Answer:
96 is the 6th term of the geometric sequence
Step-by-step explanation:
The sequence is just adding the number twice to get the nect sequence.
So,
3+3 = 6
6+6 = 12
12+12 = 24
24+24 = 48
48+48 = 96 this is the 6th term
Hope this is helpful
Answer:
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
with
a
=
3
x
and
b
=
4
9
x
2
−
24
x
+
16
=
(
3
x
)
2
−
(
2
⋅
(
3
x
)
⋅
4
)
+
4
2
=
(
3
x
−
4
)
2
Answer:
374.4
Step-by-step explanation:
All items related to the maintenance are 20% more expensive, it means that each datum is 20% bigger including the average.
The variance its a dispersion measurof the data and its calculated of this way:
Here n is the number of data, is the average and represent each datum. The increment in 20% in each parameter can be represented multiplying for 1.2, of this way
Factorizing the 1.2 we have:
That is:
The new variance is
To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.
To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.
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x + 2y = 5