How do the graphs of f(x)=x^3 and g(x)=(1/3x)^3 relate?
2 answers:
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Answer:
The answer to your question is p = 27.7 q = 29
Step-by-step explanation:
Process
1.- Calculate the value of all the angles of the triangle
The angle of 50° and the one to the right are supplementary
x + 50 = 180
x = 130°
- The sum of the internal angles in a triangle equals 180°
30° + y + 130° = 180
y = 180 - 130 - 30
y = 180 - 160
y = 20°
- The angle of the right triangle
50 + 90 + z = 180
z = 180 - 90 - 50
z = 40°
If sum up the superior angles 20 + 40 = 60°, then the biggest triangle is a 30-60-90
2.- Calculate q using the trigonometric function tangent
tan Ф = q / 55
solve for q
q = 55 tan 30
q = 28.9 ≈ 29
3.- Calculate the hypotenuse of the biggest triangle
h² = 55² + 29²
h² = 3866
h = 62,12
4.- Use law of sines to find p
solve for p
p =
p = 27.74
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%
At the alternate hypothesis, we test if this percentage is more than 5.8%. So
This means that the correct answer is given by option c.