Answer:
4/5 or 0.8
Step-by-step explanation:
V=9.86-1.6 = 8.26
V = 8.26
Answer:
The number of observations required is closest to 609 ⇒ b
Step-by-step explanation:
The formula of the sample size is n = [( . σ)/E]² , where
- σ is the standard deviation
- E is the margin of error
- is the z-score, where 1 - α = confidence interval
∵ We want 90% confidence interval for the average amount
spent on books by freshmen in their first year at a major
university
∴ 1 - α = 90%
∵ 90% = 90 ÷ 100 = 0.90
∴ 1 - α = 0.90
- Subtract 1 from both sides
∴ - α = -0.10
- Divide both sides by -1
∴ α = 0.10
- Find the value of
∴ = = 0.05
- Look to the normal distribution table to find z-score for this
value with opposite sign
∴ = 1.645
∵ The interval is to have a margin of error of $2
∴ E = 2
∵ We estimate that the standard deviation of the amount spent
will be close to $30
∴ σ = 30
- Substitute these values in the formula above
∴ n = [(1.645)(30) ÷ 2]²
∴ n = 608.855
- Round it to the whole number
∴ n = 609
The number of observations required is closest to 609
Answer:
3 runners
Step-by-step explanation:
As shown in the graph, there are three x's associated with the 1/2 mile warm-up. Hope this helped!
Answer:
Step-by-step explanation:
Simultaenous Equations
a + 2d = 8
a + 7d = 33
Subtract the equations
(a + 7d = 33) - (a + 2d = 8)
(a - a) + (7d - 2d) = (33 - 8)
5d = 25
d = 25/5
d = 5
Subsitute d into either equation to find a
a + 2(5) = 8
a + 10 = 8
a = 8 - 10 = -2
a = -2
a + 7(5) = 33
a + 35 = 33
a = 33 - 35 = -2
a = -2