Answer:
There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.
Step-by-step explanation:
With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:
- n=4 (the amount of batteries picked for the sample).
- p=3/10=0.3 (the proportion of dead batteries).
- k≥1 (the amount of dead batteries in the sample needed to not sell the package).
The probability of having k dead batteries in the sample is:

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

Answer:
120
Step-by-step explanation:
Answer:
You have to invest $6,250
Step-by-step explanation:
very simple applying the simple interest formula which is

Given data
A, final amount
= $10,000
P, initial principal balance= ?
r, annual interest rate
= 7.5%
t, time (in years)= 8 years
we can substitute our given data to find the principal needed.

Divide both sides by 1.6 we have

P= $6,250
Answer:
86°
Step-by-step explanation:
180° is the sum of all angles in a triangle
The two angles given are 68° and 26°
The equation is : 180° - 68° - 26° = x°
180° - 68° - 26° = 86°
x° = 86°
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-Chetan K
The percentage of youth that are category 10 to 12 is the quotient of their frequency to the total frequency
55% of the actors are 10 to 12 years old
<h3>How to determine the percentage?</h3>
From the complete question, we have the following parameters
- Age 10 - 12 = 22 youths
- Total youth = 40
The percentage of youth in the age category 10 - 12 is then calculated as:
Percentage = Frequency of age category 10 - 12/Total frequency
This gives
Percentage = 22/40
Evaluate the quotient
Percentage = 55%
Hence, 55% of the actors are 10 to 12 years old
Read more about frequency tables at:
brainly.com/question/16148316