A teetotum is a spinning top that has an equal probability of landing on each side. The expected value of one

Mathematics

1 answer:

Mashcka [7]2 years ago

7 0

Probabilities are used to determine the chances of events

The true statement is (c) the teetotum could land on the number 10

<h3>How to determine the true statement</h3>

From the question, we understand that the spinning top is divided into 12 equal segments

This means that the possible outcomes of the spin is from 1 to 12

Hence, the true statement is (c) the teetotum could land on the number 10

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Kara travels at a constant speed of 72 miles per 2 hours. At this rate, how far does she travel after 6.5 hours?

dybincka [34]

Answer:

234 hours

Step-by-step explanation:

To find the miles per hour, divide 72 by 2 and that equals 36. So 36 miles every hour. So then do 36 × 6 which equals 216. So this is 216 miles in 6 hours, but you still need 0.5 of an hour, so to find how far she travels in 0.5 of an hour, divide the amount she travels in one hour by two. So 36 ÷ 2 which equals 18. So she travels 18 miles every 0.5 of an hour. Then add 18 to the 216 which equals 234.

Hope This Helps!!!

4 0

3 years ago

Can someone help with this please

nasty-shy [4]

Answer:

22x^2 -10xy + 12x

Step-by-step explanation:

To add and subtract polynomials, combine only like terms. When doing it vertically, stack polynomials and line up the same bases and exponents. Once this is done, simply add and subtract the coefficients.

10x^2 + 12xy + 4x

+ 12x^2 -22xy + 8x

_________________

22x^2 -10xy + 12x

Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.

6 0

3 years ago

. In a class of all boys, 18 boys like to play chess, 23 like to play soccer, 21 like biking and 17 like hiking. The number of t

Bingel [31]

Answer:

Step-by-step explanation:

It can help to make a diagram of some sort. Here is a sort of Karnaugh map. A Venn diagram can also work, or something like the one in the second attachment.

In the attachment of the first diagram, the rows and columns are labeled with 00, 01, 11, 10 — all the possible combinations of the two "likes" on that side of the diagram. A 0 indicates no like; 1 indicates a 'like to play'. Thus the "01" ro on the chess/soccer side of the board indicates "don't like to play chess and do like to play soccer." The numbers on this row will contribute to the number who like to play soccer, but not to the number who like to play chess.

Similarly, the "10" column on the hiking/biking side of the diagram indicates "like hiking but don't like biking." Numbers in this column will contribute to the counts of boys that like hiking, but will not contribute to the numbers who like biking.

For a problem of this nature, it often works well to start with the number who like all four activities. That "3" goes into the square on the "11" row and the "11" column, indicating all four activities are liked.

The total for "like chess, soccer, and hiking" is also 3, so the number in the 11 row and 10 column must be 0. That is, "like chess, soccer, and hiking" includes both those who do and those who don't like biking. If all three like biking, then there will be 0 who like chess, soccer, and hiking, but don't like biking.

The numbers at the right side or bottom of the main array are totals for rows, columns, or pairs of them.

The numbers in black are given in the problem statement. The numbers in red are derived by addition or subtraction to make the totals come out.

The colored squares have the totals indicated at lower right. In each case, the corresponding color in the main array is at the lower left of a 4-square block.

Once all the numbers are figured out, they can be totaled to find the number of boys in the class. That total is 40 boys.