Answer:
a) The number of possible codes is 16384
b) The probability of entering the code on the firs ttry is 1/16384
Step-by-step explanation:
a) For each of the four digits we have 7 possibilities and the number of one digit doesnt make restrictions on the others, thus, we have to power 4 a total of 7 times. The number of codes available is 4⁷ = 16384
b) There is only 1 code favourable over a total of 16384, as a consequence, the probability of enter the code correctly is 1/16384
Simplify terms, then move the terms over so 'y' is by itself.
-7y-0.6=3.6-y
-0.6-3.6=-y+7y
-4.2=6y
y=-4.2/6
y= -0.7
Answer:
417.
Step-by-step explanation:
The multiplier is 1.0925.
After 3 hours the population is 320 * 1.0925^3
= 417.27
Answer:
Step-by-step explanation:
If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:
Here the machines are constant and the rate is x toys per hour:
If 5 machines make x per hour:
Rate is x/1 hour
The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:
Rate for 5 machines is x and for 8 machines is y:
Answer:
8 ounces of almonds
Step-by-step explanation: