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3 years 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]3 years 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

#SPJ1

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PLEASE HELP ME!!!!!!!

Anastasy [175]

Answer:

:))

Step-by-step explanation:

Collect like terms, keeping the integer rules in mind

5. 5a + 9b - 3a + 2b + 4a

5a + 4a - 3a + 9b + 2b (REARRANGE, if you find it to help)

6a + 11b

6. 7m + 3n - 8m + 2n + 10m

7m + 10m - 8m + 3n + 2n

9m + 5n

10. 10m²n + 5mn + 9m²n - 2mn

10m²n + 9m²n + 5mn - 2mn

19m²n + 3mn

Try to do the rest on your own :)

7 0

3 years ago

How can you use multiplication to divide one fraction by another?

Fed [463]

Multiplying is the inverse for division

5 0

3 years ago

Students at a certain school were surveyed, and it was estimated that 10% of college students abstain from drinking alcohol. T

MissTica

Answer:

you are unwilling to predict the proportion value at your school = 0.90

b)

The large sample size 'n' = 864

Step-by-step explanation:

Given estimated proportion 'p' = 10% = 0.10

Given Margin of error M.E = 0.02

Level of significance α = 0.05

you are unwilling to predict the proportion value at your school

q = 1- p = 1- 0.10 =0.90

The Margin of error is determined by

$M.E = \frac{Z_{\frac{\alpha }{2} } \sqrt{p(1-p)} }{\sqrt{n} }$

$0.02 = \frac{1.96 X \sqrt{0.10 (0.90)} }{\sqrt{n} }$

Cross multiplication , we get

$\sqrt{n} = \frac{1.96 X \sqrt{0.10 (0.90)} }{0.02 }$

√n = 29.4

Squaring on both sides , we get

n = 864.36

Conclusion:-

The large sample size 'n' = 864

7 0

3 years ago

Could you please help me with finding the circumference? An explanation to go with it would be great!

Naddik [55]

Step-by-step explanation:

37,7m, π*(r*2)

r*2 is diameter it's kinda ez , just put 37,7m and ur done

4 0

3 years ago

Represent the system of linear equations 3x+y-5=0 and 2x-y-5=0 graphically. From the graph write solution of the system and also

Wittaler [7]

Answer:

<h2>The solution is (2, -1)</h2><h2>The area of the triangle formed is 10 square units.</h2>

Step-by-step explanation:

The given system is

$3x+y-5=0\\2x-y-5=0$

First, you need to graph both lines. To do so, you just need to find the interceptions with both axis.

$3x+y-5=0$

For $x=0 \implies y=5$

For $y=0 \implies x=\frac{5}{3}$

Then, you draw both points to have the straight line.

Repeat the process for the second line. The image attached shows both lines.

Remember, the solution of a linear system of equation is the common point between lines. In this case, we can observe that the solution is (2, -1).

On the other hand, to find the area of the triangle formed, we need to use the length of its base and its height.

Its base is 10 units long.
Its height is 2 units long.

Now, we use the area formula for triangles

$A=\frac{bh}{2}=\frac{10(2)}{2}= 10 \ u^{2}$

Therefore, the area of the triangle formed is 10 square units.

8 0

3 years ago