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:
False
Step-by-step explanation:
Order of magnitude can mean different things in different contexts. In math, when we talk about order of magnitude, we generally mean the base-10 logarithm.
__
<h3>population order of magnitude</h3>
The population of the US is estimated at about 3.32×10^8 on 1 Jan 2022. The base-10 log of this number is about 8.52.
The order of magnitude of the US population is about 8.5, not 4.
Answer:

Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of
would be 2, and in the case of
the value would be 2. This would result in the equation:
. Then simply combine like terms to get your final answer.
Answer:....
What?
Step-by-step explanation: