Answer: y=4x-4
Step-by-step explanation:
To find the equation fo the line parallel to the given line, we can use the given point to find the y-intercept. We know that the slope must stay the same because parallel lines NEVER touch or cross. This means that the slope MUST be the same.
y=4x+b
We can use the given point to find the y-intercept.
8=4(3)+b [multiply]
8=12+b [subtract both sides by 12]
b=-4
Now that we have found the y-intercept, we can complete the equation.
y=4x-4
The answer of how many quarts are in 8 1/4 gallons is 33 qt
1. P(A) c. The probability that event A occurs.
2. P (A ∩ B) a.<span>The probability that both event A and event B occur.
3. </span>P (A ∪ B) <span>d. The probability that either event A or event B occurs
</span>4. 1 - P (A ∩ B) e. <span>The probability that both events A and B do not occur together, but either may occur by itself
</span>5. 1 - P (A ∪ B) f. <span>The probability that neither event A or event B occurs
</span>6. P (A | B) b.<span>The probability that event A occurs given the fact that event B occurs</span>
Answer:
.
Step-by-step explanation:
We have been given two sets as A: {71,73,79,83,87} B:{57,59,61,67}. We are asked to find the probability that both numbers are prime, if one number is selected at random from set A, and one number is selected at random from set B.
We can see that in set A, there is only one non-prime number that is 87 as it is divisible by 3.
So there are 4 prime number in set A and total numbers are 5.
We can see that in set B, there is only one non-prime number that is 57 as it is divisible by 3.
So there are 3 prime number in set B and total numbers are 4.
Now, we will multiply both probabilities to find the probability that both numbers are prime. We are multiplying probabilities because both events are independent.
Therefore, the probability that both numbers are prime would be .
is less than
. This is because 6/12 and 8/12 already have the same denominators, so we don't need to change em. Now lets look at the numerators:-
6 & 8
Now we will compare these
6 is less than 8
So, 6/12 is
less than 8/12.
Hope i helped ya!!
