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Soloha48 [4]
3 years ago
15

Solve the system of equations

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

Answer:

Step-by-step explanation:

-4x + 2y = -30

-2x + 2y = -10

-4x + 2y = -30

 2x - 2y = 10

-2x = -20

x = 10

-2(10) + 2y = -10

-20 + 2y = -10

2y = 10

y = 5

(10, 5)

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expeople1 [14]

Answer:

13

Step-by-step explanation:

3 0
3 years ago
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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
Yolanda's club has 50 members. It's rules require that 60% of them must be present for any vote. At least how many members must
HACTEHA [7]
If you do 60% then you put the percent two times over the the left so 0.60 then you would do 0.60 times 50 so that would be 30. 30 of the members must vote. Hopefully that helped?
7 0
3 years ago
Hello Brainly Teacher Brainly Moderators and trusted helpers!​
tatyana61 [14]

Answer:

  • P(x < 84) = 0.3085 or approximately 31%

============

<em>Hello to you from Brainly team!</em>

<h3>Given</h3>

  • Mean grade μ = 86,
  • Standard deviation σ = 4,
  • Grade limit x = 84.

<h3>To find </h3>

  • Probability of that a randomly selected grade is less than 84 or P(x < 84).

<h3>Solution</h3>

Find z-score using relevant equation:

  • z = (x - μ)/σ

Substitute values and calculate:

  • z = (84 - 86)/4 = - 0.5

Using the z-score table find the corresponding P- value.

  • P(x < 84) = 0.30854 or approximately 31%
4 0
2 years ago
A teacher can spend as much as $125.00 to take students to a movie.
Stels [109]

<em>Thank you very much for the points friend! It's helping</em> a lot!

4 0
2 years ago
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