Answer:

Step-by-step explanation:
The formula of an area of a circle:

<em>r</em> - radius
We have the endpoints of a diameter of a circle.
The formula of a distance between two points:

Substitute the coordinates of the given points A(3, 4) and B(10, 4):

Therefore we have the length of the diameter: <em>d = 7</em>
We know: <em>d = 2r.</em> Therefore

Substitute to the formula of an area:

<em>There is no such answer in the answers to choose.</em>
<em>Apparently you have some error in the coordinates of the endpoints.</em>
The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
What is Quadratic equation?
An algebraic equation of the second degree is called a quadratic equation.
Given that;
A quadratic equation is;
3x² = -12x - 15
Now, The equation is written as;
3x² + 12x + 15 = 0
Take 3 common, we get;
3 (x² + 4x + 5) = 0
x² + 4x + 5 = 0
Factorize the equation by using Sridharacharya Formula;
x = - 4 ± √4² - 4*1*5 / 2*1
x = -4 ± √16 - 20 / 2
x = - 4 ± √-4 / 2
Since, √-1 = i
x = -4 ± 2i / 2
x = - 2 ± i
It gives two values of x as;
x = - 2 + i
And, x = - 2 - i
Hence, The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
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The theoretical probability of rolling a three would be 1/6.
1/6 expressed as a decimal would be 0.17.
Answer:
when Y = 2, P(2) = 1/6 = 0.167
when Y = 3, P(3) = 2/6 = 0.333
when Y = 4, P(4) = 3/6 = 0.5
Step-by-step explanation:
Total number of possible ways to choose 2 components for defectives out of 4 components = 4C2 = 6
Y can only take values of 2, 3 and 4
So, Probability of Y = P(Y) = 1C(Y-1) / 6
when Y = 2, P(2) = 1/6 = 0.167
when Y = 3, P(3) = 2/6 = 0.333
when Y = 4, P(4) = 3/6 = 0.5