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mel-nik [20]
3 years ago
15

Suppose a family has a gross annual income of ​$39,600.

Mathematics
1 answer:
Natalka [10]3 years ago
8 0
According to financial advisers,
<span>* mortgage payment should be at most </span><span>28% of your gross monthly income
</span><span>* total monthly debt should be at most </span><span>36% of your gross monthly income.  Total monthly debts include </span><span>mortgage payments, car payments, credit card bills, student loans, and medical debt.\</span>

<span>gross annual income: 39,600</span>

gross monthly income: 39,600 / 12 = 3,300

a) maximum amount for monthly mortgage payment: 3,300 x 28% = 924

b) maximum amount for total credit obligations: 3,300 x 36% = 1,188

c) mortgage: 924 x 70% = 646.80 actual mortgage

1,188 - 646.80 = 541.20 maximum amount they could spend each month for all other debts.

<span>
</span>

<span>
</span>

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Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

1) Both surgeries are successful (X=2).

P(e_1)=0.90*0.67=0.603

2) Left knee unsuccessful and right knee successful (X=1).

P(e_2)=(1-0.9)*0.67=0.1*0.67=0.067

3) Right knee unsuccessful and left knee successful (X=1).

P(e_3)=0.90*(1-0.67)=0.9*0.33=0.297

4) Both surgeries are unsuccessful (X=0).

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Then, the mean can be calculated as the expected value:

M=\sum p_iX_i=0.603*2+0.067*1+0.297*1+0.033*0\\\\M=1.206+0.067+0.297+0\\\\M=1.57

The variance can be calculated as:

V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111

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