Answer:
within ±1.96 standard deviations of the sample mean
Step-by-step explanation:
A 95% confidence interval is found using the formula C = 1 - α, and some other stuff, but let's focus on that for now. Using the formula:
.95 = 1 - α
α = .05
If α = .05, that means a 2-sided confidence interval would be found using the sample mean and the Z-score Z(subscript α/2), or Z.₀₂₅ because α AKA .05 divided by 2 = .025. From there, you take this either to your calculator or a Z-table (or perhaps you have a chart that lists the common CI values), and see that for the area to be .025 beneath a standard normal curve, your Z value is ±1.96 ("plus or minus" because we're considering a 2-sided confidence interval).
Division first
12 over 2 x 6
= 6 x 6
= 36
The values of the simplified or solved trigonometric functions that are equal are sin and cos, given that the angles are complementary. From the choices above, the answer would be letter C.
sin 36° = 0.5877
cos 54° = 0.5877
It can also be observed that 36° and 54° will sum up to 90°.
Distance Keith ran = 26 miles
Time it took
= 3 hours 2 minutes = [(3 * 60) + 2] minutes = (180 + 2) minutes = 182 minutes
Hence,
Speed (Rate) =
miles per minute
Hence,
Time taken to complete 1 mile
=
= 7 minutes
Hence, the answer is B.
