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Nutka1998 [239]
3 years ago
6

In his free time, Gary spends 13 hours per week on the Internet and 13 hours per week playing video games. If Gary has five hour

s of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
Mathematics
1 answer:
goldenfox [79]3 years ago
6 0
<span>Gary spend 13 hours per week on the Internet and 13 hours on video games Gary has 5 hours of free time each day,
 so total free time in a week=> 7*5=35 hours
Now he spends 13+13 hours on the internet and games=28 hours Percentage free time spent on games and internet
 

26/35 (that is a fraction) x100 =</span><span>74.285714 
</span>so round your answer
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Step-by-step explanation:

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3 years ago
Matthew plays basketball for his high school. On average, he scores 33 points per game, with a standard deviation of 2 points. W
Lera25 [3.4K]
<h3>Answer: Choice B</h3>

Matthew will score less than 27 points in about 0.15% of his basketball games.

=======================================================

Explanation:

mu = 33 = population mean

sigma = 2 = population standard deviation

Let's find the z score when x = 27

z = (x - mu)/sigma

z = (27-33)/2

z = -6/2

z = -3

A score of 27 points is exactly three standard deviation units below the mean of 33 points.

Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.

That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.

One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.

To get a more accurate answer, you can use a Z table to find that

P(Z < -3) \approx 0.00135 \approx 0.135\%

which isn't too far off from the 0.15%

3 0
2 years ago
Read 2 more answers
6×11÷2what do you think it could be
Valentin [98]
6x11÷2
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7 0
3 years ago
Read 2 more answers
John and Tim are looking at the equation the square root of the quantity of 3 times x minus 4 equals square root of x . John say
IgorC [24]
The equation is 
3x - 4 = sqrt(x)
where 'sqrt' is shorthand for 'square root'

Let's solve the equation. To do so, we square both sides. Then we get everything to one side
3x - 4 = sqrt(x)
(3x - 4)^2 = (sqrt(x))^2
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9x^2 - 24x + 16-x = x-x
9x^2 - 25x + 16 = 0

Now use the quadratic formula. See the attached image for those steps.

After using the quadratic formula the two possible solutions are x = 1 or x = 16/9

We need to check each possible solution to see if it is extraneous or not.

----------------------------

Checking x = 1

3x - 4 = sqrt(x)
3*1 - 4 = sqrt(1)
3 - 4 = 1
-1 = 1

The final equation is false, so x = 1 is not a true solution

x = 1 is extraneous. 

So far, John is correct; however, we need to see the nature of the possible solution x = 16/9

So let's check it
----------------------------

Checking x = 16/9

3x - 4 = sqrt(x)
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(16 - 12)/3 = 4/3
4/3 = 4/3

The last equation is true, so x = 16/9 is a proper solution.

This solution is considered non-extraneous. So Tim is also correct
----------------------------

They are both correct because there are two possible solutions. One of which is extraneous (x = 1) and the other is non-extraneous (the fraction x = 16/9)

3 0
3 years ago
Match the following items by evaluating the expression for
stich3 [128]

Answer:

x^-2 = 1/4

x^-1 = -1/2

x^0  = 1

x^1 = -2

x^2 = 4

Step-by-step explanation:

got it right

5 0
3 years ago
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