The number 2400 is first increased by 30%.The value obtained is next decreased by 20%.Find the final number
1 answer:
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Answer:
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The probability that Mae will roll an odd number
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Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that Mae has a number cube with 6 sides that are numbered 1 through 6.</em>
<em>n(S) = { 1,2,3,4,5,6,} = 6</em>
<em>Let 'E ' be the event of odd numbers</em>
<em>Mae will roll an odd number</em>
<em>n(E) = {1, 3, 5} = 3</em>
<u>Step(ii):-</u>
<u>The probability that Mae will roll an odd number</u>
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Answer:
Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).
Step-by-step explanation:
Equation of the circle → (x - 2)² + y² = 25 ---------(1)
→ (x - 2)² + (y - 0)² = 5²
By comparing this equation with the standard equation of the circle,
(x - a)² + (y - b)²= r²
Here (a, b) is the center and r is the radius of the circle.
Therefore, center of the circle is (2, 0) and radius = 5 units
Second equation is a linear equation → y = 3x + 3 -------(2)
x-intercept of the equation → x = -1
y-intercept of the equation → y = 3
By graphing these equations we can get the point of intersections.
Solving these equations algebraically,
Substitute the value of y from equation (2) in the equation (1),
(x - 2)² + (3x + 3)² = 25
x² - 4x + 4 + 9x² + 18x + 9 = 25
10x² + 14x - 12 = 0
5x² + 7x - 6 = 0
x =
x =
x =
x = -2, 0.6
From equation (2),
y = -3, 4.8
Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).
