I think it's 5 because 9 can go into 51 5 times with a reminder of 1 5 and 1
Answer:
Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.
Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.
And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.
In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.
Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
1. 135°
2. 108°
i am unsure about 3 & 4, i am sorry :(
Answer:
sin theta = +(√23)/5
Step-by-step explanation:
Did you know that the cosine is an even function, so that cos (-theta) = cos (+theta)?
Thus we have:
cos(θ)= −√2/5 , sinθ>0
If the cosine of theta is negative, that means that the terminal side of theta is in either Quadrant II or III. Since the sine of theta is positive, we can deduce that theta is in Quadrant II.
Given cos(θ)= −√2/5, we square both sides, obtaining (cos theta)^2 = 2/25. Using the formula (sin theta)^2 + (cos theta)^2 = 1, we arrive at:
(sin theta)^2 = 1 - 2/25, or 23/25.
Then sin theta = +(√23)/5.
