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andriy [413]
3 years ago
12

Employees at Lancaster Manufacturing are responsible for paying 38% of their annual health insurance premium. If the total month

ly premium for an individual policy is $92.50, how much does the company pay annually for each individual policy?
Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0
Employee annual cost is $1,110.00 and 38% of that is $421.80 that the employee pays.

So the company annually pays $688.20 for each policy
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Evaluate C(9, 3). a)504 b)84 c)60480 d)5040
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Answer:

b

Step-by-step explanation:

Evaluate using the definition

nC_{r} = \frac{n!}{r!(n-r)!}

where n ! = n(n - 1)(n - 2)(n - 3)..... × 3 × 2 × 1

Given

9C_{3}

= \frac{9!}{3!(9-3)!}

= \frac{9.8.7.6.5.4.3.2.2.1}{3!.6!}

= \frac{9.8.7.6.5.4.3.2.1}{3.2.1(6.5.4.3.2.1)}

Cancel 6.5.4.3.2.1 on numerator and denominator, leaving

= \frac{9.8.7}{3.2.1}

= \frac{504}{6}

= 84 → b

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Step-by-step explanation:

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Damm [24]

Answer:

(a) The probability distribution is valid.

(b) The probability that x = 30 is 0.30.

Step-by-step explanation:

The probability distribution of the random variable <em>X</em> is:

<em>    x</em>:  20   |  25  |  30   |   35

f (<em>x</em>): 0.20 | 0.15 | 0.30 | 0.35

(a)

The properties of a probability distribution are:

  1. 0 ≤ P (X) ≤ 1
  2. ∑ P (X) = 1

All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

\sum P(X)=0.20+0.15+0.30+0.35=1

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

The probability of <em>X</em> = 30 is,

P (X = 30) = 0.30.

Thus, the probability that x = 30 is 0.30.

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