Assuming you meant to write
, then you can simplify this by first factoring the numerator and denominator.
Notice that (x+6) is common to the numerator and denominator. You can cancel this factor so long as you remember to exclude 6 from the domain.
Simplifying further, you have
, where x ≠ 6, x <span>≠ 7.</span>
Answer:
......
Step-by-step explanation:
Length of diagonal of the rectangle=
√( length) ²+( breadth) ²
=√(20) ²+(12) ²
=√400+144
√544 m
. '. Length of fence= √544 m
Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)
=(32+√544) m
Answer:
34%
Step-by-step explanation:
850/2,500= .34 -> 34%
Answer:
1.5
Step-by-step explanation:
Numbers in the interval are 0, 1, 2 and 3
Average Value = (0+1+2+3)/4=1.5
Answer:
a. 5.33 × 10⁻⁴ b. 4.568 × 10⁻³
Step-by-step explanation:
a. This situation represents a binomial probability. Let p = probability that tire is defective = 1% = 0.01, then q = probability that tire is not defective = 1 - p = 1 - 0.01 = 0.99 = 99%.
Since there are 750 tires, the probablility that no tire is defective is P = ⁷⁵⁰C₀q⁷⁵⁰p⁰
= (1) (0.99)⁷⁵⁰(0.01)⁰
= 5.33 × 10⁻⁴
b. The probability that less than two tires will be defective P'
So, P' = ⁷⁵⁰C₀q⁷⁵⁰p⁰ + ⁷⁵⁰C₁q⁷⁴⁹p¹
= (1) (0.99)⁷⁵⁰(0.01)⁰ + (750)(0.99)⁷⁴⁹(0.01)¹
= 5.33 × 10⁻⁴ + 0.004035
= 45.68 × 10⁻⁴
= 4.568 × 10⁻³