A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 2020 times, and the man is asked to predict the outcome in advance. He gets 1515 out of 2020 correct. What is the probability that he would have done at least this well if he had no ESP

Our required probability is 0.0207.

Step-by-step explanation:

Since we have given that

n = 20

He gets 15 out of 20 correct.

Probability of success =

Using 'binomial distribution", we get Probability that he would have done at least this well if he had no ESP,

Hence, our required probability is 0.0207.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )