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!
First, let's simplify each expression by combining like terms:
A: 9x-3x-4 = 6x-4
B: 12x-4 = 12x-4 (Already Combined terms)
C: 5x+x-4 = 6x-4
When looking at the list of equations, it is clear that only Expression A and C are equivalent. Brianna failed to combine like terms and plug in more points than 0.
I Hope this Helps!
-Sinnamin
Ralph is 3 years old
Casey is 18 years old
Step-by-step explanation:
Let the age of Ralph be x
Then Casey is 6 times as old as Ralph will be 6x
In two years
Ralph =x+2
Casey=6x+2 ⇒ 4(x+2)
Equate the two equations for Casey as
6x+2 = 4x+8
6x-4x=8-2
2x=6
x=6/2= 3
Current age;
Ralph= x= 3 years old
Casey=6x = 6*3= 18 years
Learn More
Forming expressions and solving equations;brainly.com/question/1280754
Keywords :six, times, years
#LearnwithBrainly
Answer:
7. F=24N
8. P=16N
Step-by-step explanation:
the sum of all forces will equals 0
Uh do you mean he earned $225 per week?
If yes, then he earned 45 per day.
