Javi has a bag of marbles that are identical in size. He has 6 red, 4 blue, 7 yellow, and 3 orange marbles. Javi conducted a probability investigation by drawing a marble out of a bag without looking, recorded the color in the chart below, and returned the marble. Which of the following statements are true? Based on the experimental data, Javi is expected to draw a red marble 30 times out of 100.

Based on the experimental data, Javi is expected to draw a yellow marble 70 times out of 200 draws.

Based on the theoretical probability, Javi is expected to draw a blue marble 40 times out of 150.

Based on the theoretical probability, Javi is expected to draw an orange marble 50 time out of 250 draws.

2/3

step-by-step explanation:

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.