To begin, we can simplify the expression's denominator by finding a common denominator between the denominators of the fractions in the denominator. To make them compatible, we can convert
into
:
Next, we can simplify:
Finally, to cancel the denominator within the denominator, we can multiply the whole expression by
, or 1:
The expression simplifies to
, or
as a mixed number.
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%
Answer:
Step-by-step explanation:
Given that the number of orders received daily by an online vendor of used CDs (say X) is normally distributed with mean 270 and standard deviation 16.
X is N(270, 16)
To find percentage of days will the company have to hire extra help or pay overtime, we can find probability using std normal table
X>302 means
P(Z>2) = 0.25
Thus 25% of days will the company have to hire extra help or pay overtime
We know that
<span>An asphalt driveway </span>has the shape of a rectangle
so
area of rectangle=long*wide
area=21*10.5-----> 220.5 ft²
the answer is
220.5 ft²
