An archaeologist uses an accelerator mass spectrometer to find the age of a buried branch. At the 68\%68%68, percent confidence

Answer:c

Step-by-step explanation:

Response:

The more trials conducted, the stronger the observed theoretical trend becomes

Stepwise explanation:

Firstly, we need to define the probabilities,

-Theoretical probability quantifies success versus total possible outcomes of an experiment.

-Experimental probability calculates the ratio of the desired outcome relative to the total attempts made in the experiment.

Accordingly, the reasoning that best supports this is that as the experiment is repeated, the experimental probability aligns more closely with the theoretical probability, because repetition increases the likelihood of achieving predicted results.

Answer:

5.25ft below the waterline

Step-by-step explanation:

1. I entered the given equation into a graphing calculator (I use Desmos) and substituted "t" with "x" since it’s easier that way.

2. A graph appeared. To find the initial position of the paddle, I checked where it was at t=0, which is the y-intercept. It shows it’s at -5.25, indicating it sits 5.25 below the surface of the water.

Response:

0.14 s

Detailed breakdown:

s = -2.7 t² + 40t + 6.5

Set s = 12

12 = -2.7t² + 40t + 6.5     Rearranging yields

-2.7t² + 40t + 6.5 - 12 = 0

      -2.7t² + 40t - 5.5 = 0

Utilize the quadratic formula

a = -2.7; b = 40; c = -5.5

x = 7.41 ± 7.27

x₁ = 0.14; x₂ = 14.68

The graph indicates roots at x₁ = 0.134 and x₂ = 14.68.

The surface of the Moon stands at -12 ft. Thus, the ball will reach a height of 12 ft above the Moon’s surface (crossing the x-axis) at 0.14 s.

The second root indicates when the ball is again 12 ft above the lunar surface as it descends.

The total letters present in the entire world (MATH) = 4

the count of favorable results = 10

therefore, the chance of selecting the letters (MATH) is 2/5