A family went to Sal's Burger Joint and ordered 3 hotdogs and 4 cheeseburgers for $19.50. A different family ordered next, getting 5 hot dogs and 7 cheeseburgers for $33.50. What is the cost of 1 hotdog? State your answer as a price with a dollar sign and 2 decimal places. For example: $4.00

$3.30

Step-by-step explanation:

                                  19.50

                   19.50 divided by 2 is 9.75

      represents burgers                   represents hotdogs

  9.75 dived by 4 is 2.43               9.75 dived by 3 is 3.25

              2.43                                                   3.25  

              2.43                                                   3.25

              2.43                                                   3.25

              2.43                          

                                    33.50

                 33.50 divided by 2 is 16.75

represents cheeseburgers        represents hot dogs

16.75 divided by 7 is 2.39      16.75 divided by 5 is 3.35

               2.39                                          3.35

               2.39                                          3.35

               2.39                                          3.35

               2.39                                          3.35

               2.39                                          3.35

               2.39  

               2.39  

so the hot dog prices were 3.25 and 3.35 sooo.. we round them together its $3.30

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

step-by-step explanation: