Classify the two given samples as independent or dependent. Sample 1: The number of homeruns hit by 40 professional baseball players in their rookie season.
Sample 2: The number of homeruns hit by the same 40 professional baseball players in their final season.
a. The two given samples are dependent because the same athletes were sampled.
b. The two given samples are independent because different athletes were sampled.
c. The two given samples are independent because the same athletes were sampled.
d. The two given samples are dependent because different athletes were sampled.

Aboard game uses a fair six-sided die and a spinner with five equal-sized sections colored dark blue, green, light blue, red, and yellow. players roll the die and then spin the spinner. match each probability statement to its correct value.

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2