The product of 2 more than 3 times a number and 6 less than 4 times the number (z)

Mathematics

1 answer:

Rom4ik [11]1 year ago

7 0

Answer:

$12z^{2} -10z -12$

Step-by-step explanation:

Let the number be z

2 more than 3 times z ==> 3z + 2

6 less than 4 times z ==> 4z - 6

Product of the above two is
$(3z + 2) (4z - 6) \\= (3z)(4z) + (3z)(-6) + (4z)(2) + (2)(-6)\\= 12z^{2} -18z + 8z - 12\\= 12z^{2} -10z -12$

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Out of 5000 policies for cell phones, a company received 585 claims. The average amount paid on the claims was $80. If the annua

Ede4ka [16]

Answer:

the customer's expected value of the cellphone insurance policy is -$38.64. (Option C)

Step-by-step explanation:

Based on the data given, 585/5000 or 11.7% of the total number policies have claims. This means, 100% - 11.7% = 88.3% have not claimed their cellphone insurance.

In the chart, we are focusing on the customer's end because the question is asking for the customer's expected value↓

In the chart, if the customer has no claims, then he losses his $48. However, if he has claims, he gains $32 since $80 - 48 = $32. Also, based on the data given by the company, 88.30% have no claims and only 11.7% of the customers have claims.
To get the expected value, we will multiply -48 and 88.3% as well as 32 and 11.7%. 48 is negative because it indicates a loss.

Therefore, your Answer is -38.64