Answer:
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- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
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Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:


And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:

Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:


The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:

The measures of angles B and C are 118° and 62°, respectively.
<h3>What are the measures of two missing angles generated by the intersection of two lines?</h3>
A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.
When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.
To learn more on angles: brainly.com/question/7116550
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Answer: There are 108 hammers, and there are 36 screwdrivers. 36×3=108·
Step-by-step explanation: We know that there are more hammers than screwdrivers, so there are 36 screwdrivers but there are 3 times as many hammers so we multiply 36 by 3 to get 108.
Answer:
See explanation
Step-by-step explanation:
Given the function f(x) for which

If you want to plot the corresponding points for the inverse of the function f(x), change
into
:

switch x and y

and then change
into
You get

Now plot these points on the coordinate plane (see attached diagram).