The rolls of the dice are independent, i.e. the outcome of the second die doesn't depend in any way on the outcome of the first die.
In cases like this, the probability of two events happening one after the other is the multiplication of the probabilities of the two events.
So, the probability of rolling two 6s is the multiplication of the probabilities of rolling a six with the first die, and another six with the second:
Similarly,
Actually, you can see that the probability of rolling any ordered couple is always 1/36, since the probability of rolling any number on both dice is 1/6:
Answer:
Step-by-step explanation:
cos ^-1(0)=(2n+1) π/2
where n is an integer.
if 0 ≤α ≤2 π
n=0,1
cos ^-1(0)=π/2,3π/2
Answer:
y = 45/x
Step-by-step explanation:
Here, we want to write an inverse relationship
for an inverse relationship, the product of both variables will be equal to the constant term
Let us have the constant term as k
Thus, we have it that;
xy = k
9 * 5 = k
k = 45
So the inverse function is;
xy = 45
or y = 45/x
if y is a function of x, we can have it as;
f(x) = 45/x
Answer:
A
Step-by-step explanation:
3 cups of flour produces 2 batches of dinner rolls. So, if one batch makes 15 rolls, then 2 batches makes 30 rolls. Therefore, 3 cups of flour produces 30 rolls.
Laura wants to find how much flour she needs to make 12 rolls.
Here's the setup:
Let x be the number of cups of flour needed. Then,
(3 cups of flour)/(30 rolls)=(x cups of flour)/(12 rolls)
This is the set up for all equations involving ratios. The units should be consistent. Notice how I have flour/rolls=flour/rolls.
It is not necessary to solve the equation, but you should to make sure your answer makes sense. By cross-multiplying, we get x=(3*12)/30 or 1.2 cups.
This solution makes sense. Because 3 cups of flour produces 30 rolls, one cup produces 10 rolls. We need slightly more than 1 cup to get 12 rolls.
Answer:
4534443242
Step-by-step explanation:
