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Maksim231197 [3]
3 years ago
11

What is the x-intercept of the group of the function f(x) =x2 -16x + 64

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

The x-intercept of a function is basically it's roots. So when you factor out the function f(x) = x^2 - 16x + 64 you get

(x-8)(x-8)

x = 8

So x-int. is (0,8) or x = 8

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You mow the lawn to earn your allowance. Each time you mow the lawn you earn 12$
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2 years ago
Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi
r-ruslan [8.4K]

Answer:

15.85%

Step-by-step explanation:

The empirical rule states that:

  • 68% of all data falls within 1 standard deviation of the mean
  • 95% of all data falls within 2 standard deviation of the mean
  • 99.7% of all data falls within 3 standard deviation of the mean

When we say 1,2,3 standard deviation of the mean, that is, it is evenly distributed in both sides of the mean. For example:

68/2 = 34% of data falls within mean - 1*standard deviation, and

also, 34% of data falls within mean + 1*standard deviation

Now, we see that 192 - 27 = 165, so this is 1 standard deviation of the mean [mean - 1*standard deviation], so 34% of data fall in that range.

But we want, data that ARE FEWER than 165. So, we use property of normal distribution.

Half of data (50%) is left of mean, of which 34% fall within 1 standard deviation So the remaining would fall fewer than 165.

That is 50 - 34 = 16 - 0.15 = 15.85%

<u><em>Note:</em></u> since 99.7% fall within 3 standard deviation of mean, so 100 - 99.7 = 0.3 which is distributed in both sides, so 0.3/2=0.15 is subtracted

6 0
3 years ago
Solve the system of linear equations. separate the x- and y- values with a coma.
kobusy [5.1K]
Solve the following system:
{7 x - 3 y = 37 | (equation 1)
{14 x + 11 y = 23 | (equation 2)
Swap equation 1 with equation 2:
{14 x + 11 y = 23 | (equation 1)
{7 x - 3 y = 37 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{14 x + 11 y = 23 | (equation 1)
{0 x - (17 y)/2 = 51/2 | (equation 2)

Multiply equation 2 by 2/17:
{14 x + 11 y = 23 | (equation 1)
{0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:
{14 x + 11 y = 23 | (equation 1)
{0 x+y = -3 | (equation 2)
Subtract 11 × (equation 2) from equation 1:
{14 x+0 y = 56 | (equation 1)
{0 x+y = -3 | (equation 2)

Divide equation 1 by 14:
{x+0 y = 4 | (equation 1)
{0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = 4
               {y = -3

4 0
3 years ago
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