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!
Given data:
The first equation is 3j +14=-5z.
The second equation is -10j=5z .
Add both the equations.
Substitute 2 for j in the first equation.
Thus, the value of j is 2 and z is -4.
Answer:
21:A 22:D
Step-by-step explanation:
hope that helps
Answer: Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease
Step-by-step explanation:
Answer:
P(X<1200) is 0.8212
Step-by-step explanation:
Test statistic (z) = (X - mean)/sd
X is score of a tester = 1200
mean = 1497
sd = 322
z = (1200 - 1497)/322 = -297/322 = -0.92
The cumulative area of the test statistic is the probability that X<1200. The cumulative area is 0.8212.
Therefore, P(X<1200) = 0.8212
