Answer:
Event A = white marble is selected
Event B = blue marble is selected
P(A) = 5/10 = 1/2
p(B) = 5/10 = 1/2
Probability that A and B are independent events is:
P(A∩B) = 1/2 × 1/2
Answer: 1/4
1st digit: 9 possibilities (can’t have 0)
2nd digit: 10 possibilities
3rd digit:10
4th digit:10
5th digit:10
6th digit: 4 possibilities (it can only be even)
9•10•10•10•10•4 =360,000 possibilities
Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
1. ∠SWT ≅ ∠TWU Given
2. m∠SWT + m∠TWU = 180° Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180° Substitution
4. m∠SWT = 90° Algebra
5. 
⊥ 
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines and m∠SWT = 90°, therefore, the lines and are perpendicular to each other.
Answer:
The standard form is 8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11
The degree of given polynomial is '5'
the co-efficient of y⁴ is '-17'
Step-by-step explanation:
Given standard form 2 y²+ 6 y³-11-17 y⁴+8 y⁵
<em>The form ax² + b x + c is called the standard form of the quadratic expression of 'x'.This is second degree standard form of polynomial.</em>
<em>The form ax⁵ + b x⁴ + c x³ +d x² +ex +f is called the standard form of the quadratic expression of 'x'.This is fifth degree standard form of polynomial</em>
now Given polynomial is 2 y²+ 6 y³-11-17 y⁴+8 y⁵
The standard form is
8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11
<u><em>Conclusion</em></u>:-
<em>The degree of given polynomial is '5'</em>
<em>The co-efficient of y⁴ is '-17'</em>
<em> </em>
Answer:
the option c is the answer for this question
