Probability is calculated by comparing the odds to a certain event occurring to the number of possible events.

P= $\frac{possibility-of-an-event-occuring}{number-of-total-outcomes}$

For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.

P(4)=1/6

Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:

1
2
3
4
5
6

Of the 6 possibilities, 3 are even numbers.

P(even)=3/6 or 1/2

6 0

3 years ago

Find the area of the shaded region

ale4655 [162]

Answer:

379.56ft²

Step-by-step explanation:

Oh lordy why, okay we got this:

So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):

25 x 25 = 625

Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):

25 ÷ 2 = 12.5

12.5² = 156.25

3.14 x 156.25 = 490.625‬

Normally we would stop here, but because this is only a semicircle, we have to divide by two:

490.625‬ ÷ 2 = 245.3125‬

So, now that we have our two areas, we have to subtract the semicircle from the square:

625 - 245.3125‬ = 379.6875‬

Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56

So, the area of the figure is 379.56ft²

if this is wrong let me know so I can fix it

hope this helps:)

5 0

3 years ago

Express the product in simplest form.

Romashka [77]

$\frac{8}{2x+8} * \frac{ x^{2}-16 }{4}$

1. Cross cancel
$\frac{4}{2x+8}* \frac{ x^{2} -16}{1}$

2. Multiply numerators
4*x²-16 = 4x²-64

3. Multiply denominators
2x+8*1 = 2x+8

$\frac{4 x^{2} -64}{2x+8}$

4. Divide
$\frac{4 x^{2} -64}{2x+8} = 2x-8$

5. Simplify
2(x-4)

Answer is 2(x - 4)

4 0

3 years ago