Answer:
A = 60 and B = 30
Now, A + B = 60 + 30 = 90
Also, A – B = 60 – 30 = 30
sin (A + B) = sin 90 = 1
sin A cos B + cos A sin B = sin 60 cos 30 + cos 60 sin 30
Answer:
(5.871 `; 6.127)
Step-by-step explanation:
Given :
Mean = 6
Standard deviation. σ = 0.5
Samplr size, n = 100
Zcritical at 99% confidence = 2.58
The confidence interval :
Mean ± margin of error
Margin of Error = Zcritical * σ / sqrt(n)
Margin of Error = 2.58 * 0.5/sqrt(100) = 0.129
Confidence interval :
Lower boundary = 6.00 - 0.129 = 5.871
Upper boundary = 6.00 + 0.129 = 6.129
(5.871 `; 6.127)
Answer:
There is a 95.6% chance that the weight will fall within this range.
Step-by-step explanation:
This is because the extremes that are given are roughly two standard deviations from the mean. To be outside of that, there is only 2.2% likelihood to be higher and another 2.2% to be lower. When we subtract these two from 100%, we get our probability.
100% - 2.2% - 2.2% = 95.6%
Given that

and

, given that the population mean is

and the sample size is n = 16, the test statistic is given by

Since the test is a two tailed test, the p-value is 2(0.07493) = 0.14986
Since the p-value is greater the significant level of α = 0.01, thus, we fail to reject the null hypothesis and conclude that there is no sufficient evidence that <span>the percentage of wheat crop lost to hail in that county is different from the national mean of 11%</span>.
Answer:
180 divided by 4.5 is 40 so the unit rate is 40 miles per gallon/ 40 over 1/ 40/1
Step-by-step explanation: