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!
There are 431 females
785-77=708
708/2=354
354=males
354+77=431
431=females
to check work do 431=354 and that equals 785
Answer:
122/90 or 1 32/90
Step-by-step explanation:
8/9 and 7/15 have the common denominator of 90.
Step 1:
8/9 + 7/15
Step 2:
80/90 + 42/90
Step 3:
122/90
Answer:
122/90 or 1 32/90
Hope This Helps :)
Answer:
m = 2/3
b = -3
Step-by-step explanation:
Rearrange the equation to slope-intercept form (y = mx + b).
x and y are points on the graph.
m is the slope.
b is the y-intercept.
Isolate "y". This means separating it from the other numbers.
-2x +3y = -9
-2x + 2x +3y = -9 + 2x Add 2x to both sides
3y = 2x - 9
3y/3 = 2x/3 - 9/3 Divide both sides by 3
y = 2x/3 - 9/3 Simplify
y = (2/3)x - 3
Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.
m = 2/3
b = -3
The answer is...
1. B
2. B
3. B
4.C
5.C
