Answer:
solution:
x = pounds of cashews = 20
y = pounds of peanuts = 70
Step-by-step explanation:
x = pounds of cashews
y = pounds of peanuts
---
4.75x + 2.50y = 3.00*90
x + y = 90
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put the system of linear equations into standard form
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4.75x + 2.50y = 270
x + y = 90
The answer to one would be 25534
Answer: the probability that a measurement exceeds 13 milliamperes is 0.067
Step-by-step explanation:
Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = current measurements in a strip.
µ = mean current
σ = standard deviation
From the information given,
µ = 10
σ = 2
We want to find the probability that a measurement exceeds 13 milliamperes. It is expressed as
P(x > 13) = 1 - P(x ≤ 13)
For x = 13,
z = (13 - 10)/2 = 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.933
P(x > 13) = 1 - 0.933 = 0.067
Answer:
Step-by-step explanation:
We can use some logarithmic rules to solve this easily.
<em>Note: Ln means 
</em>
<em />
Now, lets start with the equation:
Writing left side with logarithmic base e, we have:
We can now use the property shown below to make this into exponential form:
So, we write:
We recognize another property of exponentials:
So, we write:
Also, another property of natural logarithms is:
Now, we simplify:
This is the answer.
