Answer:AC = 20
BK = 9.6
Step-by-step explanation:
AC is found using the Pythagorean theorem in the usual way:
AC² = AB² + BC²
AC² = 12² + 16² = 144 +256 = 400
AC = √400
AC = 20
You may recognize this is a 3-4-5 triangle scaled by a factor of 4.
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Then BK is found using similar triangles. All of the triangles in the figure are similar*, so ...
long side / hypotenuse = BC/AC = BK/AB
BK = AB(BC/AC) = 12(16/20) = 12×0.8
BK = 9.6
Answer:
A~ Yes, because she can live rent-free for 10 years and receives a larger income for those years.
Step-by-step explanation:
Reverse mortgage loans allow homeowners to convert their home equity into cash income with no monthly mortgage payments.
It is a type of loan for seniors age 62 and older.
So, given is Fiona is 70 years, this age condition is checked.
Fiona opts for the $32,000-a-year reverse mortgage for 10 years. Also given that women of her age live 14 more years on average.
So, yes she did the right thing. She can live rent-free for 10 years and receives a larger income for those years.
If she lives beyond 10 years, she must have saved enough by that time.
Answer:
1/10
Step-by-step explanation:
Step-by-step explanation:
1.
let's define p as the proportion of all correct guesses made by the octopus paul.
<u>null</u><u> </u><u>hypothesis</u>
h0: p = 0.5
<u>alter</u><u>native</u><u> hypothesis</u>
h1: p > 0.5
2.
<u>we</u><u> </u><u>are</u><u> </u><u>to</u><u> </u><u>get</u><u> </u><u>paul's </u><u>samp</u><u>le</u><u> </u><u>prop</u><u>ortion</u>
= p^ = 8/8 = 1
3.
<u>in</u><u> </u><u>this</u><u> </u><u>last</u><u> </u><u>que</u><u>stion</u><u> </u><u>we</u><u> </u><u>a</u><u>re</u><u> </u><u>to</u><u> </u><u>sta</u><u>te</u><u> </u><u>why</u><u> </u><u>this</u><u> </u><u>met</u><u>hod</u><u> </u><u>works</u><u> </u><u>for</u><u> </u><u>assumi</u><u>ng</u><u> </u><u>that</u><u> </u><u>null</u><u> </u><u>hypothesis</u><u> is</u><u> </u><u>true</u><u>.</u>
the reason is that the null hypothesis was stated as p = 0.5 and we know that a coin would land as head 50% or half of the time.
thank you!