2x^4y^5(3x^5y^7z^3) = 6x^9 y^12 z³ is your answer
hope this helps
The answer is number 3 only the first one is an identity most definite
Answer: the arithmetic sequence is
3, 10, 17, 24
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference. This means that the difference between the first term and the second term must equal the difference between the second term and the third term.
Considering the following sequences,
1) 4 - 1 = 3
9 - 4 = 5
There is no common difference and so, it is not an arithmetic sequence.
2) 10 - 3 = 7
17 - 10 = 7
The common difference is 7. So it is an arithmetic sequence.
3) 6 - - 5 = 11
10 - 6 = 4
There is no common difference and so, it is not an arithmetic sequence.
4) 2 - 1 = 1
4 - 2 = 2
There is no common difference and so, it is not an arithmetic sequence.
Answer:
P (x>5) = 0.5324014=0.523
Step-by-step explanation:
Here success = p= 0.7 and failure = q= 1-p= 1-0.7 = 0.3
Number of surgeries= n= 8
Applying the binomial distribution
( p+q) ^n= nC x p^x . q^n-x
More than 5 means 6,7, and 8
( p+q) ^8= 8C 5 (0.7)^5 . (0.3)^3
=56* 0.16807*0.027
= 0.254121
( p+q) ^8= 8C 6 (0.7)^6 . (0.3)^2
= 28* 0.1177* 0.09
= 0.296604
( p+q) ^8= 8C 7 (0.7)^7 . (0.3)^1
= 8* 0.0824* 0.3
= 0.19776
( p+q) ^8= 8C8 (0.7)^8 . (0.3)^0
= 1* 0.05765* 1
=0.05765
Adding the above all probabilities gives
P (x>5) = P (x=6) + P(x=7) + P(x=8)
= 0.296604+0.19776+0.05765
= 0.5324014
Find the perimeter of the painting because that's what the frame will be:
2(5)+2(6)=P
10+12=P
22=P
Multiply 22 by 5 because the painting has a perimeter of 22 feet and each one foot will cost 5 dollars
22*5=110
The frame would cost $110