Answer:
98.1% chance of being accepted
Step-by-step explanation:
Given:
sample size,n=56
acceptance condition= at most 2 batteries do not meet specifications
shipment size=7000
battery percentage in shipment that do not meet specification= 1%
Applying binomial distribution
<h3>P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)</h3>
In this formula, a is the acceptable number of defectives;
n is the sample size;
p is the fraction of defectives in the population.
Now putting the value
a= 2
n=56
p=0.01
=0.56960+0.32219+0.08949
After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!
An equation that represents the minimum and maximum scores is; |x - 82| = 3.2.
<h3>How to write an absolute value equation?</h3>
The absolute value function is defined by:
f(x) = x, x ≥ 0.
f(x) = x, x < 0.
It measures the distance of a point x to the origin.
For this problem, the distance between the minimum and the maximum scores and the mean is of 3.2, that is, the difference between these scores x and the mean of 82 is of 3.2, hence the absolute value equation that represents this situation is given by:
|x - 82| = 3.2.
Read more absolute Value equation at; brainly.com/question/5012769
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Answer:
V= about 4,222.3 units
Step-by-step explanation:
d=24 so r=12 d/2=r
V= pi r sq times h/3
V=pi 12 sq times 28/3
V= pi 144 (28/3)
V= about 4,222.3
Answer:
Step-by-step explanation:
- Multiply both the matrices on left side, we find:
- Comparing the corresponding elements of both the matrices on both sides, we find:
