Answer:
4.5 m
Step-by-step explanation:
Distance from center to the the bottom part where headroom begins is 3.9 m-2.6 m=1.3 m
Since the radius is 2.6 m and acts as hypotenuse(see attached image), then the other length will be
Approximately 2.25 m
The half width is 2.25 m hence full width will be 2.25*2=4.5 m
Answer:
Recursive: f(1) = 1; f(n) = f(n-1)/3
Equation: f(x) = 5/3·(1/3)^(x-1)
Step-by-step explanation:
You know this is an exponential function because sequential lines in the table have a common ratio of f(x) values:
f(2)/f(1) = (5/9)/(5/3) = 3/9 = 1/3
f(3)/f(2) = (5/27)/(5/9) = 9/27 = 1/3
and it continues like that.
Besides telling you the function is exponential, it also tells you that each term is 1/3 of the previous term.
<h3>Recursive formula</h3>The value of f(1) is read from the table. For x = 1, that value is ...
f(1) = 5/3
As we noticed above, each term is 1/3 the previous term, so the recursive relation is ...
f(n) = (1/3)·f(n-1)
<h3>Equation</h3>The general form of the equation for a geometric (exponential) relation is ...
f(x) = f(1)·r^(x-1) . . . . . . where f(1) is the first term, and r is the common ratio
For this function, we have f(1) = 5/3 and r = 1/3, so the equation is ...
f(x) = 5/3·(1/3)^(x-1)
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<em>Additional comment</em>
When given values of x that count from 1, we often express the equation in terms of (x-1). That equation can be simplified so the exponent is x.
f(x) = 5·(1/3)^x
Answer:
Option C) 0.67
Step-by-step explanation:
We are given the following in the question:
M: Maths honors
S: Science honors
Probability of being in honors math = 0.30
Probability of being in honors math and honors science = 0.20
We have to find the probability of being in honors science if you are in honors math.
We have to evaluate:
Thus, 0.67 is the probability of being in honors science if you are in honors math.
Thus, the correct answer is
Option C) 0.67