A keypad at the entrance of a building has 10 buttons labeled 0 through 9. What is the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat?
Answer:
the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat is 0.1
Step-by-step explanation:
We know that probability= number of required outcomes /number of all possible outcome.
From the given information;
the number of required outcome is guessing a 9-digit = 1 outcome
the number of all possible outcome = ¹⁰C₉ since there are 10 numbers and 9 number are to be selected.
Since there are only 9-digit that opens the lock;
the probability of a person correctly guessing a 9-digit entry code is
P = 0.1
3x12 is 36. 50-36 is 14. so the submarine will be at 14 feet below sea level
I don't know. I'll have to figure it out.
Probability =
(number of successful possible results) / (total possible results) .
Total possible results for the spinner . . . 8
Successful ones (getting a 1, 2, 3, 4, or 5) . . . 5
Theoretical probability = 5/8 .
So you expect (5/8 of 150) spins to be successful.
(5/8 times 150) = 93.75
Yes !
93 or 94 is a good answer.
Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then
f⁻¹(f(x)) = x ⇒ (f⁻¹)'(f(x)) • f'(x) = 1 ⇒ (f⁻¹)'(f(x)) = 1/f'(x)
⇒ (f⁻¹)'(b) = 1/f'(a)
Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.
Answer:
Step-by-step explanation:
perimeter = l + b + l + b or 2(l + b)
92 = 19 + 19 + 2b
92 = 38 + 2b
2b = 92 - 38
2b = 54
b = 54 / 2
b = 27
breadth or width of the triangle = 27
length = 19
