Answer:
∠ EFH = 112°
Step-by-step explanation:
∠ ACD and ∠ EFH are Alternate exterior angles and are congruent, thus
11x - 20 = 9x + 4 ( subtract 9x from both sides )
2x - 20 = 4 ( add 20 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Thus
∠ EFH = 11x - 20 = 11(12) - 20 = 132 - 20 = 112°
Answer:
<h2>h = 4 cm</h2><h2 />
Step-by-step explanation:
V = π r² h
where r = 3 cm
V = 36π cm³
solve for h
plugin values into the formula:
36π = π 3² h
h = <u> 36π </u>
π 3²
h = 4 cm
Answer:
1. 9 raised to the third power is 729
2. 4 raised the the power of 1 is 1
Step-by-step explanation:
9*9= 81*9=729
4*1=4
9514 1404 393
Answer:
24 feet
Step-by-step explanation:
The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:
Cos = Adjacent/Hypotenuse
hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft
The ladder is about 24 feet long.
Answer:
There is not sufficient evidence to support the claim μ > 54.4.
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is
and the system of hypothesi on this case are:
Null Hypothesis: 
Alternative hypothesis:
On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided. So the correct conclusion would be:
There is not sufficient evidence to support the claim μ > 54.4.