Inequality with OR: We use OR when you have two or more cases that could or not happen at the same time, for example with inequalities when you have an OR you use the union of the sets given by the inequalities. for example if we have the following two inequalities
it will represent the union of the set of numbers that are greater than one with the set of the numbers that are less than zero.
Inequality with AND: We use AND when you need that all the conditions holds at the same time (here is not accepted that only one holds) for example with inequalities when you have AND you need to use the intersection of the sets given by the inequalities. For example:
will represent the intersection of the set of number that are greater than two and less than ten AT THE SAME TIME
Answer:
a. P(A) = P(B)
c. P(A) = 1 - P(B)
a and c are true . The rest are false.
Step-by-step explanation:
Two events A and B are said to be <u>equally likely </u> when one event is as likely to occur as the other. In other words each event should occur in equal number in repeated trials. For example when a fair coin is tossed the head is likely to appear as the tail, and the proportion of times each side is expected to appear is 1/2.
So when the events A= {1,3,4} B = {2,4,5} are equally likely then suppose their probability is 1/2.
a. P(A) = P(B) <u>True</u>
1/2= 1/2
b. P(A) = 2P(B) <u>False</u>
<u>1/2 is not equal to 1</u>
c. P(A) = 1 - P(B) <u> True</u>
1/2= 1-1/2= 1/2
d. P(A) + P(B) > 1 False
1/2 + 1/2 is not greater than 1
e. P(A) - P(B) < 0 False
1/2-1/2= 0 is not less than 0
f. P(A) - P(B) > 1 False
1/2-1/2= 0 is not greater than 1
Ok, so you have a right angle, a given angle, and a given side for the left triangle. We are going to call angle 47° angle A. So angle A=47°, the side connecting the two triangles is directly opposite A making it side "a". We are calling the right angle C and the hypotenuse (the longest side which is 11) "c". So, Sin A=a/c and since we don't have "a" we multiply both sides by "c" changing it to (c Sin A)=a. 11•Sin(47°)=a
11•(0.7313537016)=a
8.044890718=a
I suppose that the question is 17.5 %.
To increase an amount by a percentage, the multiplier is given by (100 + %)/100
Therefore, to increase an amount by 17.5%,
the single multiplier is given by (100 + 17.5)/100 = 117.5/100 = 1.175
