Answer:
The probability that at least one of the three smoke detectors functions properly = 0.996625
Step-by-step explanation:
Given that:
a certain brand of smoke detector functions properly 85 percent of the time
Let X represent the certain brand of smoke detector
X = 85%
X = 0.85
Let the probability that at least one of the three smoke detectors functions properly be P(Y)
P(Y) = 1- (1 - X)³
P(Y) =1 - (1 - 0.85)³
P(Y) = 1 - 0.003375
P(Y) = 0.996625
∴
The probability that at least one of the three smoke detectors functions properly = 0.996625
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.
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Answer:1/2-3/10=2/10. 4/5-3/10=1/2 or 5/10
Step-by-step explanation:figure it out bc idk how to explain it
3 ×( 13 × 42 ) = (3 × 13)×42. ASSOCIATIVE PROPERTY OF MULT.
1. (6,8)
2. (-8,-6)
EXPLANATION:
1. x^2 +(x+2)^2 = 100
> x^2 +(x+2)^2 = 100-1
>> x^2 +2x - 48 = 0
>>> x - 6 = 0 , x + 8 = 0
>>>> x = 6, -8
2. Y = 8,-8
3. Y = 6, -6
(8,6)
(-8, 6)