You randomly select a card from a 52-card deck. find the probability of selecting an ace or a jack

There are 4 aces and 4 jacks. So there are 4+4 = 8 cards that we want. This is out of 52 cards total.

Divide and reduce: 8/52 = 2/13

The answer as a fraction is 2/13

In decimal form, the answer is approximately 0.1538 which converts to 15.38%

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is