Answer:
Step-by-step explanation:
Since population std deviation is not known, we use t critical value for testing of hypothesis.
a) 90% conf level when n =28
df = 27, t critical = 1.706
b) 95% 28
df =27 and t critical = 2.052
c) 90% and 15
df =14 and t critical = 1.761
d) 95% and n =15
df =14: t critical = 2.145
Answer:
Part a. The graph does not model a proportional relationship.
Part b. The values in table model a proportional relation.
3.5 minutes per mile.
Step-by-step explanation:
Part a.
The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.
That is why the rate of change of distance with time is not constant.
Therefore, the graph does not model a proportional relationship.
Part b.
If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.
So, the values in the table model a proportional relation.
Now, Tarik's unit rate in minutes per miles will be
minutes per mile. (Answer)
The horizontal distance between light house and boat is 1588.78 feet approximately.
The figure is given by,
Here, AB = height of the lighthouse bacon light above the water = 139 feet
Now angle ACB = 5 degree
Let the horizontal distance of light house from the boat = BC = x feet
So by trigonometric function we get,
tan 5 = AB/BC
tan 5 = 139/x
x = 139/tan 5 = 1588.78 (approximately)
Hence the horizontal distance between light house and boat is 1588.78 feet approximately.
To know more about Trigonometric Function refer to:
brainly.com/question/1143565
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Answer:
22
Step-by-step explanation:
(5x-7 )+(4x-11)=180 ( it equals 180 because those two angles equal 180)
Then add the similar things together
5x+4x=9x
-7-11= -18
9x-18=180, add 18 on both sides to get 9x alone
9x=180, then divide 180 by 9 to get x alone
x=22