Rohan, a student of Class IX book a ola cab

for travelling the tourist places of Jaipur

city. The taxi fare in a city is as follows.

Fare for the first km is 8 and for the

subsequent distance it is 75 per km. Then,

answer the following questions.

(i) Consider the distance covered as x km

and the total fare as y, write a linear

equation for this information.

(a) 5x + y + 3 = 0 (b) 5x - y - 3 = 0

(c) 5x - y + 3 = 0 (d) 9x + y + 3 = 0​

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?