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Home
SAT
Math Section
Problem-Solving and Data Analysis

Set - 4

Premium Content

Chief Editor

Mar 27, 2024

0

Table of Contents

$The cost of a certain shirt is $20 before a 5% sales tax is added. What is the total cost, including sales tax, to purchase the shirt?$
$A park ranger asked a random sample of visitors how far they hiked during their visit. Based on the responses, the estimated mean was found to be 4.5 miles, with an associated margin of error of 0.5 miles. Which of the following is the best conclusion from these data?$
$For the finale of a TV show, viewers could use either social media or a text message to vote for their favorite of two contestants. The contestant receiving more than 50% of the vote won. An estimated 10% of the viewers voted, and 30% of the votes were cast on social media. Contestant 2 earned 70% of the votes cast using social media and 40% of the votes cast using a text message. Based on this information, which of the following is an accurate conclusion?$
$$\begin{tabular}{|c|c|c|} \hline<br/>**Value** & **Data set A frequency** & **Data set B frequency** \\ \hline<br/>30 & 2 & 9 \\ \hline<br/>34 & 4 & 7 \\ \hline<br/>38 & 5 & 5 \\ \hline<br/>42 & 7 & 4 \\ \hline<br/>46 & 9 & 2 \\ \hline \end{tabular}$<br/><br/>Data set A and data set B each consist of **27** values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?$
$Which of the following is true about the values of $2^{X}$ and<br/><br/>$2x+2$ for $x>0$?$
$A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is created by adding 7 to each number in the original data set that is greater than the median and subtracting 7 from each number in the original data set that is less than the median. Which of the following measures does NOT have the same value in both the original and new data sets?$
$$\begin{tabular}{|c|c|c|c|c|} \hline & \multicolumn{4}{c|}{**Grade level**} \\ \cline{2-5}<br/>**Mascot** & **Sixth** & **Seventh** & **Eighth** & **Total** \\ \hline<br/>**Badger** & 4 & 9 & 9 & 22 \\ \hline<br/>**Lion** & 9 & 2 & 9 & 20 \\ \hline<br/>**Longhorn** & 4 & 6 & 4 & 14 \\ \hline<br/>**Tiger** & 6 & 9 & 9 & 24 \\ \hline<br/>**Total** & 23 & 26 & 31 & 80 \\ \hline \end{tabular}$<br/><br/>If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion?$
$The ratio of $t$ to $u$ is 1 to 2, and $t=10$. What is the value of $u$?$
$During the first month of sales, a company sold 1,300,000 units of a certain type of smartphone. During the same month, 15% of the units sold were returned. If sales and the return rate remain the same for each of the next 5 months, about how many units of this smartphone will be returned to the company during this 6-month period?$
$Last year, 200 students enrolled in an interior design program. This year, the number of students enrolled is 147% of last year's number. How many students are enrolled in the interior design program this year?$

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The cost of a certain shirt is $20 before a 5% sales tax is added. What is the total cost, including sales tax, to purchase the shirt?

Difficulty: Easy

Bookmark

A:

$20.05

B:

$20.50

C:

$21.00

D:

$25.00

View Solution Steps