Student body elections are coming up and there are a lot of options. There are 3 candidates for president, 4 for secretary, and 10 for mascot. Suppose a student were to fill out their ballot by randomly picking a candidate or
abstaining for each position. Each outcome in the sample space for the random ballots is equally likely. What is the
probability of each outcome in the sample space?
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given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

8

step-by-step explanation:

answer:

1.14285714286

step-by-step explanation:

divide 40 into 35 and you will get your answer