The median of the five numbers in the box is 10 the range is 12 10,5,15,5,x
a. find x
b. what is the mean?

a. 17

b. 10.4

Step-by-step explanation:

If the median is 10 and the range is 12, it means that the number x cannot be smaller than 5 or 10. If it were the median would be 5. if the range is 12 and x is greater 10, it means that the number x is greater than 15 as the range is greater than  the difference between 15 and 5.

As such

x - 5 = 12

add 5 to both sides

x = 12 + 5

x = 17

The mean is the total of the data set divided by the number that makes the data set. Let the mean be t

t = (10 + 5 + 15 + 5 + 17)/5

= 52/5

= 10.4

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200