The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 404040 questions and obtained a score of 505050, how many questions did the player answer correctly

30

Step-by-step explanation:

A player answers x correct questions and y incorrect questions for a total of 40 questions.

x + y = 40

The score is obtained by subtracting y incorrect answers from two times the x of correct answers.  The player's score is 50.

2x - y = 50

Use substitution to solve.  Rearrange the first equation so that it is equal to y.  Then, substitute the y-value into the second equation.

x + y = 40

y = 40 - x

2x - y = 50

2x - (40 - x) = 50

2x - 40 + x = 50

3x - 40 = 50

3x = 90

x = 30

Since x was made to represent correct answers, the player had 30 correct answers.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %