Answer: 2.845
Step-by-step explanation:
The formula to find the standard deviation is given by :-
, where p is the probability of getting success in each trial and n is the sample size.
Given : Sample size : n=110
The proportion of employees older than 55 and considering retirement : p=0.08
Then, the standard deviation is given by :-

Hence, the standard deviation for the sampling distribution of the sample proportions is 2.845.
Answer:
d = 10.5, a₁ = - 3.5
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 7 and a₄ = 28 , then
a₁ + d = 7 → (1)
a₁ + 3d = 28 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 21 ( divide both sides by 2 )
d = 10.5 ← common difference
Substitute d = 10.5 into (1)
a₁ + 10.5 = 7 ( subtract 10.5 from both sides )
a₁ = - 3.5 ← first term
Reminder: y = mx + b, to isolate y, you would need to subtract mx value, and what you do to one side, you do to all. If there’s a coefficient in front of your y value, you then divide the equation by that coefficient. Once y is isolated, m and b values are easier to find.
Answer:
1) y = -2x + 1 // m = -2, b = 1
2) y = 5/8x - 1 // m = 5/8, b = -1
3) y = 7/8x - 3/4 // m = 7/8, b = -3/4
4) y = 3/4x + 4 // m = 3/4, b = 4
Answer:
56
Step-by-step explanation:
The median is the middle number of a sorted set from least to greatest. After sorting the set 61, 48, 52, 65, 56, 77, 54 the set is 48, 52, 54, 56, 61, 65, 77.
The middle number in this set is 56 so the median is 56