Problem-Solving and Data… | SAT Math Section

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Mar 28, 2024

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In State X, Mr. Camp's eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth-grade class size in the state is 26. If the students in Mr. Camp's class are representative of students in the state's eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth-grade students in the state who have fewer than two siblings?

Difficulty: Hard

16,200

23,400

30,600

46,800

During a sale, the original prices of all the items in a clothing store have been reduced by 20%. What is the sale price of a jacket with an original price of $50 ?

Difficulty: Easy

$12

$30

$36

$40

For a particular machine that produces beads, 29 out of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has a defect?

Difficulty: Easy

\frac{1}{2,900}

\frac{1}{29}

\frac{29}{100}

\frac{29}{10}

To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is 0.49. As with an associated margin of error of 0.04. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?

Difficulty: Medium

It is plausible that the proportion is between 0.45 and 0.53.

It is plausible that the proportion is less than 0.45.

The proportion is exactly 0.49.

It is plausible that the proportion is greater than 0.53.

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