The probability of randomly selecting a nickel from a bag of 50 coins is . Which of the following describes the likelihood of selecting a nickel?

A.
unlikely
B.
neither unlikely nor likely
C.
likely

B. Neither unlikely nor likely

Abby stacked two cube-shaped blocks, as shown below, and plans to paint the figure for an art project.

What is the surface area of the figure if s = 3 inches?

To find the surface area of the figure, we need to calculate the area of each face and add them together.

Since it is a cube, all the faces are square. The area of one face is equal to the length of the side squared.

In this case, the length of each side is s = 3 inches.

The surface area of one face is 3^2 = 9 square inches.

Since there are six faces, the total surface area is 6 * 9 = 54 square inches.

Therefore, the surface area of the figure is 54 square inches.

A frozen yogurt shop conducted a survey in which it asked every fourth customer for his or her favorite flavor. Most of the customers surveyed preferred vanilla yogurt, so the shop concluded that the customers' favorite flavor is vanilla. Is this a valid conclusion?

No, this is not a valid conclusion. The survey method used, asking every fourth customer, introduces bias into the results. It is possible that the ordering of customers may have influenced the preference for vanilla yogurt. To make a valid conclusion about the customers' favorite flavor, a more random and representative sampling method should be used, such as randomly selecting customers or using a larger sample size.

A frozen yogurt shop conducted a survey in which it asked every fourth customer for his or her favorite flavor. Most of the customers surveyed preferred vanilla yogurt, so the shop concluded that the customers' favorite flavor is vanilla. Is this a valid conclusion?

A.
No. Since it was a biased sample, it is most likely not representative of the population.

B.
Yes. Since it was a random sample, it is most likely representative of the population.

C.
Yes. Since it was a biased sample, it is most likely representative of the population.

D.
No. Since it was a random sample, it is most likely not representative of the population.

A. No. Since it was a biased sample, it is most likely not representative of the population.