2. The center of a circle is at (4,-5). The radius of the circle is 10 units. Write the equation of the
1 answer:
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The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
<h3>What is theoretical probability?</h3>Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.
Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.
Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.
- The total number of names are 5.
- The total number of names chosen are 4.
The total number of ways 4 names can be taken out from 5 names is,
.
Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.
Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is
.
The theoretical probability that Chandra will be chosen as one of the science fair participants is,
Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
Learn more about the theoretical probability here;
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The distance between the tree and the tower is 30√3m.
Justification:
<u>Let the situation be in a right angleABC form as shown in attached figure</u>.
<u>Given the height of the tower is 30m and the angle of depression to the base of the tree measure 30°</u>.
So, In ΔABC
tanθ = p/b
tan30° = 30/BC
1/√3 = 30/BC
BC = 30√3m.
Answer:
Step-by-step explanation:
(a) The function ...
can be evaluated for x=-2√2 to get ...
The point (-2√2, 1) is on the graph of f(x).
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(b) Likewise, we can evaluate for x=2:
The point on the graph is (2, 0.8).
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(c) From part (a), we know that f(-2√2) = 1. Since the function is even, this means that f(2√2) = 1. The graph is a maximum at those points, so there are no other values for which f(x) = 1.
The points (±2√2, 1) are on the graph.
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(d) There are no values of x for which f(x) is undefined. The domain is all real numbers.
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(e) The only x-intercept is at the origin, (0, 0). The x-axis is a horizontal asymptote.
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(f) The only y-intercept is at the origin, (0, 0).
