Answer:
(a) 0.0001 or 0.01%
(b) 0.01 or 1%
Step-by-step explanation:
Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.
The probability that if you forget your PIN, then you can guess the correct sequence
(a) at random:

(b) when you recall the first two digits.

Answer: 3
Step-by-step explanation:

Answer:
60 minutes for the larger hose to fill the swimming pool by itself
Step-by-step explanation:
It is given that,
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.
takes 30 minutes for the larger hose to fill the swimming pool by itself
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
<u>To find LCM of 20 and 30</u>
LCM (20, 30) = 60
<u>To find the efficiency </u>
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
x = 60/30 =2
x + y = 60 /20 = 3
Therefore efficiency of y = (x + y) - x =3 - 2 = 1
so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes
Shown in the graph
<h2>
Explanation:</h2>
Using graph tools we can graph the function:

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:


Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it
) will be:

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

<h2>
Learn more:</h2>
Cubic function: brainly.com/question/13773618#
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