Answer:
(53.812 ; 58.188) ; 156
Step-by-step explanation:
Given that :
Sample size (n) = 51
Mean (m) = 56
Standard deviation (σ) = 9.5
α = 90%
Using the relation :
Confidence interval = mean ± Error
Error = Zcritical * (standard deviation / sqrt (n))
Zcritical at 90% = 1.645
Error = 1.645 * (9.5 / sqrt(51))
Error = 1.645 * 1.3302660
Error = 2.1882877
Hence,
Confidence interval :
Lower boundary = 56 - 2.1882877 = 53.8117123
Upper boundary = 56 + 2.1882877 = 58.1882877
Confidence interval = (53.812 ; 58.188)
2.)
Margin of Error (ME) = 1.25
α = 90%
Sample size = ((Zcritical * σ) / ME)^2
Zcritical at 90% = 1.645
Sample size = ((1.645 * 9.5) / 1.25)^2
Sample size = (15.6275 / 1.25)^2
Sample size = 12.502^2 = 156.3000
Sample size = 156
Last option is your answer ( 0.00000991)
Answer:
Step-by-step explanation:
(-2 + x)/2= 4
-2 + x = 8
x = 10
(2 + y)/2 = -3
2 + y = -6
y = -8
(10, -8) for endpoint H
Answer: y < 3x -4
Step-by-step explanation:
We know two points of line: (0,-4) and (1,-1)
Therefore, we can find the slope: 3/1.
We know the y intercept.
Dashed line means the inequality is not apart of the region.
y < 3x-4
