This is my work and only part 1
2(5x-7)=2x+10 what Is the distributive property
1 answer:
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Answer:
= { (4,1) , (3,2) , (2,3) , (1,4) }
Step-by-step explanation:
Let's start writing the sample space for this experiment :
{ (1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,1) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (3,1) , (3,2) , (3,3) , (3,4) , (3,5) , (3,6) , (4,1) , (4,2) , (4,3) , (4,4) , (4,5) , (4,6) , (5,1) , (5,2) , (5,3) , (5,4) , (5,5) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,6) }
Let's also define the event ⇒
: '' The sum of the two dice is 5 ''
We can describe the event by listing all the favorables cases from ⇒
= { (4,1) , (3,2) , (2,3) , (1,4) }
In order to calculate we are going to divide all the cases favorables to
over the total cases from
. We can do this because all 36 of these possible outcomes from
are equally likely. ⇒
⇒
Finally we are going to define the event ⇒
: '' The number of the first die is exactly 1 more than the number on the second die ''
⇒
= { (2,1) , (3,2) , (4,3) , (5,4) , (6,5) }
Now given two events A and B ⇒
P ( A ∩ B ) =
We define the conditional probability as
with
We need to find therefore we can apply the conditional probability equation :
(I)
We calculate at the beginning of the question. We only need
.
Looking at the sets and
we find that (3,2) is the unique result which is in both sets. Therefore is 1 result over the 36 possible results. ⇒
Replacing both probabilities calculated in (I) :
We find out that
Answer:
The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.
Step-by-step explanation:
Given:
Cost of 15 ounces of oat cereal box = $3.90
Cost of 11 ounces of rice box = $3.30
To compare the unit prices of the the boxes.
Solution:
Using unitary method to find the unit prices:
If 15 ounce of oat box cost =$3.90
∴ 1 ounce of oat cereal would cost =
∴ Per ounce cost of oat cereal = $0.26
If 11 ounce of rice box cost =$3.30
∴ 1 ounce of rice would cost =
∴ Per ounce cost of rice = $0.3
Difference in unit costs of oat and rice =
On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.