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elixir [45]
3 years ago
5

Charlotte has appointed a chairperson to lead a city beautification project. The first act is to install statues and fountains i

n one of the city's parks. A statue is to be placed in the center of the park. The area of the base of the statue is 4x^2 + 12x + 9m^2. Factor the area of the base of the statue.
Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

Net Income of $6,800,000

Increase in Accounts Payable of $200,000

Decrease in Accounts Receivable of $800,000

Depreciation of $1,600,000

Increase in Inventory of $300,000

Other Adjustments from Operating Activities of $400,000

Assuming no other cash flow adjustments than those listed above, create a statement of cash flows with amounts in thousands....

Step-by-step explanation:

<h2>plz bhai mera answer ko brainliest kar do...</h2>
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There is a bag filled with 3 blue and 4 red marbles.
tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 3 + 4 = 7 marbles, hence N = 7.
  • Of those, 3 are blue, hence k = 3.
  • 2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857

P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429

Hence:

p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0
2 years ago
A number multiplied by -8, subtracted from the sum of 14 and five times the number
Charra [1.4K]

Let us suppose the number is x. Now we try to make an algebraic expression going step by step.

Step 1:

Five times the number means 5 multiplied by x.

So it becomes 5x.

Step 2:

Sum of 14 and five times the number means 5x+14.

Step 3:

Number multiplied by -8 means -8x.

Step 4:

Subtract the expression in step (3) from expression in step (2)

5x+14-(-8x)

Now we can simplify it further,

5x+14+8x

Combining like terms,

13x+14

Answer: The final expression becomes 13x+14.

7 0
3 years ago
Read 2 more answers
Write an equation in slope intercept form for the line thepasses through (-1,-6) and is parallel to x+3y=6
enot [183]

Answer:

The slope-intercept form equation of the line that passes through (1, 3) and (3, 7) is y = 2x +1.

Step-by-step explanation:

7 0
2 years ago
The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?
vlada-n [284]
80 because when u do 10 times 8 it’s 80
3 0
2 years ago
Which of the following values of x are solutions to the equation 4x^2+x-60=0​
Vladimir79 [104]

Answer:

x = 15/4, - 4

Step-by-step explanation:

I'm not sure :p

5 0
3 years ago
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