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Basile [38]
2 years ago
6

Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
STALIN [3.7K]2 years ago
6 0

Answer:

x = 10.2

Step-by-step explanation:

To find x, use Cosine

Cosine = \frac{adjacent}{hypothenuse}

⇒ Cosine 22 = \frac{x}{11}

Cosine of 22 is 0.93

⇒ 0.93 =  \frac{x}{11}

Multiply 11 on both sides:

⇒ 0.93 x 11 = \frac{x}{11} x 11

⇒ 10.23

Round to the nearest tenth:

10.23 ⇒ 10.2

x = 10.2

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Answer:

11

Step-by-step explanation:

4d=44

4d/4=44/4

d=11

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8 0
3 years ago
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
Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian
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25-14=11 and 26.5-21=5.5
11 paperback books
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