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!
Answer:
Jaya can afford to rent a car 4 days while staying within her budget.
Step-by-step explanation:
The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:
53.75x+0.12y≤230, where:
x is the number of days the car is rented
y is the number of miles driven
As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:
53.75x+0.12(125)≤230
53.75x+15≤230
53.75x≤230-15
53.75x≤215
x≤215/53.75
x≤4
According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.
Answer:
<h2>
y = -⁵/₂x - 12
</h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -⁵/₂
(-4, -2) ⇒ x₀ = -4, y₀ = -2
The point-slope form of the equation:
y + 2 = -⁵/₂(x + 4)
So:
y + 2 = -⁵/₂x - 10 {subtract 2 from both sides}
y = -⁵/₂x - 12 ← the slope-intercept form of the equation
Answer:
The amount of acid in third container is =42%
Step-by-step explanation:
Given , one container is filled with a mixture that is 30% acid a second container filled with a mixture that is 50% acid and the second container 50% larger than the first .
Let, the volume of first container is = x
Then , the volume of second container = (x+ x of 50%)
= x + 0.5 x
= 1.5 x
Therefore the amount of acid in first container 
= 0.3 x
The amount of acid in second container 
= 0.75x
Total amount of acid= 0.3x + 0.75x = 1.05 x
Total amount of solution = x+1.5x = 2.5x
The amount of acid in third container is = 
%
= 42%
Answer:
1.101, 1.001, and 0.113
Step-by-step explanation:
the first on is the highest
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