Answer:
P(A and B) = 7/80
Step-by-step explanation:
The given values of the probabilities of the different events are;
P(A) = 7/20
P(B) = 7/20
P(A or B) = 49/80
P(A and B) = Required
We have by probability theory for any event;
P(A or B) = P(A) + P(B) - P(A and B)
Therefore;
P(A and B) = P(A) + P(B) - P(A or B)
Plugging in the values gives;
P(A and B) = 7/20 + 7/20 - 49/80 = 7/80
∴ P(A and B) = 7/80
This is called diffusion.
Answer: A
Step-by-step explanation: I use synthetic division for problems like these:
-3 | 4 2 -18 38
4 -10 12 2
Since -3 + 3 = 0, we use -3 in this process. Write out the coefficients in order separate from -3. Next, bring down the 4 and multiply -3 by 4 = -12. Add 2 and -12 = -10. Multiply -10 by -3 = 30. Add 30 to -18 to get 12. Multiply 12 and -3 = -36. Add -36 and 38 = 2
Answer:
Option 1)

Option 3)

Option 4)

Step-by-step explanation:
We are given an inequality in the question:

We have to find the inequalities equivalent to the given inequality.
1)

which is equivalent to the given inequality.
2)

which is not equivalent to the given inequality.
3)

which is equivalent to the given inequality.
4)

which is equivalent to the given inequality.
5)

which is not equivalent to the given inequality.
Answer:
D. 6
Step-by-step explanation:
One-pound bags sell for $2
Three-pound bags sell for $5
9 bags were sold for $36
6*$5=$30 (three pound bags)
3*$2=$6 (one pound bags)
$30+$6=$36
So 6 of the three-pound bags were sold