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
Significant figures refers to digits within a number which must be included in other depict correct quantity of the figure.
- 4.29478416 = 4.2947842 ( 8 significant figures)
- 4.29478416 = 4.29478 (6 significant figures)
- 4.29478416 = 4.295 ( 4 significant figures)
- 4.29478416 = 4.3 (2 significant figures)
To round a number to a certain number of significant figures,
- Only leading 0 which comes before the decimal Point are regarded as insignificant.
- Once the number of significant figures have been identified, the next number after this is either rounded up to 1 and added to the last value(if number is ≥5) or rounded to 0 (if number is less than 5)
Learn. More : brainly.com/question/13386983?referrer=searchResults
The Solution:
The correct answer is [option B]
Given:
Required:
To determine the inequality represented by the given number line.
Answer:The measure of angle x is 65°.
Step-by-step explanation: Determine the measure of angle x. Step 1: Add together the known angles. Step 2: Subtract the sum from 180°. The measure of angle x is 65°.
