The ages of the members of a gym have a bell-shaped distribution with a mean of 48 years and a standard deviation of 11 years. based on the empirical rule, what should you predict about the percentage of gym members aged between 26 and 70?

Based on the empirical rule, we could predict that the percentage of gym members aged between 26 and 70 is about 95%

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

Empirical Rule of Normal Distribution :

where:

= mean

= standard deviation

The ages of the members of a gym have a bell-shaped distribution with a mean of 48 years and a standard deviation of 11 years.

and

The percentage of gym members aged between 26 and 70 :

Based on Empirical Rule we can conclude that :

The percentage of gym members aged between 26 and 70 will be approximately 95%

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Normal , Distribution , Bell - Shaped , Empirical Rule , Prediction , Standard Deviation , Mean , Gym , Members , Ages , Rule , Average

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

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.