Which statement is true of normally distributed data ? ? a. approximately 68% of the data falls within 2 standard deviations (+-2) of the mean b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean c. approximately 75% of the data falls within 2 standard deviations (+-2) of the mean d. approximately 75% of the data falls within 1 standard deviation (+-1) of the mean

The correct option is b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean

Explanation:

According to the empirical rule of normal distribution:

1. Approximately 68% of the data falls within 1 standard deviation of the mean

2. Approximately 95% of the data falls within 2 standard deviations of the mean

3. Approximately 99.7% of the data falls within 3 standard deviations of the mean.

Therefore, among the given options, only option b adheres to the empirical rule of the normal distribution. Therefore, the option b is correct

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.