This table shows the colours of the 4 scarves, 3 pairs of gloves, and 2 hats that Tamara has. Tamara randomly picks a scarf, hat, and a pair of gloves. What is the probability of Tamara choosing a pair of black gloves and a brown scarf? Scarf Gloves Hat
Red Black White
White Brown Red
Brown Red
Black

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1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

1 liter of pineapple juice was made i think.

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