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Ahat [919]
2 years ago
11

In 2015, there were about 22 million teenagers (aged 13–17) in the United States. They each sent an average of 900 text messages

per month. About how many text messages did all of the teenagers in the United States send each month? Express your answer using scientific notation.
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
4 0

Answer: 24000

Step-by-step explanation:

Divide the 22 million by the 900 texts a month to get 24,444 then round to 24,000

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Answer: -1

Step-by-step explanation:

10^-3 x 10 = 10^-2

But you need it to be 1/10^3

So 10^-2 x 10^-1 = -2 + -1

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In order to put it in simplest form, the power needs to be positive.

So = 1/10^3

Meaning the missing power is -1  

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A rat is trapped in a maze. Initially he has to choose one of two directions. If he goes to the right, then he will wander aroun
Brut [27]

Answer:

The expected number of minutes the rat will be trapped in the maze is 21 minutes.

Step-by-step explanation:

The rat has two directions to leave the maze.

The probability of selecting any of the two directions is, \frac{1}{2}.

If the rat selects the right direction, the rat will return to the starting point after 3 minutes.

If the rat selects the left direction then the rat will leave the maze with probability \frac{1}{3} after 2 minutes. And with probability \frac{2}{3} the rat will return to the starting point after 5 minutes of wandering.

Let <em>X</em> = number of minutes the rat will be trapped in the maze.

Compute the expected value of <em>X</em> as follows:

E(X)=[(3+E(X)\times\frac{1}{2} ]+[2\times\frac{1}{6} ]+[(5+E(X)\times\frac{2}{6} ]\\E(X)=\frac{3}{2} +\frac{E(X)}{2}+\frac{1}{3}+\frac{5}{3} +\frac{E(X)}{3} \\E(X)-\frac{E(X)}{2}-\frac{E(X)}{3}=\frac{3}{2} +\frac{1}{3}+\frac{5}{3} \\\frac{6E(X)-3E(X)-2E(X)}{6}=\frac{9+2+10}{6}\\\frac{E(X)}{6}=\frac{21}{6}\\E(X)=21

Thus, the expected number of minutes the rat will be trapped in the maze is 21 minutes.

3 0
2 years ago
At what value of x do the graphs of the equations below intersect <br> 2x-y=6 <br> 5x+10y=-10
Irina18 [472]

Answer:

The graphs of the equations intersect at x=2

Step-by-step explanation:

we have

2x-y=6 ----> equation A

5x+10y=-10 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both lines

Using a graphing tool

The solution is the point (2,-2)

see the attached figure

therefore

The graphs of the equations intersect at x=2

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Reese needs to understand the integer laws to complete his homework. As he recites his rules, he is overheard saying "a positive
Nikitich [7]

Answer:

No

Step-by-step explanation:

Let's check the first statement with an example. 2 and 3 are positive numbers and their sum (5) is also positive so his first statement is true.

To check the second statement let's look at the negative numbers -1 and -8 for example. Their sum (-9) is also negative so his second statement is true.

To check the third statement let's look at the numbers 9 and -5. One is positive and one is negative, but their sum (4) is positive, so his third statement is false. However if we look at the numbers 4 and -7, their sum is negative so the third statement is partially false.

4 0
2 years ago
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