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
Answer:
a=108
Step-by-step explanation:
180x3=540
540/5=108
a=108˚
Hello! They answer to your question would be that you spent $44. This was because 7*2=14 and 6*5-30. Therefore, 14+30=44.
The zeros are (-3,0) and (-0.5,0)
Answer:
Lateral surface area = 826.5 m²
Step-by-step explanation:
Formula to calculate the lateral surface area of the triangular prism,
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
Perimeter of the triangular base = 6 + 11 + 12
= 29 m²
Height of the prism = 28.5 m
Therefore, lateral surface area of the prism = 29 × 28.5
= 826.5 m²