Lara found the volume of a sphere with a diameter of 10. V = 4
3
π(103)

1. V = 4
3
π(1000)

2. V = 4000
3
πunits3

Analyze Lara’s work. Is she correct? If not, what was her mistake?
Yes, she is correct.
No, she used the diameter instead of the radius measure.
No, she should have multiplied 4 and 10 first before applying the exponent.
No, her units should be squared for volume.

Factor out the greatest common factor. minus − 14 14p3 plus + 10 10p2 plus + 4 4p

Heights of men on a baseball team have a bell-shaped distribution with a mean of 177 cm and a standard deviation of 6 cm. using the empirical rule, what is the approximate percentage of the men between the following values? a. 159 cm and 195 cm b. 165 cm and 189 cm a. 89% of the men are between 159 cm and 195 cm. (round to one decimal place as needed.) b. 89% of the men are between 165 cm and 189 cm. (round to one decimal place as needed.)

Layer r contains a well-known index fossil that is 100 million years old. based on this information and the principle of superposition, a. layers t and m are older than 100 million years, and layers x and g are younger than 100 million years. b. layers t, m, x, and g are all older than 100 million years. c. layers t and m are younger than 100 million years, and layers x and g are older than 100 million years.