Answer:
25
Step-by-step explanation:
Note x^2y + xy^2 = xy(x+y)
We know xy = 5 and x+y = 5, so
5*5=25
Answer:
48?
Step-by-step explanation:
1.) - sqrt. 2 (which, in decimal, is about -1.4142…) , 0, sqrt. 5 (which, in decimal, is about 2.2360…) , 13/4
2.) -1.5, 3/4 (which, in decimal, is 0.75) , 3, sqrt 10 (which, in decimal, is about 3.1622…)
3.) -3/2 (which, in decimal, is -1.5), -3/7 (which, in decimal, is about -0.4285…) , 0.75, 2
Answer:
<em>The probability of the length of a randomly selected Cane being between 360 and 370 cm P(360 ≤X≤370) = 0.6851</em>
Step-by-step explanation:
<u>step(i)</u>:-
<em>Let 'X' be the random Normal variable</em>
<em>mean of the Population = 365.45</em>
<em>Standard deviation of the population = 4.9 cm</em>
<em>Let X₁ = 360</em>
<em></em>
<em></em>
<em>Z₁ = -1.112</em>
<em>Let X₂ = 370</em>
<em></em>
<em></em>
<em>Z₂ = 0.911</em>
<u><em>Step(ii</em></u><em>):-</em>
<em>The probability of the length of a randomly selected Cane being between 360 and 370 cm</em>
<em> P(x₁≤x≤x₂) = P(z₁≤Z≤z₂) </em>
<em> P(360 ≤X≤370) = P(-1.11≤Z≤0.911)</em>
<em> = P(Z≤0.911)-P(Z≤-1.11)</em>
<em> = 0.5 +A(0.911) - (0.5-A(1.11)</em>
<em> = 0.5 +A(0.911) - 0.5+A(1.11)</em>
<em> = A(0.911) + A(1.11)</em>
<em> = 0.3186 + 0.3665</em>
<em> = 0.6851</em>
<em>The probability of the length of a randomly selected Cane being between 360 and 370 cm P(360 ≤X≤370) = 0.6851</em>
<em></em>
<em></em>
Length of base of isosceles triangle, x = 7
Step-by-step explanation:
- Step 1: Given base of isosceles triangle, x = 7 and perimeter = 41
Length of one leg = 3x - 4. Since two sides, other than the base of an isosceles triangle are equal, the length of the other leg = 3x - 4.
- Step 2: Formula for perimeter of triangle = length of sides
- Step 3: Substitute values of sides in the formula
⇒ 41 = x + (3x - 4) + (3x - 4) = x + 2(3x - 4)
⇒ 41 = x + 6x - 8
⇒ 41 = 7x - 8
⇒ 49 = 7x
⇒ x = 7