Answer:
105th term of given series is

Step-by-step explanation:
Given series is

As we can see,

Also,

hence, we can say given series is in arithmetic progression,
with common difference,

As given in question the nth term in A.P is given by

since we have to find the 105th term, so we can write



Hence, the 105th term of given series of A.P is
.
Answer:
1. 9x^2-24xy16y^2
2.
3.9y^2-246y+1681
4. 18x^2+54x-44
Step-by-step explanation:
1. (3x)^2-2*3x*4y+(4y)^2
9x^2-2*3x4y+(4y)^2
9x^2-24xy+(4y)^2
9x^2-24xy+16y^2
Ans: 9x^2-24xy+16y^2 the (*) are times
2. 912+31-20=923
ANS: 13*71
3. 1681-246y+9y^2
9y^2-246y+1681
ANS : 9y^2-246y+1681
4. 3x*(9*2+6x+4)-2(9*2+6x+4)
54x+18^2+12x-2(9*2+6x+4)
54x+18x^2+12x-36-12x-8
54x+18^2+12x-36-12x-8
54x+18x^2-36-8
18x^2+54x-36-8
18x^2+54x-44
Ans: 18x^2+54x-44
5. 3x*3x-3x*4+5*3x-5*4
9x^2-3x*4+5*3x-5*4
9x^2-12x+5*3x-5*4
9x^2-12x+15x-5*4
9x^2-12x+15x-20
ANS: 9x^2+3x-20
6. (31+2)(912-61+4)=28215
ANS : 3^3*5*11*19
7. 9.12-2414+1672
912/100-2414+1672
2^4*3*19/2^2*5^2 -2414+1672
2^4-2*3*19/5^2 -2414+1672
2^2*3*19/5^2 -742
(2^2*3*19)-5^2)742/5^2
(4*3*19)-25*742/5^2
228-18550/5^2
18322/5^2
8. 2713-8
2705
ANS: 5*541
Composite numbers are numbers that have more than 2 factors. With that being said, your answer would be 2.
4 is a composite number: 1, 2, 4
6 is a composite number: 1, 2, 3, 6
8 is a composite number: 1, 2, 4, 8
2 is a prime number: 1 and 2
2 is a prime number, not a composite number.
Answer:
95% Confidence interval: (0.8449,0.9951)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 50
Number of times the dog is right, x = 46
95% Confidence interval:
Putting the values, we get:
(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.