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2 years ago

Please help the distance formula

Mathematics

1 answer:

Alexxandr [17]2 years ago

8 0

Answer:

7.8

Step-by-step explanation:

distance formula : $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where the x and y values are derived from the given points

here the given points are (11,3) and (6,9)

<u>assigning variables</u>

(x1,y1) = (11,3) so x1 = 11 and y1 = 3

(x2,y2) = (6,9) so x2 = 6 and y2 = 9

<u>plugging in values into formula</u>

recall formula $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

==> plug in x1 = 11 , y1 = 3 , x2 = 6 and y2 = 9

$d=\sqrt{(6-11)^2+(9-3)^2}$

==> subtract values in parenthesis

$d=\sqrt{(-5)^2+(6)^2}$

==> evaluate exponents

$d=\sqrt{25+36}$

==> add 25 and 36

$d=\sqrt{61}=7.8$ ( approximately )

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ioda

Answer:

p = 0.635

Step-by-step explanation:

A step to the right is n and on ten different days, it was recorded to be

14, 13, 11, 12, 11, 12, 16, 16, 14, 8.

n = average of all the steps,

The average is the sum of variables divided by the number of variables

Average = (14+13+11+12+11+12+16+16+14+8)/10

Average = 12.7 steps.

σₙ² = variance of n

Variance is an average of the squared deviations from the mean.

[Σ(x - xbar)²/N]

Σ(x - xbar)² = (14-12.7)² + (13- 12.7² + (11-12.7)² + (12-12.7)² + (11-12.7)² + (12-12.7)² + (16-12.7)² + (16-12.7)² + (14-12.7)² + (8-12.7)² = 54.1

Variance = σₙ² = (54.1/10) = 5.41

standard deviation = σₙ = √(variance) = √5.41 = 2.326.

The proportion, p can be computed in two ways.

Mean = Np or standard deviation = √[Np(1-p)]

where N = total number of steps = 20

Mean = 12.7 = 20p

p = (12.7/20) = 0.635

Standard deviation = 2.326 = √[20p(1-p)]

5.41 = 20p - 20p²

20p² - 20p + 5.41 = 0

Solving the quadratic equation,

p = 0.5 + 0.143i or p = 0.5 - 0.143i

not a unique or feasible solution, hence, the probability of a step to the right remains p = 0.635

Hope this Helps!!!

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Answer:

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First you find 11% of 35

35 x .11 = 3.85

3.85<5

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