Answer: $609.88
Explanation:
Since Mary has two accidents in one year, we will use the note in the problem to compute for the new annual premium.
Using the note in the problem, we have the following steps:
- Subtract $32 from the original premium:
Result = $417.25 - $32 = $<span>385.25
- Then, get 150% of the resulting number in the previous step. First, convert 150% to decimal. So, 150% = 1.5
Result = </span>150% of $385.25 = 1.5 × $385.25 = $<span>577.875
- Finally to get the new premium, we add $32 to the resulting number in the previous step:
New Premium = </span>$577.875 + $32 = $<span>609.875
</span><span>
Since there is no half cents that exists today, we round-off the new premium to the nearest cent. Hence, the new premium is $</span><span>609.88.</span><span>
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Hello!
Since x = y you can turn the problem into
-5x - 3x = 16
Combine like terms
-8x = 16
divide -8 from both sides
x = -2
since x = y
y= -2
Hope this helps!
No i dont think so but i could be wrong i will double check to be sure though
Answer: 0.243
Step-by-step explanation:
Binomial probability distribution formula :-
![P(X=x)= ^nC_xp^x(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%20%5EnC_xp%5Ex%281-p%29%5E%7Bn-x%7D)
As per given we have,
Probability that the person will not be with the company next year : p=0.1
Sample size = n= 3
Let x be a binomial variable that represents the number of employees will not be with the company next year.
Then, the probability that 1 of them will leave the company this year :-
![P(X=1)= ^3C_1(0.1)^1(0.9)^{3-1}\\\\=(3)(0.1)(0.9)^2\ \ [\because ^nC_1=n]\\\\=0.243](https://tex.z-dn.net/?f=P%28X%3D1%29%3D%20%5E3C_1%280.1%29%5E1%280.9%29%5E%7B3-1%7D%5C%5C%5C%5C%3D%283%29%280.1%29%280.9%29%5E2%5C%20%5C%20%5B%5Cbecause%20%5EnC_1%3Dn%5D%5C%5C%5C%5C%3D0.243)
Hence, the probability that 1 of them will leave the company this year =0.243