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).
Answer:
13.89%
Step-by-step explanation:
First lets find all possibilities of two dice being thrown, we can do this by finding a simple dice chart online (I attached an image of one to help.)
There are 36 possibilities, and we need to find how often the two dice add together to equal eight. 6+2=8, 5+3=8, etc.
There are five 5 total times that two dice can equal eight. so 5 out of 36 times we roll two dice we'll get eight.
Type that into the ol' handy dandy calculator and we've got 0.1388888889. So... a lot of 8's, we don't need that many and we just can't have an answer with that many.
To make that number into a percentage we have to move the dot two spaces over, and round to the thousandths place (two numbers).
This would give us 13.89%, our final answer.
Hope this helped!
Answer:
You just take the product of 0.2 and 0.6. The answer is 0.12 miles.
Answer:
$206.54
Step-by-step explanation:
Divide the number of officials by the total days pay to get the pay for each official working the race