Answer: 0.4
Step-by-step explanation:
Given: Cumulative exponential distribution:
As per given,
Hence, the required probability = 0.4
Answer:
90% is the answer for confidence interval
Step-by-step explanation:
Given that a field test for a new exam was given.75±0.05(75)
i.e. margin of error =0.05(75)=
The population under study was the seniors. Sample mean and std dev were calculated
Stated that the exam creator ased on the results, that on the same exam, 9 out of 10 seniors will have an average score within 5% of 75%
This implies that 9 out of 10 means in percent 90%
Hence the confidence interval is 90%
SInce 5% of 75 is given the range is 75±(75)
Margin of error =3.75
Confidence interval =(75±3.75)
=(71.25,78.75)
We can interpret this we are 90% confident that as sample sizes increase, and samples are drawn at random the average grades of seniors would lie between 71.25 and 78.75
I think the answer is 312 hope this helps
#3 sin(x) = -sqrt(2)/2 so x = 315 degrees. So we have sin(x+pi/3) = sin(375) = sin(15) which in exact form would be (sqrt(3) -1)/(2sqrt(2))
#4 to find x we take the arctan(20/21) which is approximately 43.6 degrees and add 180 to it since it's in the 3rd quadrant which is 223.6 degrees so we do sin(223.6 + 90) = sin(313.6) which equals -21/29. This can also be done with the pythagorean theorem. -21/29.
#5 13^2 - 5^2 = 12^2. so sin is -12/-13 = 12/13. we take arcsin of that and add 180 and then divide by 2 and take the sin of that and its approximately 3/sqrt(13).
#6 sin is 4/5 so we take arcsin of that and get 143.13 which -60 is 83.13 and we take the sin of that to get 3/10 + 2sqrt(3)/5
Hope this helped :L
