If anyone can help me with any of these three problems, Its 2 am where I am at.. n I cant sleep until these are finished, i tried looking in my book to further explain, but I am totally stuck any help would be so greatly appreciated... Thank u so much:
41. What is the probability of rolling a nine
with a pair of dice consecutively followed
by rolling a five with a pair of dice?
Hint: Consecutive events are products of
57. Find the 5th term of the binomial expansion.
58. Identify and sketch the graph for the
y^2 +x^2 – 6x + 9 = 25
Hint: Make a table, let xmin be -2 and xmax be 8, Move all the monomials over to the right hand side except y^2 , then solve for the two values of y when taking the square root, note the positive and negative cases. After making a table, plot the points on graph paper and identify the shape.
For the probability of two dice summing to nine, you can have:
Each outcome has , as the dice are fair.
So the probability is
For the probability of two dice summing to five, you can have:
Which gives the same probability as for the sum of the dice to 9.
Because dice rolls are independent, the probability of rolling a 9 with 2 die followed by rolling 5 with 2 die
For binomial expansions,
The 5th term will be (binomial expansion formula).
For the last question,
You need to complete the square for x (the y term is already a perfect square)
Now this is the standard equation for a circle. The centre will be at , and the radius is
To sketch this, place the compass point at and draw a circle of radius 5 units.
Pr(rolling a 9) x Pr(rolling a 5).
Originally Posted by Steph07
Use this dice table to help calculate each probability: Dice table