# Tutor profile: Tyra S.

## Questions

### Subject: Chemistry

A sample of argon gas at STP occupies 56.2 liters. Determine the number of moles of argon and the mass in the sample.

1) Rearrange PV = nRT to this: n = PV / RT 2) Substitute: n = [ (1.00 atm) (56.2 L) ] / [ (0.08206 L atm mol¯1 K¯1) (273.0 K) ] n = 2.50866 mol 3) Multiply the moles by the atomic weight of Ar to get the grams: 2.50866 mol times 39.948 g/mol = 100. g (to three sig figs like you started with)

### Subject: Statistics

Write the null and alternative hypotheses the data set below. Then use the null and alternative hypotheses created for the data set and to run a hypothesis test. This should include the sample mean, standard deviation, critical value, p-value, and conclusion. Ratings for Sushi Tango in Woodbury, MN. 3 1 1 4 2 1 1 4 4 4 4 3 1 3 2 2 3 4 1 3

H0: μ = 3 Ha: μ ≠ 3 Sample mean: 2.55 Standard deviation: 1.234 Alpha value: 0.05 T- critical values: +/- 2.09 P-value: 0.1195 Standardized test statistic: -1.63 Conclusion: Since the standardized t statistic is not within the rejection region of t<-2.09 and t>2.09 then we fail to reject the null hypothesis. So with 5% significance, there is insufficient evidence to reject the claim.

### Subject: Algebra

Solve for t. 1/5t + 1/3t = 1

1/5t + 1/3t = 1 *Multiply both sides by 15 3t + 5t = 15 *add t values together 8t = 15 *divide to get t alone t = 15/8

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