Answer:
The (minimum) number of toothpicks required to make an acute angle scalene triangle is 3.
Step-by-step explanation:
The (minimum) number of toothpicks required to make an acute angle scalene triangle is 3.
All the angles in a an acute angled scalene triangle are less than 90°.
The above condition can be satisfied with a minimum of three toothpicks.
Answer:
The chances Gavis get four or more correct problems is 8/11 or 72.72%
Step-by-step explanation:
The exam is composed of 6 problems out of 12 possible cases (Pc=12). There are 2 groups of problems:
The 8 problems that Gavin has the answer (Problems A).
The 4 problems that Gavin hasn´t the answer (problems B).
Therefore:
P(A≥4)= P(A=4) ∪ P(A=5) ∪ P(A=6) = P(A=4) + P(A=5) + P(A=6)
Before we start analyzing the problem, we have to understand that problems in the exam are selected at random, but a problem can´t be selected twice. therefore picking a specific problem will reduce the pool of that specific group and of the total number of available problems.
If we call to the probability of an answer of the X group to be the i° picked problem from the j° picked problem of that group:
with the total number of problems in that group.
We analyze now 3 different problems:
For P(A=4) we can take the solution from P(A=5) and say that:
where "c" is the combinatorial of 2 problems B with 4 problems A. In this case "c" is 15, therefore:
PEMDAS
7+18/(6-3)
7+18/3
7+6
13
<h3>Number of minutes in 3/4 of an hour is :
</h3>
<h3>n = 3/4 × 60 = 45 minutes.
</h3>
<h3>Now, If it continues to rain at that rate for 15 more minutes :
</h3><h3>
</h3><h3>So, time taken = 45 + 15 min = 1 hour.
</h3><h3>
</h3><h3>Let, rain gauge is filled x fraction in 1 hour.
</h3>
<h3>So,
</h3>
<h3>Hence, this is the required solution.</h3>
Answer:122 inches or 10 feet and 2 inches
Step-by-step explanation:
One foot is 12 inces so you just convert the feet to inches and add them together.