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

$P =\dfrac{1}{^{10}C_9}$

$P =\dfrac{1}{\dfrac{10!}{9!1!}}$

$P =\dfrac{1}{10}$

P = 0.1

3 0

3 years ago

Can anyone help me ?<br> Find the missing angle measure.

jeyben [28]

Answer:

x° = 99°

Step-by-step explanation:

The polygon is a hexagon and the sum of its internal angles is:

$180(n-2)=180(6-2)=180(4)=720^{0}$

subtract the 5 known angles:

$x^{0} =720-145-164-59-132-121=99^{0}$

Hope this helps

4 0

3 years ago

Please help! (i’ll give brainiest answer)

scoundrel [369]

To move it up 4 you would add 4 at the end of the equation
the tricky part is to get it shifted 1 place to the left

do do this you need to add 1 to X before raising it to the 3rd power

so F(x) is (x+1)^3 +4

3 0

3 years ago

Consider m= y2-y1 x2 - x1 which x1 and x2-values would determine that he line is vertical? Justify your answer

Sedaia [141]

Answer:

Step-by-step explanation:

hello :

m= (y2-y1)/( x2 - x1) is the slope

this line is verticalwhen : x2 = x1

4 0

3 years ago