Answer:
and 
The null hypothesis is not rejected
Step-by-step explanation:
Given
Random sample of 50 commuter times
Solving (a): The null and alternate hypothesis
From the question, a previous census shows that:
and 
This is the null hypothesis i.e.
Reading further, a new test was to show whether the average has decreased.
This is the alternate hypothesis, and it is represented as:
Solving (b) and (c): The test statistic (T).
This is calculated using:
In this case:
and
So:
Solving (c): Accept or reject null hypothesis
First calculate the degrees of freedom (df)
From the t distribution table,
At: , and
the t score is:
<em>So, the null hypothesis is not rejected</em>
Answer:
as below
Step-by-step explanation:
to find the height of the pole recall the relationship of sin cos and tan to the triangle with this helpful mnemonic SOH CAH TOA
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
we will need to solve two triangles and subtract them.
one is the 15° one of the slope of the road and the other is the 57° one that is the angle of the sun. sooooo,
lets solve the 15° one first. We are told that the adj side is 75'
since we know the angle and the adj side and we want to find the Opp side let's use Tan b/c it has all of those in it :)
Tan(15) = Opp / 75
75*Tan(15) = Opp ( I'll put my calculator to work for this )
20.096 = Opp
that's the height of the road to the bottom of the flag pole along that flag pole axis into the ground
next lets solve the 57° triangle in the exact same way
Tan(57) =Opp / 75
75*Tan(57) = Opp
115.4898 = Opp
the tall triangle is the one that goes all the way into the ground, the small one is the one that is under the ground
so subtract the small one from the big one to find the height of the flag pole above the ground
115.4898-20.096 = 95.3938
so the flag pole is about 95.4 feet tall
:o that's pretty tall :
Hello,
Please, see the attached files.
Thanks.
70.700, 70.07, 7.070, 7.007.
1.050 -> 1.1
8.964 -> 8.96
