A local weather enthusiast wants to see if the last five summers have been warmer than normal for Eloy, Arizona. From the Nation
2 answers:
Answer:
Step-by-step explanation:
This is a question on hypothesis testing.
Population mean based on 30 year average for July was 90 with
a std deviation of 2.1
Sample of 5 shows average 93.5
To check whether sample average = population average
H0: x bar =90
Ha: x bar not equal 90(Two tailed test)
Test statistic =
=3.73
Since this lies outside the range (-1.96, 1.96) we reject null hypothesis
Hence we cannot say sample mean equals 90
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Andrew can reach a maximum of high up the wall.
The right-angled triangle formed can be solved using the ratio. that is
where is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for
, we get
Since Andrew can reach an extra above the point where the ladder rests against the wall, the maximum height Andrew can paint is
Another solved word problem on trigonometry can be found here: brainly.com/question/12146092
Answer:
2
Step-by-step explanation:
The given equation of line is
We need to find the slope of a line which is perpendicular to the given line.
The given equation can be rewritten as
...(i)
If a line is defined as , then the slope of the line is
In equation (i), a=3, b=6 and c=18. So, slope of the line is
Let be the slope of perpendicular line.
We know that product of two perpendicular line is -1.
Multiply both sides by -2.
Therefore, the slope of perpendicular line is 2.