Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
Answer:
0.5220
Step-by-step explanation:
Since the probability of contamination is 0.15, the probability of no contamination is 1 - 0.15 = 0.85
The probability that they are all contaminated will be 0.85 * 0.85 0.85 * 0.85 = 0.52200625
This is 0.5220 to four decimal
Answer:
25,133 m or 25.1 km
Step-by-step explanation:
The circumference of the tire is ...
C = πd
C = π(1 m)
The distance the bus traveled is 8000 times this far, so is ...
distance = (8000)(π m) = 8000π m
Using 3.14159 for π, we find the distance to be about
distance = (8000)(3.14159) m ≈ 25,133 m
The bus traveled about 25,133 meters or 25.1 km.
Answer:
x = 5
Step-by-step explanation:
4x - 3x -16 + 7x =24
x - 16 + 7x = 24
8x -16 = 24
-16+16 = 24+16
40/8 = 8x/8
x = 5
It is c! you had it right !!
