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3 years ago

Which line is best model for the data in the scatter plot

Mathematics

1 answer:

Levart [38]3 years ago

6 0

Answer:

Bottom left corner

Step-by-step explanation:

This is because that the graph at the bottom has the dots scattered equally with one near the lone of best fit which means that it'll show better accuracy.

Hope this helps :)

Have a nice day!!!

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F(x)=x^2 is vertically stretched by a factor of 2 and translated by 3 units left to create g(x). What does g(x)= ?

gavmur [86]

g(x)=-2(x+3)^2

The -2 in front is the vertical stretch.

Also, because it is going 3 units to the left, you have to put the 3 on the inside and because it is left you do the opposite and it is +3.

5 0

3 years ago

Write a quadratic function f whose only zeros are -3 and -12

emmasim [6.3K]

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x + 12)

f(x) = x^2 + 3x + 12x + 36

f(x) = x^2 + 15x + 36

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2 years ago

The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The

zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x f(x)

0-3 13

4-7 13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x f(x)

1.5 13

5.5 13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

$\bar x = \frac{\sum fx}{\sum f}$

This gives

$\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}$

Evaluate

$\bar x = 7.98$

The standard deviation is then calculated as:

$\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}$

So, we have:

$\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13 * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}$