The table shows a probability distribution for predicting how many cars will arrive at a car wash. each event represents how many cars arrive during a ten-minute interval. use the six randomly generated numbers 55, 86, 2, 12, 72, and 48 to predict how many cars will arrive over a one hour period.

Option (b): 10 cars

Step-by-step explanation:

We have the following numbers:

55, 86, 2, 12, 72 and 48

First we order them from least to greatest according to the intervals shown in the fourth column of the table.

So, we have

2, 12

48, 55

72, 86

The first two numbers (2, 12) enter the first interval (1-18) corresponding to the arrival of 0 cars

The third and fourth number (48, 55) enters the third interval (41-70) that corresponds to the arrival of 2 cars.

The fifth and sixth numbers (72, 86) enter the fourth interval (71-87) that corresponds to 3 cars.

So we have that, according to the numbers given, the number of cars arriving in an hour is:

0 + 0 + 2+ 2 + 3 + 3 = 10 cars

The correct answer is the option (b) 10 cars

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)