Is the quotient of √10 and 5 a rational number? Explain.

The smallest number of trips he must make is 5. Since he can carry only 3 bottles per trip, 5 trips would allow him to transport 15 bottles.
Though it might seem like 4 trips could suffice, as 4 times 3 is 12, that's one bottle short of 13.
Hence, an additional trip is needed to carry the last bottle, totaling 5 trips.

Answer:

(a) What will his age be after 5 years?

"5 + y" years old

(b) What was his age 6 years ago?

"y - 6" years old

(c) If his grandfather’s age is five times his, how old is his grandfather?

"5y" years old

(d) His father is 6 years older than three times his age. How old is his father?

"6 + 3y" years old

Note: Disregard the quotation marks, ""

Organizing the data in increasing order to find the outlier and compute the mean

Detailed explanation:

The provided data consists of: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arranging it in ascending sequence

                               [1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is identified as 32

Calculating the mean;

Mean=total of data set/quantity of data set

Total= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Quantity of data set=11

Mean=124/11=11.27

As a fraction, 2.161616 is represented as 2 161616/1000000, and when simplified, it becomes 2 10101/62500.

We can use a graphing tool to plot the <span> cosecant function
</span>check the attached image

the answer corresponds to option B