Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ACD
Find the length side AC
Applying the Pythagorean Theorem
substitute the given values
simplify
step 2
In the right triangle ACD
Find the cosine of angle CAD
substitute the given values
----> equation A
step 3
In the right triangle ABC
Find the cosine of angle BAC
substitute the given values
----> equation B
step 4
Find the value of x
In this problem
----> is the same angle
so
equate equation A and equation B
solve for x
Multiply in cross
step 5
Find the length of BC
In the right triangle BCD
Applying the Pythagorean Theorem
substitute the given values
simplify
Answer:
The appropriate null hypothesis is 
The appropriate alternative hypothesis is 
Step-by-step explanation:
Exactly a year prior to this poll, in June of 2004, it was estimated that roughly 1 out of every 4 U.S. adults believed (at that time) that the war in Iraq was the most important problem facing the country.
At the null hypothesis, we test if the proportion is still the same, that is, of 
. So
We would like to test whether the 2005 poll provides significant evidence that the proportion of U.S. adults who believe that the war in Iraq is the most important problem facing the U.S. has decreased since the prior poll.
Decreased, so at the alternative hypothesis, it is tested if the proportion is less than 0.25, that is:
By adding two positives together, or a big positive number with a small negative number.
Answer:
Slope is 5 and y intersept is 5over6
Step-by-step explanation:
Answer:
A. 5 + 2.75 · S ≤ 21
Step-by-step explanation:
So we know that it has to be less than or equal to $21 because that's all she has to spend. So we can automatically rule out the equations with ≥ because that means greater than.
We can also rule out the equations that have 50 at the very end because that's just how far she wants to travel.
