Answer:
Step-by-step explanation:
Hello!
If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=
And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.
Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"
The probability of A occurring will be P(A)= 1/6
On the other hand, the complement of "A" will be : "Tom rolled the dice for the 10nth time and didn't obtain a 6"
This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5
You can calculate the probability pf this event by adding the probability of obtaining each value P()= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6
Or by subtracting the probability of A to the total probability of the sample space:
P()= 1 - P(A)= 1 - 1/6= 5/6
I hope this helps!
The variance is 5
hope this helped
Answer:
30 degree
Step-by-step explanation:
x + x + 60 + 60 = 180 degree (being sum of interior angles of a triangle )
2x 120 = 180
2x = 180 - 120
x = 60/2
x = 30 degree
Answer:
no solutions
Step-by-step explanation:
4x-39>-43
Add 39 to each side
4x-39+39>-43+39
4x > -4
Divide each side by 4
4x/4 > -4/4
x >-1
8x+31<23
Subtract 31 from each side
8x+31-31<23-31
8x < -8
Divide each side by 8
8x/8 < -8/8
x < -1
Assuming that you have a system of inequalities, there is no overlap when x<-1 and x>-1 so there is no solution.
Multiplying a vector by a scalar means to multiply each coordinate of the vector by said scalar.
So, we must multiply both entries by 7: