In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
Answer:
(a) median = 57
(b) Q1=50 Q3=63.5
(c)D1 = 41 D9=67
(d)P33= 51
Step-by-step explanation:
(a) The numbers are arranged in ascending order, and there are even number of calls. So the median will be the average of the middle terms.
middle terms are 55 and 59
Median = 
median= 57
(b) First quarter Q1 =
th
=
th
= 7.5th
so the first quarter lies in the 7.5th= (7+0.5)th term
So we multiply 0.5 by the difference of the 7th and 8th term
=0.5 *0= 0
Q1 = 50+0=50
Q3=
th
=
th
=22.5th = (22+0.5)th term
So we multiply 0.5 by the difference of the 22th and 23rd term
= 0.5*1=0.5
Q3= 63+0.5=63.5
(c) First decile (D1) =
th
=
th
= 3rd term
D1= 41
D9=
th
=
th
=27th term
D9 = 67
(d) 33rd percentile =
th
=
th
= 9.9th term = (9 +0.9)th
Multiply 0.9 by the difference between the 9th and tenth term.
= 0.9*0 =0
P33 = 51
Answer:
Part A is 3/8 of the whole
Part B is 5/8 of the whole
Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 3 + 5 = 8
Part A = 3 and Part B = 5 are numerators for each fraction.
The fractions are then:
3/8 and 5/8
Meaning:
Part A is 3/8 of the whole
Part B is 5/8 of the whole
Answer:
1 yard of wire or 8/8 yard of wire
Step-by-step explanation:
To figure out how much wire he has left you need to take 3 from 11 which equals 8. You do not change the 8 that is behind the 3 or 11. This means you have 8/8 or 1 yard of wire.