Answer:
50%
Step-by-step explanation:
Finding the probability of a single die roll requires little effort.
First, remember that by definition, a prime is an integer with precisely two factors: 1 and the number itself (which is why 1 does not qualify: it has only one factor). The numbers from 6 on down that fit the bill are 2,3,5. Since there are six sides, your answer is:
P(prime) = 3/6 = 1/2 = 50%
Answer:
acute angles
Step-by-step explanation:
heres how i remember what angles they are, acute are small, obtuse is big, and right angles stand up right, like a 90 degree angle.
Answer:
A special drill is used at a construction site to dig holes. A hole is dug to a depth of 2.75 feet when the drill hits rock. The progress slows to 5/6 feet per hour of digging. The depth of the hole must be at least 10 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the drill must continue at its present rate to complete the hole on schedule? Select from the drop-down menus to correctly complete the statement.
Answer:
The probability that the sum of the numbers rolled will equal 4 is ![\frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D)
Step-by-step explanation:
Total possible outcome is 36
The sample space for the dice is shown below
![\left[\begin{array}{cccccc}1,1&1,2&1,3&1,4&1, 5&1,6\\2,1&2,2&2,3&2,4&2, 5&2,6\\3,1&3,2&3,3&3,4&3, 5&3,6\\4,1&4,2&4,3&4,4&4, 5&4,6\\5,1&5,2&5,3&5,4&5, 5&5,6\\6,1&6,2&6,3&6,4&6, 5&6,6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%2C1%261%2C2%261%2C3%261%2C4%261%2C%205%261%2C6%5C%5C2%2C1%262%2C2%262%2C3%262%2C4%262%2C%205%262%2C6%5C%5C3%2C1%263%2C2%263%2C3%263%2C4%263%2C%205%263%2C6%5C%5C4%2C1%264%2C2%264%2C3%264%2C4%264%2C%205%264%2C6%5C%5C5%2C1%265%2C2%265%2C3%265%2C4%265%2C%205%265%2C6%5C%5C6%2C1%266%2C2%266%2C3%266%2C4%266%2C%205%266%2C6%5Cend%7Barray%7D%5Cright%5D)
From the above sample, the event of sum equals 4 is:
(1, 3)
(2, 2)
(3, 1)
Number of outcome with sum equals 4 is 3
![Probability = \frac{number of possible outcome}{number of total outcome} \\Probability = \frac{3}{36} = \frac{1}{12}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7Bnumber%20of%20possible%20outcome%7D%7Bnumber%20of%20total%20outcome%7D%20%5C%5CProbability%20%3D%20%5Cfrac%7B3%7D%7B36%7D%20%20%3D%20%5Cfrac%7B1%7D%7B12%7D)
The probability that the sum of the numbers rolled will equal 4 is ![\frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D)
The first step is to order the numbers in ascending order:
15, 33, 39, 48, 67, 80, 90
to find quartiles, split the data into two. the first quartile is the median of the bottom half. (second quartile is median of the whole unit, and third q is median of the top half)
i.e. the median of 15, 33, 39
which is 33 :)