Answer: 540
Step-by-step explanation:
A pentagon has a 3 diagonals so you multiply 180 by 3 which equals 540
Answer:A
Step-by-step explanation:
Answer: x = ± i , x = ±√2i are solution .
Step-by-step explanation:
Given : 
, use u substitution to solve.
To find : what are the solutions of the equation .
Solution : We have given that .
Let consider 
= u .
Substitute u = in given equation .
.
On factoring
.
Taking common
u( u+2) +1 (u+2) = 0.
On grouping
(u+1) (u+2) =0
Now, u+1 = 0 ⇒ u = -1.
u+2 = 0 ⇒ u = -2.
In term of x, plugging = u.
= -1 ; = -2.
taking square root both side
x = ± i
x = ±√2i.
Therefore, x = ± i , x = ±√2i are solution .
Answer:
X is a discrete Random variable where X is the number of races Jockey can win.
Step-by-step explanation:
To find - A jockey will ride horses in 10 different races at a race track today.
The number of races that the jockey will win is what type of random variable ?
Proof -
Given that,
A jockey will ride horses in 10 different races at a race track today.
Let us assume that,
X is the number of races Jockey can win
So,
X can take value 0, 1, 2, 3, ......10
As,
It can take countable finite values
So,
X is a discrete Random variable
∴ we get
X is a discrete Random variable where X is the number of races Jockey can win.
Answer:
Therefore 0.006 inches of rain will have fallen after 2 minutes.
Step-by-step explanation:
Given that,
y = 0.003x
where y is the number of inches of rain after x minutes.
To find the number of inches of rain after 2 minutes, we plug x = 2 minutes in above model equation.
∴ y= 0.003×2
=0.006
Therefore 0.006 inches of rain will have fallen after 2 minutes.
