Given segment AC and point B lies on AC Find CB if AC = 51, AB = 6-5x, and CB = 49 + 6x
1 answer:
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Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is
The population standard deviation is
The level of significance is
The population mean is
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
=>
=>
From the z table the area under the normal curve to the left corresponding to 1.75 is
Generally p-value is mathematically represented as
=>
=>
From the values obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Answer:
see explanation
Step-by-step explanation:
There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.
The height above the tower to the plane = 13000 - 150 = 12850 ft
The angle between the plane and the tower is 20° , angle of depression.
Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then
tan20° = =
( multiply both sides by hor)
hor × tan20° = 12850 ( divide both sides by tan20° )
hor = ≈ 35305 ft ( to the nearest foot )
(2)
Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )
Using the right triangle formed with legs 65 and 37 and angle of depression x, then
tanx° = =
, thus
x = (
) ≈ 30° ( to the nearest degree )