We have 5 digit pin code plots and 8 choices per slot. Because repetition is allowed (1 digit can have 8 choices) so we multiply out the number of choices per slot . Hence:

8*8*8*8*8 = $8^{5} = 32768$

So there are 32768 different combination.

But correct guess on the first try is just only 1 time, so its' probability:

1/32768

7 0

3 years ago

After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third

irinina [24]

Answer:

The 3rd term is

$ar^2$

Step-by-step explanation:

From the given information, the first term of the sequence is

$a_1=a$

The common ratio of the sequence is

$r$

The explicit formula for a geometric sequence is :

$a_n=a_1(r^{n-1})$

To find the third term, we put n=3 to get:

$a_n=a(r^{3-1})$

This simplifies to:

$a_3=ar^2$

7 0

3 years ago

Simplify (4x - 6) + (5x + 1). (2 points)

Llana [10]

Answer:

9x-5

Step-by-step explanation:

(4x-6)+(5x+1)

remove parentheses

4x-6+5x+1

collect like terms

9x-5

3 0

3 years ago

Read 2 more answers

The numeral 16 is a _____ of 4 because it is the product of a given number sbd any whole number

S_A_V [24]

Answer:

perfect square

Step-by-step explanation:

A perfect square is a number multiplied by itself:

16 = 4^2 = 4 * 4

5 0

2 years ago