Answer:
5 edges and 4 vertices
Step-by-step explanation:
Answer with explanation:
Let us assume that the 2 functions are:
1) f(x)
2) g(x)
Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that
Now the sum of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus
Thus the sum of the 2 functions is also a concave function.
Part 2)
The product of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.
If Tom throws the dart 30 times, the denominator of the fraction would be 30, as that is the total number, and if he actually hits the target 20 times, that would be the nominator of the fraction as that is the amount out of the total that he hits the target. So if the fraction is 20/30 for the times he hits the target, we can say that 10/30 is the fraction (or probability) that he will miss. We can simplify the fraction by dividing 10 on both sides, getting 1/3. On the bottom the question with the die has 3 scenarios, hit, miss, or neither. it misses when it is 5 or 6, it hits when the die is 1 or 4, and when the die is 2 or 3, nothing happens. as a die has 6 sides, the denominator is 6, and as there is 2 scenarios where you miss the numerator is 2. The fraction or probability for this one, would be 2/6 or 1/3. Using the same math for the following, you can get 1/3 for the die, 1/3 for the first spinner, 1/5 for the first number generator, 1/3 for the second number generator, and 1/3 for the second spinner. As the original part with Tom has a probability of 1/3, we are looking for equal probability, so the correct simulations would then be the die, the first spinner, the second number generator, and the second spinner, while the rest would be incorrect. Hope this helps!<span />
Answer:
A picture of the problem might help
