Given :
- Base = 20 cm and 14 cm.
- Height = 5 cm.
To find :
Solution :
We know,
Now, Substituting the values :
Therefore,
- <u>The area of the trapezoid is 85 cm²</u> .
Find the marginal density for by integrating the joint PDF over all possible values of :
Then the density of conditioned on is
for and undefined elsewhere.
Thus
= = =
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The equation is 3.05÷0.05=61
Answer:
he bought 20 hard cover and
he bought 15 paper back
Step-by-step explanation:
3x20= 60
2x15= 30
90
Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ← factor out 2x from each term
= 2x(2x² + 5x - 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x - 1)
Thus
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form