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3 years ago

Create a circle such that its center is point a and b is a point on the circle

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

5 0

Step-by-step explanation:

The center of a circle is the point in the circle which is equidistant to all the edges of thr circle. The point a is the center, while point b is an arbitrary point in the circle. Find attachment for the diagram.

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A factory dumps an average of 2.43 tons of pollutants into a river every week. if the standard deviation is 0.88 tons, what is t

vovikov84 [41]

25.8%
First, determine how many standard deviations from the norm that 3 tons are. So:
(3 - 2.43) / 0.88 = 0.57/0.88 = 0.647727273
So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%
So the probability that more than 3 tons will be dumped in a week is 25.8%

5 0

2 years ago

Simplify and Evaluate

zalisa [80]

$\dfrac{2^{-1} + 5^{-1}}{10^{-1} - 5^{-2}} =$

$= \dfrac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} - \frac{1}{5^2}}$

$=\dfrac{\frac{1}{2} + \frac{1}{5}}{\frac{1}{10} - \frac{1}{25}}$

$=\dfrac{\frac{5}{10} + \frac{2}{10}}{\frac{5}{50} - \frac{2}{50}}$

$=\dfrac{\frac{7}{10}}{\frac{3}{50}}$

$= \frac{7}{10} \times \frac{50}{3}$

$= \frac{7}{1} \times \frac{5}{3}$

$= \frac{35}{3}$

4 0

3 years ago

use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3

NISA [10]

Answer:

Approximate solution is 541.

Step-by-step explanation:

y' = 2xy, Δx = 0.4.

Make a table:

x y y' y' Δx + y

1 2 4 4*0.4 + 2 = 3.6 <---this is the new y value.

1.4 3.6 10.08 7.632

1.8 7.632 27.48 18.624

2.2 18.624 81.95 51.70

2.6 51.70 268.85 159.24

3 159.24 955.44 541.4

3 0

2 years ago

Find an equation of the line in the form whose x-intercept is 15 and y-intercept is 3, where a, b, and c are integers with n

madreJ [45]

x-intercept = (15, 0) y-intercept = (0, 3)

slope (m) = (y₂ - y₁)/(x₂ - x₁) = (0 - 3)/(15 - 0) = -3/15 = -1/5

Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is one of the given points

y - 0 = (-1/5)(x - 15)

-5y = x - 15

x + 5y = 15

Answer: x + 5y = 15

5 0

3 years ago

(8^5)^0 + (7 + 3)^6 x 10^-8<br> Please answer!!!

sergeinik [125]

Answer:

1.01 m8

Step-by-step explanation:

7 0

2 years ago

Create a circle such that its center is point a and b is a point on the circle​

Create a circle such that its center is point a and b is a point on the circle