Answer:
50 feet
Step-by-step explanation:
Given:
Vertical height of lift by escalator (h) = 25 ft
Angle of inclination of escalator (x) = 30°
Now, the person traveling along the escalator is equal to the length of the escalator from bottom to top.
Now, a triangle can be constructed using the above scenario.
Consider a right angled triangle ABC with:
AB → Vertical height of escalator = 25 ft
AC → Length of escalator = ?
Now, using trigonometric ratio for sine, we can find the length AC.
This gives,
Therefore, the distance of travel of a person from bottom to top of the escalator is 50 feet.
Answer: a
Step-by-step explanation:
Tell me if it is correct
Answer: Choice B
{(0,0), (1,2), (2,4), (3,4)}
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Explanation:
A function is only possible if each x input leads to exactly one y output. For choice A, we have x = 1 lead to y = 3 and y = 5 at the same time, which is what the points (1,3) and (1,5) are saying. Therefore, choice A is not a function.
Choice C is also ruled out because x = 2 repeats itself as well. In this case, (2,3) and (2,4) means that the input x = 2 leads to the two outputs y = 3 and y = 4.
Choice D can be eliminated also for two reasons: x = 0 shows up twice, so does x = 2.
Only choice B has each x value listed one time only. So that means each input leads to exactly one output.
If you graph choice A, C or D, you'll find they fail the vertical line test. The vertical line test is where you test if you can draw a vertical line through more than one point on the graph. If you can draw a vertical line through more than one point on the graph, then the relation fails to be a function.
Answer:
The correct option is (a).
Step-by-step explanation:
A type II error is a statistical word used within the circumstance of hypothesis testing that defines the error that take place when one is unsuccessful to discard a null hypothesis that is truly false. It is symbolized by <em>β</em> i.e.
<em>β</em> = Probability of accepting H₀ when H₀ is false.
In this case we need to test the hypothesis whether the new drug is safe or not.
The hypothesis can be defined as:
<em>H₀</em>: The new drug is not safe.
<em>Hₐ</em>: The new drug is safe.
The type error will be committed if we conclude that the null hypothesis will not be rejected, i.e. concluding that the new drug is not safe when in fact it is safe.
Thus, the correct option is (a).