Astatistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.049.0 and 59.059.0 minutes. find the probability that a given class period runs between 50.2550.25 and 51.051.0 minutes.

0.075

Step-by-step explanation:

Let X be the length of a class of the statistics professor. Then, the probability density  function of X is given by

for x in the interval [49, 59]

because the lengths of her classes are uniformly distributed between 49 and 59 minutes.

We find the probability that a given class period runs between 50.25 and 51.0 minutes,

in the following way

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'.