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marysya [2.9K]
2 years ago
12

Which pair of angles are congruent or supplementary

Mathematics
1 answer:
Fittoniya [83]2 years ago
6 0
Angles 1 and 3 are supplementary
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An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the
lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

            4000 if the device fails during the first year. The amount of the

            benefit decreases by 1000 each successive year until it reaches 0.

            If the device has not failed by the beginning of any given year, the

            probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x       4000       3000             2000            1000              0

P(x)                 0.4         0.6×0.4         0.6² × 0.4     0.6³ × 0.4     1 - 0.8704

                      (0.4)       (0.24)            (0.144)         (0.0864)       (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

       = 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

       = 1600 + 720 + 288 + 86.4 + 0

       = 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0
2 years ago
Which graph shows the solution to the equation below? log Subscript 3 Baseline (x + 3) = log Subscript 0.3 (x minus 1)
weqwewe [10]

Answer:

The answer is 20

Step-by-step explanation:

(Edge2020)

8 0
3 years ago
Read 2 more answers
Simplify. 9y - 8y - y =
olga nikolaevna [1]
9y-8y-y= 9-8-1 = 0y =0

subtract all like terms
8 0
3 years ago
A TV station wants to conduct a survey to determine which sport should be shown on Sunday in the viewing area: a football game o
love history [14]

Answer:

I'm not completely sure about this. The answer is B.) Sample 2: 50 boys and 50 girls at the local middle school. :)

Step-by-step explanation:

8 0
3 years ago
Find the sum of 4x ^ 2 - 7 and 6x ^ 2 - 5 .
almond37 [142]

Answer:

10x² - 12

Step-by-step explanation:

4x² - 7 + 6x² - 5 (combine like terms)

10x² - 12

3 0
3 years ago
Read 2 more answers
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