Step-by-step explanation:





so the answer is 40
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
At 95% confidence interval, true population mean is given by
x+/- 2sd
where x= sample mean and sd = sample standard deviation
True mean of population = 13.50 +/- 2*1.51 = 13.50+/-3.02
Interval: 13.50+3.02, 13.50-3.02 = 16.51, 10.48
A=bh
A=471.5(21.3)=10042.95cm2
Answer:
I would reject the null hypothesis.
Step-by-step explanation:
The test is a two-tailed test because it is stated that the alternate hypothesis is two-sided.
Degree of freedom = n - 1 = 350 - 1 = 349
At 349 degrees of freedom and 5% significance level, the critical values are -1.96702 and 1.96702
Conclusion:
Reject the null hypothesis because the test statistic 3 falls outside the region bounded by the critical values -1.96702 and 1.96702.