Let's handle this case by case.
Clearly, there's no way both children can be girls. There are then two cases:
Case 1: Two boys. In this case, we have 13 possibilities: the first is born on a Tuesday and the second is not (that's 6 possibilities, six ways to choose the day for the second boy), the first is not born on a Tuesday and the second is (6 more possibilities, same logic), and both are born on a Tuesday (1 final possibility), for a total of 13 possibilities with this case.
Case 2: A boy and a girl. In this case, there are 14 possibilities: The first is a boy born on a Tuesday and the second is a girl born on any day (7 possibilities, again choosing the day of the week. We are counting possibilities by days of the week, so we must be consistent here.), or the first is a girl born any day and the second is a boy born on a Tuesday (7 possibilities).
We're trying to find the probability of case 1 occurring given that case 1 or case 2 occurs. As there's 13+14=27 ways for either case to occur, we have a 13/27 probability that case 1 is the one that occurred.
Answer:
-4 5/12
Step-by-step explanation:
-23/3 + (-11/2) + 35/4
<em>Find a common denominator (12).</em>
-92/12 + (-66/12) + 105/12
<em>Reform the equation to have this as a single fraction.</em>
(-92 + (-66) + 105)/12
<em>Subtract 66 from -92 to get -158.</em>
(-158 + 105)/12
<em>Add 105 to -158 to get -53.</em>
-53/12
<em>Convert into a mixed number by dividing by 12.</em>
-4 5/12 (Choice A) is your answer.
Answer:
Area = 1/2ab sinc
Step-by-step explanation:
the area is given by two sides subtending an angle directly opposite a third side
The equation x° = 180° - (37°+ 53°) can be used to find the value of x.
Step-by-step explanation:
Step 1; There are three lines in the given diagram. There are a baseline and two other lines. Out of the other two lines, one extends above and below the baseline whereas the other extends only above. Since the baseline is horizontal and the others are at angles we have the sum of all the three angles as 180° i.e. 37°, x°, and 53°.
37° + x° + 53° = 180°.
Step 2; To solve the value of x, we keep the unknown value at the left-hand side whereas all the known values are taken to the right side of the equation.
x° = 180° - (37°+ 53°).
So the fifth option can be used to determine the value of x.
Answer: 10
Step-by-step explanation:
4+ 3x (10 - 2^3)
4+ 3x (10 - 8)
4+ 3x 2
4 +6 = 10
