Answer:
a) Option D) 0.75
b) Option D) 0.3
Step-by-step explanation:
We are given the following in the question:
Percentage of students who choose Western riding = 35%

Percentage of students who choose dressage= 45%

Percentage of students who choose jumping = 50%

Percentage of students who choose both dressage and jumping = 20%

Percentage of students who choose Western and dressage = 10%

Percentage of students who choose Western and jumping = 0%

Thus, we can say

Formula:

a) P(student chooses dressage or jumping)

b) P(student chooses neither dressage nor Western riding)

Answer:
x=14.4
Step-by-step explanation:
x=
x=
x=
x=
x=14.4
To solve this function, all we need to do is substitute -4.3 in for wherever "x" appears and then simplify.
f(x) = 7.45x + 33.7; x = -4.3
f(-4.3) = 7.45(-4.3) + 33.7
f(-4.3) = -32.035 + 33.7
f(-4.3) = 1.665
This means that, when x = -4.3, f(x) = 1.665.
Note: It may help to remember that, in a function such as this, f(x) can be thought of as the "y" value that corresponds to the given "x" value (in fact, when writing it out with words, f(x) is the same as "function of x"). And, if you are given a value for f(x), then the opposite is true. Just substitute in the value given for f(x) and solve for x.
Hope this helps!
Answer:
π
2
,
3
⋅
π
2
,
3
⋅
π
4
,
7
⋅
π
4
Explanation:
Factorizing your equation we get
cot
(
x
)
=
0
so
cos
(
x
)
=
0
we get the following Solutions in the given interval
x
=
π
72
or
x
=
3
π
2
for the second case we get
cot
(
x
)
=
−
1
so
cos
(
x
)
=
−
sin
(
x
)
and we get
x
=
3
π
4
or
x
=
7
π
4
Hint:
To get the Solutions of the last equation you can use
√
sin
(
x
+
π
4
)
=
0
Step-by-step explanation: