Answer:
Events E and F are not independent if the probability of event E occurring is affecting the probability of event F occurring.
Step-by-step explanation:
Two events are independent when the probability of one event occurring has no connection with that of the other event.
Example, when you toss a coin and roll a six sided die, the probability of getting a head or a tail has no connection with the probability of getting any number face.A real life example will be the probability going to the mall and owning a cat at home.These two have no influence on one another.
Mathematically independent events can be calculated as;
P(E∩F)=P(E)-P(F)
The final price of the item is $22,644
The initial discount of 10% leaves the price at 90% of the retail value:

cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:

cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644
Answer:
52x < $211
Step-by-step explanation:
If Roland uses $289 to purchase the laptop from the $500 that was given to him then he would be left with
500 - 289 = $211
With this he can purchase video games. Since each video game costs the same price of $52 then we can use the variable x to represent the number of games he can buy with the following inequality...
52x < $211
112 cm² * 6 triangles = 672 cm²
Answer:
The original temperature was -18°F
Step-by-step explanation:
x°F + 24°F = 6°F
or, x°F = 6°F - 24°F
so, x°F = -18°F