Answer:
The answer is below
Step-by-step explanation:
1)
mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65
Given that the confidence level (c) = 90% = 0.9
α = 1 - c = 0.1
α/2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given as:
The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)
2)
mean (μ) = 23, SD(σ) = 12, sample size (n) = 45
Given that the confidence level (c) = 88% = 0.88
α = 1 - c = 0.12
α/2 = 0.06
The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56
The margin of error (E) is given as:
The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)
Answer:
A
Step-by-step explanation:
SA = πr² + πrs
r = 4.42
s = 2.61
SA = π(4.42)² + π(4.42)(2.61)
SA = 19.5364π + 11.5362π
SA = 61.34 + 36.22
SA = 97.56
The closest answer would be A.
Best of Luck!
Answer:
2.46
Step-by-step explanation:
Cross multiply again
Hope this helps!
Answer:
25,625
Step-by-step explanation:
If your current salary is the 100%, and you get a 2.5% increase, that means the new salary would be 102.5% of 25,000. This percentage could also be written as 1.025, which you would multiply to 25,000 to get your new salary.
1.025 · 25,000 = 25,625
Therefore, your new salary would be $25,625
Answer:
2x - y = 6
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = 2x - 6 ( add 6 to both sides )
y + 6 = 2x ( subtract y from both sides )
6 = 2x - y, that is
2x - y = 6 ← in standard form