In detail: Based on the central limit theorem, the distribution appears normal due to the large sample size. The confidence interval is presented in the format: (Sample mean - margin of error, sample mean + margin of error). The sample mean, denoted as x, serves as the point estimate for the population mean. The confidence interval is computed as: mean ± z × σ/√n, where σ represents the population standard deviation. The formula transforms into confidence interval = x ± z × σ/√n, with specific values: x = $75, σ = $24. To find the z score, we subtract the confidence level from 100% which gives α as 1 - 0.96 = 0.04; halving this results in α/2 = 0.02, signifying the tail areas. To ensure we account for the center area, we have 1 - 0.02 = 0.98, corresponding to a z score of 2.05 for the 96% confidence level. The confidence interval becomes 75 ± 2.05 × 24/√64 = 75 ± 2.05 × 3 = 75 ± 6.15. The lower limit is 75 - 6.15 = 68.85, while the upper limit stands at 75 + 6.15 = 81.15. For n = 400, with x = $75 and σ = $24, the z score remains 2.05, resulting in the confidence interval calculated as 75 ± 2.05 × 24/√400 = 75 ± 2.05 × 1.2 = 75 ± 2.46. Subsequently, the lower bound becomes 75 - 2.46 = 72.54, and the upper limit adds up to 75 + 2.46 = 77.46. Lastly, when n = 400, x = $200, and σ = $80, the z score tied to a 94% confidence level is 1.88. Thus, the confidence interval is expressed as 200 ± 1.88 × 80/√400 = 200 ± 1.88 × 4 = 200 ± 7.52, giving us a margin of error of 7.52.
Neither individual's solution is accurate.
Navene incorrectly added numbers together, resulting in "4577"
Annabelle also made an error; although multiplication was involved, the numbers were split incorrectly, giving her "46710."
The correct outcome should be 18,690,300
The value of x equals 60 degrees.
This is because alternate interior angles are equal by definition :)
Can I get the brainliest award please?
Detailed explanation:
Information provided:
Tran possesses a credit card that allows up to $2000 in spending with an APR of 12%.
In the initial month, Tran incurred charges of $450 and settled $150 within that billing period.
The formula to determine the interest that will accrue for Tran in the first month is (0.012)(300)
Here, 0.01 signifies the monthly interest rate.
The 300 reflects the outstanding balance, as Tran charged $450 but only paid back $150.
The function representing the cost per share, C, relative to the number of contributors, n, is C = 500 / n. For the contribution to be $20 each, Jane must gather 20 additional contributors, totaling 25. With just 5 currently, she needs 20 more to reach this goal.
