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xz_007 [3.2K]
9 months ago
8

Did you get the same sum for both sets of angle measurements? What do you think that means? Create an equation to represent the

situation.

Mathematics
1 answer:
Nostrana [21]9 months ago
8 0

If we know the measure of two of the three angles of a triangle, since the sum of the angles in a triangle aways is 180º, we can write the equation for angles a, b and c:

\begin{gathered} m\angle a=x \\ m\angle b=y \\ m\angle c=z \\ \text{Then,} \\ 180º=x+y+z \end{gathered}

Let's suppose we know x and y, then z is:

z=180º-x-y

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What number divided by -4 equals -3?
worty [1.4K]
12 divided by -4 equals-3 .
7 0
3 years ago
Anyways I’m so close! Sleep here I come lol
a_sh-v [17]

Answer:

558

Step-by-step explanation:

930

x 0.40

-------------

372

Next

372

-930

-----------

558

Hope this helped!

3 0
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Find the area of the compound shape
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There is a 0.9991 probability that a randomly selected 31​-year-old male lives through the year. A life insurance company charge
jarptica [38.1K]

Answer:

a) Monetary values corresponding to the two events are:

-In case of surviving the year = -166$

-In case of a death in the year = 89834$

b) Expected value of the purchasing the insurance is -85 $

c) Yes, insurance company can make a profit with this policy.

Step-by-step explanation:

<em>a)</em> The man need to pay 166$ first to enroll the insurance policy. If he survives within a year, he will lose 166$. Otherwise, if he dies within a year he will profit 89834$.

<em>b)</em> Expected value of the purchasing the insurance as following:

<u>-In case of surviving the year: </u>

Value: -166$

Probability: 0,9991

<u>-In case of death in a year </u>

Value: 89834$

Probability: 0,0009

Expected value is E(x) = -166×0,9991 + 89834×0,0009 = -85 $

<em>c)</em> Lets consider that 10000 different 31 year old man enrolled to this insurance policy. According to probability of death, 9 out of 10000 man expected to be dead within the year. Therefore, company need to pay 9*90000 = 810000$ to their costumers. But, company will collect 10000*166=1660000$ from their costumers in the beginning of the year

So, it is expected that company is going to profit 1660000-810000=850000$ per year.

4 0
3 years ago
44 points in 4 quarters
IgorLugansk [536]
<span>
28 11 points in 1 quarter because 44/4=11 which is 11/1</span>
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