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!
<span>6.1875 inches would be 9 / 16 ths of 11 inches
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Q1: The perimeter of the triangle is a + b + c and if each side is the same then it's 3a. In this situation we may write it in its simplest form as 9m. Note that 3(3m) is also correct but it's not the simplest form.
Q2: You're correct, the distributive property of 3(3m) can be written as 3 (2m + m).
His cousin paid 4 per mile. You have to find the unit rate and you find that by dividing 12 by 3 which gives you 4.
Y = mx +b whre m is the slope and b is the y-intercept.
We have the slope 3/4 so put that instead of m
y = 3/4x + b
Now to find the y-intercept (b), plug the ordered pair in and solve for b.
-4 = 3/4 * 5 + b
-4 = 15/4 + b
-31/4 + b
So y = 3/4x - 31/4
