The dot plot shows the results of two random samples measuring the mean time, in hours, spent working out in a given week. Which statement is true?

a
The slight difference in the distributions indicates that the training did not significantly change the students' race times.
b
The mean time the students took to finish the 30 free-throws decreased by about 3 seconds after training.
c
The mean time the students took to finish the 30 free-throws increased by about 3 seconds after training.
d
The significant difference in the distributions indicates that the training did not significantly change the students' race times.

Step-by-step explanation:

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'.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)