Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.
For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- The sample has 20 pills, hence
.
- 100 - 4 = 96% are acceptable, hence
The probability that <u>fewer that 5 in a sample of 20 pills</u> will be acceptable is:
In which
0% probability that fewer that 5 in a sample of 20 pills will be acceptable.
A similar problem is given at brainly.com/question/24863377
Answer:
x = 2
Step-by-step explanation:
8
−
8
−
=
3
(
6
−
2
)
{\color{#c92786}{8x}}-8{\color{#c92786}{-x}}=3(6-2x)
8x−8−x=3(6−2x)
7
−
8
=
3
(
6
−
2
)
We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function: 
where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.
We know that an exponential decay function is in form 
, where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = time.
Upon comparing our given function with standard decay function , we can see that 
.
Let us solve for r.
Let us convert 0.24 into percentage.
Therefore, the decay rate is 24%.
Answer:
AB = 16 units
Step-by-step explanation:
Given the coordinate (-4, 9) and (-4, -7)
Using the formula for calculating the distance between two points
AB = √(x2-x1)²+(y2-y1)²
AB =√(-7-9)²+(-4+4)²
AB = √(-16)²+0²
AB = √16²
AB = 16 units
Hence the distance between Point A and Point B is 16 units
Answer:
809.4cm²
Step-by-step explanation:
Given the following :
Systematic error = 3.8cm (The measured length is always more than the actual length.)
Most probable dimension :
Width = 85.7 cm
Length = 123.5 cm
Hence most probable area of Rectangle :
Area = Length × Width
Area = 85.7cm × 123.5cm = 10583.95 cm²
Dimension due to Systematic error :
Length = (85.7cm + 3.8cm) = 89.5cm
Width = (123.5cm + 3.8cm) = 127.3cm
Area = Length × width
Area = ( 89.5cm × 127.3) = 11393.35cm²
Systematic error of the area :
value of area with Systematic error - Probable value of area :
11393.35cm² - 10583.95 cm² = 809.4cm²
