Answer:
2.25 it is the answer
Step-by-step explanation:
Finding the perimeter of a shape is just adding up the length of the sides. the vertical sides are 4 + 6, which is 10. For the hypotenuse, use Pythagorean Theorem. 4² + 6² = 16 + 36 = 52. Take the square root of 52: 7.211, and add it to 10. This makes the perimeter 17.211 units.
Answer:
Step-by-step explanation:
10x^3 + 35x^2 - 4x - 14
5x^2(2x + 7) - 2(2x + 7)
(5x^2 - 2)(2x + 7)
Answer:
0.9995
Step-by-step explanation:
10% = 0.10
1 - 0.10 = 0.9
n = number of light bulbs = 7
we calculate this using binomial distribution.
p(x) = nCx × p^x(1-p)^n-x
our question says at most 4 is defective
= (7C0 × 0.1⁰ × 0.9⁷) + (7C1 × 0.1¹ × 0.9⁶) + (7C2 × 0.1² × 0.9⁵) + (7C3 × 0.1³ × 0.9⁴) + (7C4 × 0.1⁴ × 0.9³)
= 0.478 + 0.372 + 0.1239 + 0.023 + 0.0026
= 0.9995
we have 0.9995 probability that at most 4 light bulbs are defective.