Answer:
b = 5/12
Step-by-step explanation:
You have the proportion
1/(3b) = 4/5
Cross multiply to get rid of the fractions...
5 = 12b now solve for b
5/12 = b (divide by 12 on both sides)
Answer:
$2587.87 per month
Step-by-step explanation:
The listed deductions are ...
- 25% withheld for federal income tax
- 9.3% withheld for California state income tax
- 6.2% withheld for Social Security tax
- 1.45% withheld for Medicare Tax
- 0.9% withheld for SDI- Disability Insurance
- 5% goes into her retirement 401K account
- $150 goes to health insurance/ dental for her family
The percentages have a total of ...
25 +9.3 +6.2 +1.45 +0.9 +5 = 47.85 . . . percent
So, Christine's take-home pay is ...
$5250(1 -0.4785) -150 = $2587.87 . . . per month
Answer:
X = 4, 1
Step-by-step explanation:
Multiplying out
X^2 - 2x - 3x +6 = 2
X^2 - 5x +4 = 0
Factoring:
X^2 - 4x - X +4
X(x-4) - 1(x-4)
(x-1)(x-4)=0
X= 1, 4
5k/2G is the answer to the problem.
The valid probability distributions are the ones in options C and D.
<h3>
Which of the following are valid probability distributions?</h3>
For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:
- All of these probabilities are numbers between 0 and 1.
- p₁ + p₂ + ... + pₙ = 1.
So, for the first rule we can discard the first option, where we have negative probabilities.
To check the other 4 options, just add the probabilities and see if the addition gives 1.
The options that add up to 1 are C and D, so these two are the correct options.
D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1
C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1
If you want to learn more about probability:
brainly.com/question/25870256
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