The correct answer would be slightly over 33%.<span />
I say subcategory would be a good answer
Answer: the sample size should be 39
Step-by-step explanation:
The sample mean is the point estimate for the population mean. Confidence interval is written as
Sample mean ± margin of error
Margin of error = z × σ/√n
Where
σ = population standard Deviation
n = number of samples
z represents the z score corresponding to the confidence level
From the information given,
σ = 4 minutes
Margin of error = 75 seconds. Converting to minutes, it becomes 75/60 = 1.25 minutes
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96
Therefore,
1.25 = 1.96 × 4/√n
1.25/1.96 = 4/√n
0.6378 = 4/√n
√n = 4/0.6378 = 6.27
n = 6.27² = 39
Answer: m∠2 = 160°, m∠3 = 20°.
Step-by-Step Explanation: We know that m∠1 = 160°.
The values of both m∠1 and m∠2 are equivalent, which means that m∠2 is also 160°. The interior angles of a rhombus always add up to 360°, and when we add both 1 & 2, we get 320°.
The <em>other</em> opposite ends of a rhombus's interior measures are also the same in value. ... To figure out what m∠3 is, let's do the following steps:
1. 360-320 = 40
This means that the remaining two angle measurements will add up to 40°.
2. 40/2 = 20.
The final missing angle; m∠3 = 20°.
3. There, done!! Good luck!
P.S. Can I please have Brainly?
