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:

Convert 3/4 to a denominator of 8 by multiplying by two, getting you:
6/8 + 1/8
Add those and you get D) 7/8
Answer:
C
Step-by-step explanation:
The tosses before that were all by chance, the probability is still the same. Nothing changes.
Step-by-step explanation:
a. f(-4)= 2
b. f(0) = 0
c. f(3) = -1.8
d. f(-5) = 0
e. f(x) = -2 => x = 2
f. f(x) = 0 => x = 0 or -5
Answer:
binder: Liquid substance used in paint and other media to bind particles of pigment together.
fresco: Where pigments are mixed with water and then applied to a plaster support, usually a wall or a ceiling.
gouache: A type of watercolor in which white pigment is added creating a duller effect, and a tinted feel.
oil: Painting medium where pigments are binded using oils, usually linseed oil.
painting media: Material made of three components; pigment,vehicle, and binder
pigment: Ground up solids that contain color the color in paint.
tempera: A water based painting medium made with egg yolk, often used to paint frescos and panels.
vehicle: Adjusts the viscosity of the paint.
watercolor: Pigment that is mixed with arabic and gum, and mostly water before it is applied to the paper.
Painting Media
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Step-by-step explanation: