3sqrt(2)
You can either use Pythagorean theorem or special triangle proportions to find the side that is parallel to z. Since in a 45-45-90 degree triangle, the hypotenuse is the leg times the square root of 2, and the hypotenuse is 3, we know that the leg is 3/sqrt(2) which is equal to 3 sqrt(2) / 2. Since z is twice this length, we know that z is equal to 2 x 3sqrt(2)/2 = 3sqrt(2)
To solve this problem, let us recall that the formula for
probability is:
Probability = total number of successful events / total
events
Where in this case, an event is considered to be successful
if the sum is 3 on the pair of six sided dice.
First, let us calculate for the total number of events. There
are 6 numbers per dice, therefore the total number of combinations is:
total events = 6 * 6 = 36
Next, we calculate for the total number of combinations
that result in a sum of 3. We can identify that there are only two cases that
result in sum of 3. That is:
1st case: first dice rolls 1, second dice
rolls 2
2nd case: first dice rolls 2, second dice
rolls 1
Hence, total number of successful events = 2. Therefore the
probability is:
Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%
Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 =
Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head =
Therefore, probability of rolling a 6 and tossing a head =
Hey there!
In order for you to find the one that is equivalent to the given expression is to COMBINE YOUR LIKE TERMS then work from there!
12q + q^2 - 8 + q = ?
(q^2) + (12q + q) + (-8)
q^2 = q^2 since it doesn't have any like term(s)
12q + q = 12q + 1q = 13q
-8 = -8 since it doesn't have any like term(s)
Put all the numbers we solved for in An equation and Thats your answer!
If you did it correctly you should have: q^2 + 13q - 8
Answer: q^2 + 13q - 8 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
