Total cards in a deck=52
Face cards =12
So probability of picking a face card is 12/52=3/13
Because probability of an event =chances of favourable outcomes/total number of outcomes
Answer: -2a + 16
Step-by-step explanation:
You must do the distributive property. Since "a-8" is in the parenthesis and -2 is outside the parenthesis, you must multiply -2 by (a-8). -2 multiplied by a will equal 2a since you don't know what variable a equals. Next, you multiply -2 and -8 which would equal positive 16. The reason why it is positive is because 2 negative numbers multiplied or divided would equal a positive number. Thus, the answer is -2a + 16.
The plane meets the sphere in the cylinder

In spherical coordinates, the plane has equation

and since

the cylinder has equation

The plane and cylinder thus meet when

So, the volume of the region is given by

Answer:
-8
Step-by-step explanation:
remove parentheses and change the sign
-15+7
=-8