Answer: The required probability is 0.1328.
Step-by-step explanation:
Since we have given that
n = 5
Probability of success = p = defective rate = 3% = 0.03
Probability of failure = q = 1-p = 1 - 0.03 = 0.97
So, we will use "Binomial distribution":
probability that the first defective occurs in the fifth item inspected would be

Hence, the required probability is 0.1328.
Answer:
Both answers are correct
Step-by-step explanation:
both y = 1 - 3/2x and y = 1 + -3/2x are correct answers, it is just that y= 1 - 3/2x is the simpler version. Adding a negative number is the same as subtracting a positive.
Answer:
The concentration is simply 36%
Step-by-step explanation:
In this question, we are concerned with calculating the concentration of a new mixture formed from mixing some liters of each of two vinegar variants of different concentrations.
We proceed as follows;
The concentration of the new solution will contain 12% of 13L vinegar A and 70% of 9L vinegar B
13L of vinegar A will contain 13 * 12% = 13 * 0.12 = 1.56
9L of 70% vinegar B will contain 9 * 70% = 9 * 0.7 = 6.3
Now, the new mixture has a total volume of 13 + 9 = 22L
The concentration of the new mixture will thus be;
(1.56 + 6.3)/22
= 0.357 and that’s approximately 0.36 or simply 36%
Answer:
it tells u what color
Step-by-step explanation:
Answer:
1.2 kg
Step-by-step explanation:
We need 400 grams of potatoes for 4 people. That means each person will require 400 / 4 = 100 grams.
Now, we have 12 people, so the total number of grams needed will be:
(100 g/person) * (12 people) = 1200 grams
However, we want the answer in kilograms. There are 1000 grams in a kilogram, so divide 1200 by 1000:
1200 / 1000 = 1.2 kg
The answer is 1.2 kg.