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2 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]2 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

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What is the sum of 1.64 and 0.73?<br> 2.37<br> O 1.91<br> O 1.37<br> O 0.91

prisoha [69]

Answer:

2.37

Step-by-step explanation:

3 0

3 years ago

The guide on a tour bus is giving a lecture to the 72 passengers about the historical sites they are passing. The passengers con

Montano1993 [528]

There are 72 passengers in total and 35 are men and women as one category.

The number of children are 72 - 35 = 37

$probability = \frac{success}{outcome }$

So the success is 37 (number of children. And the total number of people is 72.

The probability of a child being asked is 37/72.

7 0

3 years ago

Suppose the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months. W

rusak2 [61]

Answer:

Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

Z = $\frac{ X - \mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 60 months

$\sigma$ = standard deviation = 8 months

Probability that the calculator works properly for 74 months or more is given by = P(X $\geq$ 74 months)

P(X $\geq$ 74) = P( $\frac{ X - \mu}{\sigma}$ $\geq$ $\frac{74-60}{8}$ ) = P(Z $\geq$ 1.75) = 1 - P(Z < 1.75)

= 1 - 0.95994 = 0.04

Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

7 0

3 years ago

Can you help me with this problem?

hjlf

The answer is going to be A

4 0

3 years ago

Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

TEA [102]

Based on the data given, the length of line segment AC is 2.29

<h3>What is the length of side AC?</h3>

Based on the given data:

AC=BC
AB=3
line segment CD is perpendicular to line segment AB
CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

$AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29$

In conclusion, the length of AC is 2.29

Learn more about line segment at: brainly.com/question/2437195

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7 0

2 years ago