A letter from the word CONFIDENCE is chosen at random, then a card is drawn from a standard deck. What is the probability of getting a consonant, them a red card or ace.

9/26

Step-by-step explanation:

Word : CONFIDENCE

Consonants in word : C, N, F, D, N, C = 6

Total alphabets = 10

Probability =required outcome /Total possible outcomes

Probability (consonants) = 6 /10 = 3/5

Number of red catds in deck = 26

Number of aces in a card deck = 4

Total number of cards = 52

P(red) or P(ace)

(4/52) + (26/52) = (4 + 26) / 52 = 30 / 52 = 15 / 26

P(getting a consonant, then a red card or ace)

(3 /5) * (15/26) = (3 * 15) / (26 *5) = 45/130 = 9/26

chicken nugget stir fry

step-by-step explanation:

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.