You pick 6 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have written the first 6 digits of your phone number? assume there are no repeats of digits in your phone number.

1/151200

Step-by-step explanation:

The number of ways to pick an exact order of any 6 different numbers from 10

=

= 10×9×8×7×6×5 = 151200 ways

which means the first one can be any of 10 numbers

The second one can be any of 9 numbers

The 3rd one can be any of 8 numbers and so on

Now the 6th one can be any of 5 numbers

Thus there are  10×9×8×7×6×5 = 151200 ways  to choose the number

so the required probability is 1/151200

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).