Answer:
$466
Step-by-step explanation:
Represent her salary by s. Then the amount spent on rent is s/2.
After spending 168 on her electric and water bills, she had s/2 - 168 dollars left. She spent half of this on her phone bill, leaving her with
s/2 - 168
-------------- dollars.
2
After buying $57 worth of gas, she had
s/2 - 168
-------------- - 57 dollars left, and this came to $92.
2
We must now solve for s.
First, multiply all three terms by 2. We get
s/2 - 168 - 2(57) = 2(92), or
s/2 - 168 - 114 = 184
Simplifying this, we get s/2 = 168 + 114 + 184, or s/2 = 466.
She spent half her salary (that is, half of s) on rent. As seen above, this is $466.
Answer:
The required probability is 0.167
Step-by-step explanation:
Consider the provided information.
Let x be the number of breakdown per day.
A new automated production process averages 1.4 breakdowns per day.
λ=1.4
Probability of having three or more breakdowns during a day is:
![P(x\geq 3)=1-[f(0)+f(1)+f(2)]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5Bf%280%29%2Bf%281%29%2Bf%282%29%5D)
The Poisson probability function is: 
Therefore the required probability is:
![P(x\geq 3)=1-[\frac{\left(1.4^{0}e^{-1.4}\right)}{0!}+\frac{\left(1.4^{1}e^{-1.4}\right)}{1!}+\frac{\left(1.4^{2}e^{-1.4}\right)}{2!}]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5B%5Cfrac%7B%5Cleft%281.4%5E%7B0%7De%5E%7B-1.4%7D%5Cright%29%7D%7B0%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B1%7De%5E%7B-1.4%7D%5Cright%29%7D%7B1%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B2%7De%5E%7B-1.4%7D%5Cright%29%7D%7B2%21%7D%5D)
Hence, the required probability is 0.167
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❖ You can use the equation 16 ÷ 12 = 1.33
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