The n-th term is given by

Then we can find the common ratio from the given terms.

The appropriate choice is -1.
Answer:
Yes
Step-by-step explanation:
Since the same value, x, is being added to both numbers they are subtracting the answer won't be changed.
178-135=43
183-140=43
180-137=43
The probability that 5 or less of the inspected firms that will result smog volation is 0.944.
Given that among 50 different industrial firms, 15 violate smog regulations and the sample size be 10.
We are required to find the probability that 5 or less of the inspected firms that will result smog violation.
Probability is basically the calculation of likeliness of happening an event among all the events possible. It lies between 0 and 1.
Probability=Number of items/ Total items.
Probability that the firm violates the regulations if 1 industry is chosen from 50 industrial firms=15/50=0.3
Probability that 5 or less of the inspected firms will result somg violations among 10 industrial firms=
=0.028+10*0.3*0.04+45*0.09*0.057+120*0.027*0.082+
210*0.0081*0.117+252*0.00243*0.16807
=0.028+0.12+0.23+0.265+0.199+0.102
=0.944
Hence the probability that 5 or less of the inspected firms that will result smog volation is 0.944.
Learn more about probability at brainly.com/question/24756209
#SPJ4
Answer:
3x−1
Step-by-step explanation:
1 Split the second term in 6{x}^{2}+x-16x
2
+x−1 into two terms.
\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}
4x
2
−1
6x
2
+3x−2x−1
2 Factor out common terms in the first two terms, then in the last two terms.
\frac{3x(2x+1)-(2x+1)}{4{x}^{2}-1}
4x
2
−1
3x(2x+1)−(2x+1)
3 Factor out the common term 2x+12x+1.
\frac{(2x+1)(3x-1)}{4{x}^{2}-1}
4x
2
−1
(2x+1)(3x−1)
4 Rewrite 4{x}^{2}-14x
2
−1 in the form {a}^{2}-{b}^{2}a
2
−b
2
, where a=2xa=2x and b=1b=1.
\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}
(2x)
2
−1
2
(2x+1)(3x−1)
5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a
2
−b
2
=(a+b)(a−b).
\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}
(2x+1)(2x−1)
(2x+1)(3x−1)
6 Cancel 2x+12x+1.
\frac{3x-1}{2x-1}
2x−1
3x−1