The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).

There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.
The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.
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Step-by-step explanation:
x - y + 5z = 29
y + 2z = 4
z = 7
since z = 7 we can use this value in second equation
y + 2×7 = 4 and y = -10
now we know the value of y we can solve the first equation
x -(-10) + 5×7 = 29
x + 10 + 35 = 29
x = -11
Answer:
y=3
Step-by-step explanation:
3 (3y - 9) = 0
Divide each side by 3
3/3 (3y - 9) = 0/3
3y -9 = 0
Add 9 to each side
3y -9+9 = 0+9
3y =9
Divide by 3
3y/3 = 9/3
y =3
Answer:
Using the inverse composition rule you know that if (fog)=x and (gof)=x then the functions are inverses.
(
g
o
f
)
=
(
7
x
+
1
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−
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7 this will result in (gof)=x
(
f
o
g)
=
7
x
−
1
7
+1
=
x
−
1
+
1
=x
graphically you can check this if it seems that the functions are reflected over the line x=y.
Step-by-step explanation: