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4 years ago

Determine the first five terms of the sequence whose nth term is defined as follows. Please enter the five terms in the

Mathematics

1 answer:

katen-ka-za [31]4 years ago

5 0

If the question is what is 3n-6
Then the answer is 3(n-2)

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Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll wil

bekas [8.4K]

The outcomes of rolling fair six sided die is $\{1,2,3,4,5,6\}$ . The prime numbers in the above outcomes are $\{2,3,5\}$ . The probability of not rolling a prime number is $p=\frac{3}{6}= 0.5$ .

Each trial is independent.

In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is

$P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100$ . Since $p=0.5,1-p=0.5$

$P(X=x)=C(100,x)0.5^x(0.5)^{100-x},x=0,1,2,3,...,100 \\ P(X=x)=C(100,x)(0.5)^{100},x=0,1,2,3,...,100$

8 0

3 years ago

Read 2 more answers

Find the center and radius of this

ipn [44]

$\text{Hello there! :)}$

Answer:

$\boxed{\text{Center at } (7, -4), \text{ Radius of } 7.}$

$\text{Formula for a circle: } (x - h)^{2} + (y - k)^{2} = r^{2} \text{ Where:}$

$h = \text{ x-coordinate of center}\\\\k = \text{ y-coordinate of center}\\\\r = \text{ radius}\\\\\text{Therefore:}$

$\text{In the equation } (x - 7)^{2} + (y + 4)^{2} = 49:$

$h = 7\\\\k = -4\\\\r = \sqrt[]{49} = 7 \\\\\text{So:}$

$\text{Center at } (7, -4), \text{ Radius of } 7.$

3 0

3 years ago

Read 2 more answers

Wave Corporation began the current year with a retained earnings balance of $25,000. During the year, the company corrected an e

Hitman42 [59]

Answer:

$30,000.

Step-by-step explanation:

Wave Corporation began the current year with a retained earnings balance of $25,000.

Depreciation expense was of $5000

During the current year, the company earned net income of $15,000

Also gave cash dividends of $5,000.

So, year end retained earnings will be :

Year end retained balance = total net income minus net losses and dividends.

$25000-5000+15000-5000=30000$ dollars

The answer is $30,000.

7 0

3 years ago

When the town of Manning first started its voluntary recycling program, 2500 of the town's residence participated. The town pred

Paraphin [41]

Answer: The correct answer is Choice D.

This is an example of an exponential equation. They are in the form of y=ab^x, where a is the starting value, b is the rate and x is the number of years.

Our data starts at 2500 and increases by 5%, or 100% + 5% = 1.05.

If you put them together, you have the equation y = 2500(1.05)^x, Choice D.

3 0

3 years ago

Given the diagram below, if H is the centroid of ABCD,

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

7 0

3 years ago