Answer:
let the numbers be xy
general form of the number =10x+y
sum of digits of a number =14
x+y=14………[1]
if 18 is added to the number, then digits are interchanged
10x+y+18=10y +x
9x-9y=-18
X-y=-2………[2]
the linear equations are 1) x+y=14
2) X-y=-2
adding [1],[2]
2x=12
x=6
x+y=14
y=14-x
y=14-6
y=8
there fore the number =10*6+8
=68
check:-
1)6+8=14
2)68+18=86
I hope this helped!
Step-by-step explanation:
(-5,0) is inside the circle
Answer:
Expected Value = -$42 (loss of 42 dollars)
Step-by-step explanation:
Complete Question Below:
<em>"There is a 0.9986 probability that a randomly selected 33-year-old male lives through the year. A life insurance company charges $182 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $110 comma 000 as a death benefit. If a 33-year-old male purchases the policy, what is his expected value?"</em>
<em />
We can say P(survival) = 0.9986 and thus P(not survival) = 1 - P(survival) = 1-0.9986 = 0.0014
Also,
In case 33 year old doesn't live, the payment would be 100,000 - 182 = $99,818
And
In case 33 year old lives, the payment is
-$182
We know, the <em>expected value is the sum of the product of each possibility with its probability.</em>

This means a loss of $42 (or -$42)
Answer:
the estimated answer is B: 2.50.
<em>(</em><em>the</em><em> </em><em>exact</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>2</em><em>.</em><em>4</em><em>8</em><em>,</em><em> </em><em>but</em><em> </em><em>rounding</em><em> </em><em>up</em><em> </em><em>would</em><em> </em><em>make</em><em> </em><em>it</em><em> </em><em>2</em><em>.</em><em>5</em><em>0</em><em>)</em>
False, because a^2+b^2=c^2 and no matter what numbers substitute for which ever variable the answer isn’t going to be true