Answer:
All in all, Jonathan's piggy bank contains 100 coins. Among these coins, only 50 are one-dollar coins. Therefore, the theoretical probability of picking one-dollar coin from the piggy bank is equal to 50/100 or 1/2.
Similarly, from the experiment, 20 coins were picked and among these there are 12 one-dollar coins. The answer to the second question is therefore 12/20 or 3/5.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be successful is

Jack made 7 out of 15 shots, so the probability that Jack's next shot will be successful is

The probability that they both make their next shot successfully is

Answer:

Step-by-step explanation:
Using right estimation point simply means to form a bunch of rectangles between the two limits, x =2 and x = 5. and add the areas of all those rectangles.
There must be 6 subdivisions between 2 and 5. so, to do that:

the length of each subdivision is 0.5 units. That also means that the 6 rectangles in between the limits will each have the base length of 0.5 units.
So the endpoints of each subdivision from 3 to 5 will be:

By <em>right </em>endpoint approx<em>, </em>we mean that the height of the rectangles will be determined by the right endpoint of each subdivision, that is, it must be equal to the function value of the first limit.

Note that we have used the right-end-point of the subdivision to determine the height the rectangles.
All that's left to do now is to simply calculate the areas of the each of the rectangles. And add them up.
the base of each of the rectangle is 
and the height is determined in the table above.



Using Pythagorean identities:
If the sum of the height and base squared is greater than the hypotenuse squared, it would be an acute triangle.
If the sum of the height and base squared is less than the hypotenuse squared, it would be an obtuse triangle.
If the sum of the height and base squared is equal to the hypotenuse squared, it would be a right triangle.
The height = 10
The base = 24
10^2 + 24^2 = 100 + 576 = 676
The hypotenuse = 27 = 27^2 = 729
Because the sum of the height and base squared (676) is smaller than the hypotenuse squared (729) the triangle is an obtuse triangle.
Answer:
Option B

Step-by-step explanation:
we know that
The surface area of the front side is equal to the area of a square face of the cube plus the area of a right triangle of the triangular prism
so

