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1 year ago

The table shows data from a travel agency, representing the number of guests on a trip (x) and the estimated dollar

Mathematics

1 answer:

Arlecino [84]1 year ago

6 0

The slope of the best fit for the 3 given points is 500, so the correct option is b.

<h3>How to find the slope?</h3>

Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

$s = \frac{y_2 - y_1}{x_2 - x_1}$

With the 3 given points we can find 3 slopes, and then we will need to find the average of these 3.

The 3 points are: (3, 2,750), (6, 4,200), and (9,5,750)

Then the 3 slopes are:

$s_1 = \frac{4,200 - 2,750}{6 - 3} = 483.3\\\\s_2 = \frac{5,750 - 2,750}{9 - 3} = 500\\\\s_3 = \frac{5,750 - 4,200}{9 - 6} = 516.7$

The average slope is:

$S = (483.3 + 500 + 516.7)/3 = 500$

So the correct option is b.

If you want to learn more about slopes:

brainly.com/question/1884491

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Jane moved into a flat with two other students. the rent was £540 per month altogether and the council tax worked at £216 each p

Delvig [45]

9873 - 9586 = 287 units used cost is 287 * 27.2 = 7806.4 p= 78.06 + standing charge of 12.40

total gas 80.46 Jayne's share 26.16 (because they have to pay part of a penny, so round up) 
electricity 
3542 - 3187 = 355 units used cost 355 * 7.1 2520.5 p = 25.21 + standing charge of 9.10 

total electricity 34.31 Jayne's share 11.44 (because they have to pay part of a penny, so round up) 
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total cost 3 months for Jayne 
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4 0

2 years ago

a survey of 1,000 people was done bu the new York times. 80% of the people did not know the name of their representative in Cong

ss7ja [257]

The answer is 200. you would multiply 1000 by 80% giving you 800. 800 people didnt know the name so that leave 200 people did.

6 0

2 years ago

Read 2 more answers

Please help!! I need to make up my own formula with LENGTH X WIDTH, can someone please help me!!!

damaskus [11]

Answer:

A = s²

Step-by-step explanation:

A = s² where s represents the side lengths

Since the side lengths of a square are always the same, you can use the formula A = s² for a square instead of using A=l(w)

8 0

2 years ago

A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s

Artemon [7]

Answer:

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

$x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 0 \ \leq age \leq 2 }\\{0 \ \leq age \leq 3}\end{array}\right]$

Also , the age transition matrix is as follows:

$L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]$

After 1 year ; the age distribution vector will be :

$x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right] \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]$

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

6 0

2 years ago

How many boards he can paint

katrin2010 [14]

Idk but just divide both of the fraction hope i helped you a little

4 0

2 years ago