Answer:
approximately 14.2127 but it could also be simplified to the square root of 2 times the square root of 101
Answer:
2 hours and 44 minutes.
Step-by-step explanation:
In 1 hour, Mary can clean 1/6 of the apartment, while her roommate cleans 1/5 of the apartment. To represent both of them working together, you add both fractions : 1/5 + 1/6 = 11/30. To find out how long it would take, you divide 1 by 11/30. 1/1 ÷ 11/30 = 1/1 × 30/11 = 30/11 hours. Make the fraction a mixed number : 30/11 = 2 8/11. 8/11 ≈ 0.727. Multiply 0.727 with 60 minutes : 0.727 × 60 = 43.62 minutes. Round 43.62 : 44 minutes. Result : 2 hours and 44 minutes.
To turn a mixed number into an improper fraction, multiply the bottom number of the fraction, or the denominator by the whole number, and then add the top number of the fraction to that number. Put the number you get over the denominator For example:
2 1/4⇒ 4 x 2=8 8+1= 9
9/4 would be your improper fraction
Answer:
Roland is right, he can be 95% sure that average gas prices have gone up since the same time last year.
Step-by-step explanation:
Let μ be average gas price around Syracuse.
Then hypotheses are:
μ = $2.68
μ > $2.68
Then test statistic can be calculated as:
z=
where
- X is the Roland's calculated average gas prices of 50 gas stations ($2.74)
- M is the average average gas prices in the entire of Syracuse last year
- s is the standard deviation ($0.11)
Then z=
≈ 3.86
Since P-value of test statistic ≈ 0.00006 <0.05 (significance level), we can reject the null hypothesis.