Among 400 randomly selected drivers in the 20 minus 24 age bracket, 11 were in a car crash in the last year. if a driver in that age bracket is randomly selected, what is the approximate probability that he or she will be in a car crash during the next year? is it unlikely for a driver in that age bracket to be involved in a car crash during a year? is the resulting value high enough to be of concern to those in the 20 minus 24 age bracket? consider an event to be "unlikely" if its probability is less than or equal to 0.05. the probability that a randomly selected person in the 20 minus 24 age bracket will be in a car crash this year is approximately nothing.

The approximate probability that he or she will be in a car crash during the next year is 0.0275, Yes, it would be unlikely. But it would not be unusual.  No, The resulting value is not high enough.

Step-by-step explanation:

Consider the provided information.

Among 400 randomly selected drivers in the 20-24 age bracket, 11 were in a car crash in the last year.

We need to find the approximate probability that he or she will be in a car crash during the next year.

Part(A)

Let P(E) is the probability that he or she will be in a car crash during the next year.

The favorable outcomes is 11 and total number of outcomes is 400.

Substitute the respective values in the above formula.

Hence, the approximate probability that he or she will be in a car crash during the next year is 0.0275

Part(B)

It is given that an event to be "unlikely" if its probability is less than or equal to 0.05.

0.0275 is less than 0.05

Yes, it would be unlikely. But it would not be unusual.

Part(C)

No, The resulting value is not high enough.

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.