Matthew has decided it is time to purchase a new car. He has shopped around and decided which car he would like to purchase. The price of the car Matthew wants to purchase is $18,000. This price includes all fees associated with the purchase of a vehicle, such as title and registration fees; however, the price does not include the required sales tax. In Texas, the sales tax rate for automobiles is 6%.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).

In the diagram, gef and hef are congruent. what is the value of x

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups