(a) The car pulls the caravan with a resultant force of 170 N for a distance of 110 m . (i) State the equation linking work done, force and distance. Wore \( =\mathrm{F} \times \mathrm{S} \) (ii) Calculate the work done by the car on the caravan. Work \( =170 \times \angle C O= \)

A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 20.3 pounds and a standard deviation of 3.7 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 94 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.

a) \( \frac{3}{4}+\frac{7}{6}+\frac{9}{12} \frac{3+1}{4+1} \) b) \( \frac{7}{5}-\frac{2}{9} \frac{7-2}{5-9}=\frac{5}{4} \) c) \( \frac{2}{3}+\frac{5}{7}+\frac{3}{2} \frac{2+5}{3+7} \) D) \( \frac{3}{8}+\frac{5}{24}+\frac{1}{6}+ \)

Suppose \( 46 \% \) of politicians are lawyers. If a random sample of size 662 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by more than \( 4 \% \) ? Round your answer to four decimal places.

Solve the system of equations by the substitution method. \( \left\{\begin{array}{l}10 x+2 y=8 \\ -5 x=y+10\end{array}\right. \) Select the correct choice below and, if necessary, fill in the answer box to complete your choic A. The solution is (Type an ordered pair. Simplify your answer.) B. There are infinitely many solutions; \( \{(x, y) \mid 10 x+2 y=8\} \) or \( \{(x, y) \mid-5 x=y+10\} \). O. There is no solution; \( \{ \) or \( \varnothing \).

Step 1 of 2: Given the following parameters for a sampling distribution of sample proportions, calculate the sample proportion. Round your answer to two decimal places. \[ p=0.46, x=82, n=200 \]