess25 [194]

Answer:

$ 97

Step-by-step explanation:

Total payment = A + b = 488 + 294 = 782

half of bills = 782 /2 = 391

B owe to a: 488 - 391 = 97

check: 97 + 294 = 391

3 0
3 years ago
Read 2 more answers
Bottom#4<br> Which value represents the median from the box and whisker plot attached?
Andreyy89

Answer:

Step-by-step explanation:

the median is the line inside the box which is 84

8 0
3 years ago
Arjun can type 40 words per minute.Dalia can type 55 words per minute.If Arjun and Dalia each type for 30 minutes,about how many
Citrus2011 [14]
♥ Solve:
(Arjun) 40*30=1200
(Dalia) 55*30=1650
Now subtract
1650-1200=450.
That means that Dalia will type 450 minutes more. 
Final answer: 450 

8 0
3 years ago
Read 2 more answers
Could someone help me ASAP, thanks !!
Rashid [163]

Answer:

I think this is the right answer but last two signs are incorrect

Hope this will help

6 0
3 years ago
Read 2 more answers
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