The probability that a driver will get stopped by a red light in Grayson is 0.15. Assuming redlights are independent of each other, what is the probability that Taylor will get stopped by the 2 red lights she passes on the way to school.

0.0225

Step-by-step explanation:

GIven two events A and B that are independent (=their occurrence does not depend on the other event), the probability that both events occur is given by the product of the individual probabilities:

where

is the probability that event A occurs

is the probability that event B occurs

In this problem, we can call:

A = the driver get stopped by a red light at the 1st traffic light

B = the driver get stopped by a red light at the 2nd traffic light

The probabilities are

So, the probability that Taylor will get stopped by both the 2 red lights is

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

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).