1. In a recent wind storm a large tree broke and made a 58° angle
1 answer:
*see attachement for diagram
Answer:
40.4 ft
Step-by-step explanation:
Let the part that broke away be represented as "x"
Thus, the digram makes a right triangle shape.
The closest total length of tree before the storm = x + 14 ft
Apply trigonometric function to find x.
Reference angle = 58°
Side adjacent to reference angle = 14 ft
Hypotenuse = x
Apply CAH, which is:
Cos 58 = adj/hyp
Cos 58 = 14/x
x * Cos 58 = 14
x = 14/Cos 58
x = 26.4191188 ≈ 26.4 ft
✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft
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Answer:
a) Null hypothesis:
Alternative hypothesis:
H0: μ -greater than or equal to 14
Ha: μ - less than 14
b)
c) For this case since the p value is higher than the significance level given of 0.05 the answer would be NO
We can't conclude that the actual mean waiting time is significantly less than the claim of 14 minutes made by the taxpayer advocate
Step-by-step explanation:
Data given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
Part a: System of hypothesis
We need to conduct a hypothesis in order to check if the true mean is less than 14 minute, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
If we replace we got:
Part b: P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one sided lower test the p value would be:
Part c
For this case since the p value is higher than the significance level given of 0.05 the answer would be NO
We can't conclude that the actual mean waiting time is significantly less than the claim of 14 minutes made by the taxpayer advocate