Answer:
(3X -8) (X +2)
=(3X^2 + 6X - 8X -16)
use the quadratic formula
a=3
b=-2
c=-16
therefore your x=8/3 or -2
Answer: The number of kittens= 500.
Step-by-step explanation:
Given, A random sample of cats at the SPCA shows that 25 out of the 40 cats are kittens.
i.e. ratio of kitten to cats =
We assume that , the ratio will remains same.
Let x be the number of kitten out of 800 , then we have
Hence, the number of kittens out of 800 cats= 500.
Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
You use rise over run. So you first count the rise( how many upwards is the point) then count the run( how many to the right or left is the point)
