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sesenic [268]
3 years ago
13

Answer the question that follow about the given sequence. “Does not exist” and “none” are valid answers. Blank answers will be c

ounted incorrect. -33, -27, -21, -15, … a. Arithmetic/Geometric/Neither? b. State the Common Ratio or Common Difference. c. Find the explicit formula for the nth term d. Find the recursive formula for the nth term e. Value of the 10th term f. ∑ notation for the Infinite Series. g. Sum of the Infinite Series.
Mathematics
1 answer:
sashaice [31]3 years ago
4 0

Answer:

  • it's an arithmetic sequence with common difference 6
  • An=6n-39, A10=21
  • Sn=3n'2-(39/2)n

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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
3 years ago
Verify the identity. Show your work.<br> cot0 x sec0= csc0
BabaBlast [244]

(by 0 i mean the "theta" sign)

cot0 x sec0 = csc0

(cos0/sin0) x (1/cos0) = 1/sin0

1/sin0 = 1/sin

6 0
3 years ago
In a group of 33 students, 7 study both Art and Biology. 10 study Biology but not Art. 7 study neither subject. How many study A
netineya [11]

Answer:

9

Step-by-step explanation:

4 0
3 years ago
2y • 3 when y = 8 this is so hard
emmainna [20.7K]
2y * 3
2(8) * 3
16 * 3
48
The answer is 48 when y = 8
3 0
3 years ago
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Whats a common facter of 32 and 36
KengaRu [80]
Common Factors of 32 and 36 
factors of 32 = 1, 2, 4, 8, 16 and 32
factors of 36 = 1, 2, 3, 4, 6, 9, 18, 36
<span>So the common </span>factors of 32 and 36 are 1, 2 and 4.
The greatest common factor is 4
4 0
3 years ago
Read 2 more answers
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