The answer is: " 95 km " .
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Explanation:
__________________________________________________
("airport")
• {Step 1): " 25 km east " •<span>
</span>│===============================> <span>│
</span>• {Step 2): " 40 km west ["of that point"] " ; • │<==========================================│<span>
</span>• {Step 3: [back to airport] = " (40 km − 25 km) " ;
• ("airport").
│=======>│
<span> _________________________________________________
<u> Note</u>: To find "total distance traveled:
" 40 km +</span> (40 km) + (40 km <span>− 25 km) " ;
= </span>" 40 km + (40 km) + (15 km) " ;
= " 40 km + 40 km + (15 km) " ;
= 80 km + 15 km ;
= 95 km .
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<span>
The answer is: " 95 km <span>" .
</span>____________________________________________________
</span>
The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60
Now let's calculate z:
tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
Answer:
Null hypothesis: 
Alternative hypothesis: 
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:
For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
Step-by-step explanation:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:
For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
2 1/2 x 3 = 7 1/2 = 7 4/8
10 11/8
- 7 4/8
3 7/8
A is the correct answer
