Answer:
13/6
Step-by-step explanation:
Since the denominator is the same, you can add the numerator. 13/6 is the simplest form.
Answer: r = 2/3
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 36
The 4th term is 32/3
n = 4
Therefore,
T4 = 32/3 = 36 × r^(4 - 1)
32/3 = 36 × r^3
Dividing both sides if the equation by 36, it becomes
32/3 × 1/36 = r^3
8/27 = r^3
Taking cube root of both sides of the equation, it becomes
(8/27)^1/3 = r^3 × 1/3
r = 2/3
Answer:
False this value is very likely to find in this distribution
Step-by-step explanation:
With mean 7 ( μ ) and standad deviation (σ ) 2 we can observe, value 6.6 is close to the lower limit of the interval
μ ± 0,5 σ 7 ± 1 in which we should find 68,3 % of all values
(just 6 tenth to the left)
And of course 6.6 is inside the interval
μ ± 1 σ where we find 95.7 % of th value
We conclude this value is not unlikely at all
