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3 years ago

What is the measure of minor arc MC?

Mathematics

2 answers:

finlep [7]3 years ago

7 0

A minor arc measures less than 180 degrees.

ella [17]3 years ago

4 0

Formula for the length if minor arc is =central angle/360 × 2×pi×r
putting values in this formula u can get length of minor arc

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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:

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

b) Expected value of the purchasing the insurance as following:

-In case of surviving the year:

Value: -166$

Probability: 0,9991

-In case of death in a year

Value: 89834$

Probability: 0,0009

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

c) 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.

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4 years ago

What is the solution to the system of equations?

yarga [219]

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

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4 years ago

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madam [21]

Answer:

78 is the probability of spinning

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3 years ago

A security expert claims that exactly 13% of all homeowners have a home security alarm. State H0 and Ha in words and in symbols

soldi70 [24.7K]

Answer:

Two tailed

Step-by-step explanation:

Given that a security expert claims that exactly 13% of all homeowners have a home security alarm.

Here we have to check whether the contention of security expert is correct or not

The test is to be done for the proportion of homeowners who have a home security alarm to total homeowners.

Let p be the proportion.

For this we set up hypotheses as:

$H_0 = p = 13%=0.13\\H_a: p \neq 0.13$

This is a two tailed test

Because alternate is for not equal to. If alternate is for > or < we say one tailed and if not equal to we say two tailed.

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3 years ago

Find the measure of z. A. 80° B. 83 ° C. 70 ° D. 87 °

Digiron [165]

z and 100 are on the same line so the total is 180

180-100=z

80=z

Please give Brianest

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