Answer:
1.1348621526 X 10⁻¹³
Step-by-step explanation:
Number of Red balls=25
Number of Green balls=19
Number of Purple balls=30
Number of Blue=24
Total=25+19+30+24=98
Since the balls are picked with replacements, probability of picking a color will be the same all true.
P(Picking a red ball)= 25/98
P(Picking a green ball)= 19/98
P(Picking a purple ball)= 30/98
P(Picking a blue ball)= 24/98
P(2 red balls)= 25/98 X 25/98 = (25/98)²
P(5 green balls)= 19/98 X 19/98 X 19/98 X 19/98 X 19/98 =(19/98)⁵
P(10 purple balls)= 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 X 30/98 =(30/98)¹⁰
P( 5 blue balls) =24/98 X 24/98 X 24/98 X 24/98 X 24/98 =(24/98)⁵
P(2 red balls, 5 green balls, 10 purple balls, and 5 blue balls) = (25/98)² X (19/98)⁵ X (30/98)¹⁰ X (24/98)⁵
=1.1348621526 X 10⁻¹³
There are 5,500 Millimeters in five and a half liters, Hope this helps!
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression is equivalent to the <em>trigonometric</em> expression .
<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression is equal to the <em>trigonometric</em> expression . Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
#SPJ1
ANSWER
EXPLANATION
The sum of the exterior angles of a polygon is
So we sum all the exterior angles to obtain,
This implies that,
We group like terms to obtain,
This simplifies to,
Therefore the correct answer is option B.