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3 years ago

Find an equation for the nth term of the arithmetic sequence. -3, -5, -7, -9, ...

Mathematics

1 answer:

tankabanditka [31]3 years ago

7 0

Answer:

a(n) = -3 - 2(n-1)

Step-by-step explanation:

The most general formula for the nth term of an arithmetic sequence (such as this sequence is) is

a(n) = a(1) + c(n-1), where c is the common difference.

Here a(1) = -3 and c = -2.

Thus,

a(n) = -3 - 2(n-1).

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A particular sale involves four items randomly selected from a large lot that is known to contain 9% defectives. Let X denote th

umka2103 [35]

Answer:

The expected repair cost is $3.73.

Step-by-step explanation:

The random variable X is defined as the number of defectives among the 4 items sold.

The probability of a large lot of items containing defectives is, p = 0.09.

An item is defective irrespective of the others.

The random variable X follows a Binomial distribution with parameters n = 9 and p = 0.09.

The repair cost of the item is given by:

$C=3X^{2}+X+2$

Compute the expected cost of repair as follows:

$E(C)=E(3X^{2}+X+2)$

$=3E(X^{2})+E(X)+2$

Compute the expected value of X as follows:

$E(X)=np$

$=4\times 0.09\\=0.36$

The expected value of X is 0.36.

Compute the variance of X as follows:

$V(X)=np(1-p)$

$=4\times 0.09\times 0.91\\=0.3276\\$

The variance of X is 0.3276.

The variance can also be computed using the formula:

$V(X)=E(Y^{2})-(E(Y))^{2}$

Then the formula of $E(Y^{2})$ is:

$E(Y^{2})=V(X)+(E(Y))^{2}$

Compute the value of $E(Y^{2})$ as follows:

$E(Y^{2})=V(X)+(E(Y))^{2}$

$=0.3276+(0.36)^{2}\\=0.4572$

The expected repair cost is:

$E(C)=3E(X^{2})+E(X)+2$

$=(3\times 0.4572)+0.36+2\\=3.7316\\\approx 3.73$

Thus, the expected repair cost is $3.73.

4 0

2 years ago

Find the missing length of the triangle. A = 3.4 cm C = 1.6 cm B = ?

postnew [5]

Answer: b = 3

Step-by-step explanation:

1. a^2 + b^2 = c^2

2. 1.6^2 + b^2 = 3.4^2

3. 2.56 + b^2 = 11.56

4. 11.56-2.56 = b^2

5. 9 = b^2

6. 3 = b

4 0

2 years ago

Read 2 more answers

I think the answer is A is this correct? thank you!

likoan [24]

Answer:

x^2 = a/b (option a)

Step-by-step explanation:

If we have square root at the top and bottom then we take single square root with fraction inside

To remove square root we take square on both sides because square and square root will get cancelled

x^2 = a/b is true

6 0

2 years ago

The largest taco contained approximately 1 kg of onion for every 6.8 kg grilled steak. The total weight of these two ingredients

erastovalidia [21]

Answer: Onion = 79.17 kg

Grilled steak = 538.356 kg

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

1 k + 6.8 k = 617.6

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.6

k = 617.6 /7.8

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.8 (79.17) = 538.356 kg

Feel free to ask for more if needed or if you did not understand something.

6 0

3 years ago

Read 2 more answers

Jack invests $1500 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent hi

Reptile [31]

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6 0

3 years ago