Answer:
{4H, 4T}
Step-by-step explanation:
The list that contains only the outcomes where the number cube is more than 3 is given below:
Sample space is
= {1,2,3,4}
The results more than 3 is
S = {3}
After this, the sample space i.e. C when the coin is fippled is
C = {H, T}
Here H denotes the Head
T denotes Tail
So, the outcomes would be
= {4} + {H,T}
= {4H, 4T}
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Angle UQR = Angle UQX since they are corresponding angles. Note how the top polygon reflects over the line QU to get the bottom polygon.
So because of this, and because angle UQX = 45, this means the answer is 45 degrees
Answer:
The distance between the given points (2,10) and (-6, 4) on the coordinate plane is 10units
Therefore distance s=10 units
Step-by-step explanation:
Given points are (2,10) and (-6, 4) on the coordinate plane
To distance between the given points :
The distance formula is 
units
Let 
,
be the given points (2,10) and (-6, 4) respectively
Now substituting the values in the distance formula we get
Therefore s=10 units
The distance between the given points (2,10) and (-6, 4) on the coordinate plane is 10units
