<span>Let us start with the percentage of premium paid by Javier. Since the employer pays 43%, the remaining 57% (100-43) is paid by Javier. Now let us find out how much is deducted from his paychecks during the year. In one month, $157.38 x 2 = $314 .76 is deducted by the employer. So in 12 months, the amount equal to 57% of the health premium will be $314.76 x 12 = $3777.12.
If $ 3777.12 is 57% of a certain number, to find the number, multiply $3777.12 with the reciprocal of the fraction. (57/100)
So the unknown number = $3777.12 * 100/57 = $6626.53
Javier's total annual health premium, therefore, is $6626.53</span>
Answer:
81:324
Step-by-step explanation:
3+12=15
405 div 15 =27
3 times 27 = 81
12 times 27 = 324
81:324
x = [-3 +/- √(3^2 - 4*1*2) ] / 2
= [- 3 + √( 1)] / 2 , [- 3 - √( 1)] / 2
= -2/2 , -4/2
= [-1, -2} answer
The probability of the success will be 0.3826.
<h3>What is binomial distribution?</h3>
Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by

We have
n = 8
p = 0.1
q = 1 – 0.1 = 0.9
x = 1
Then we have
P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷
P(1) = 0.3826
Learn more about binomial distribution here:
brainly.com/question/13609688
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Answer:
Step-by-step explanation:
<u>The amount to pay:</u>
- $1512 + 9% =
- $1512*1.09 =
- $1648.08
<u>The amount paid back:</u>
- 82% of $1648.08 =
- 0.82*1648.08 =
- $1351.43