Answer:
Step-by-step explanation:
tanθ = 48/64 = x/48
x = 48²/64 = 36
The confidence interval is given by the formula:
m +/- z·(σ/√n)
First, compute the mean:
m = (<span>15.8 + 15.6 + 15.1 + 15.2 + 15.1 + 15.5 + 15.9 + 15.5) / 8
= 15.463
Then, compute the standard deviation:
</span>σ = √[∑(v - m)²/n]
= 0.287
The z-score for a 95% confidence interval is z = 1.96.
Now you can calculate:
m + z·(σ/√n) = 15.463 + 1.96·(0.287/√8)
= 15.463 + 0.199
= 15.662
m - z·(σ/√n) = 15.463 - 1.96·(0.287/√8)
= 15.463 - 0.199
= 15.264
Therefore the confidence interval is (15.264, <span>15.662) and the correct answer is E) none of the above.</span>
<h2>
Answer:</h2>
Percentage is related to 100 and tells us how much we have of a quantity compared to another one. Suppose you have 100 cars and want to know how much cars are in red color. If 70 cars are red, then 70 percent of the cars are red. In general, we can find the percentage of a number following the steps:
For this example, let's take number 200 and the percentage 20%:
STEP 1: Multiply the number by the percentage:
200 x 20 = 4000
STEP 2: Now divide the number by 100:
400/100 = 40
STEP 3: If necessary., round to the desired precision.
