Answer:
work is shown and pictured
Step-by-step explanation:
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The number of members is n = 15
Generally the number of ways of selecting two member from the fifteen members is mathematically represented as

Here C stands for combination hence we will be making use of the combination functionality in our calculator

=> 
=> 
Gnerally the number of outcome that matches the outcome required by the committee(Which is reselecting the member who where the chairman and vice chairman of the board ) is m = 1
Generally the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and assigning them to their current positions is mathematically represented as

=> 
=>
=>
What we know about this situation that either she will take less than 37 minutes:
r<37
or she will take more than 42 minutes
r>42
so it means that she cannot take between 37 and 42 minutes.
The best way to write it is:
37>r v r>42
where "v" means "or" in mathematical notation
Answer:
278 square centimeters
Step-by-step explanation:
You need to use the Pythagorean Theorm. If you're pyramid is a perfect square, then to the middle the length is 5. Because 10/2 is 5. You then use the Pythagorean Theorm (a^2 + b^2 =c^2) to find the side length of the traingle. When you square the hypotenuse and subtract the bottom leg sqaured, you are left with 3.46274054 after square rooting it. (c^2-a^2=b^2) Plug these into the equation for a right, rectangluar pyramid. You then get 277.9, rounded, is 278.
Hope this helps!