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Ira Lisetskai [31]
3 years ago
10

There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books from this s

helf include at least one paperback?
Mathematics
1 answer:
trapecia [35]3 years ago
8 0

\displaystyle \binom{6}{3}\cdot2+\binom{6}{2}=\dfrac{6!}{3!3!}\cdot2+\dfrac{6!}{2!4!}=\dfrac{4\cdot5\cdot6}{2\cdot3}\cdot2+\dfrac{5\cdot6}{2}=40+15=55

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Write the equation in standard form for the circle that has a diameter with endpoints (22,0) and (2,0)
vovikov84 [41]

Answer:

(x - 12)² + y² = 100

Step-by-step explanation:

The standard form of the equation of a circle is;

(x - a)² + (y - b)² = r²

where:

a and b are the coordinates of the centre of the circle

r is the radius

We are given the coordinates of the endpoints of the diameter as; (22,0) and (2,0)

Thus, the centre of the circle would be at the mid point of the endpoints of the diameter.

Coordinates of the centre is;

((22 + 2)/2), (0 +0)/2))

This is;

(12, 0)

So, a = 12 and b = 0

Now,to get the radius r, we will use the formula;

r = √[(x2 - x1)² + (y2 - y1)²]

Where;

(x1, y1) and (x2, y2) are 2 points namely (12,0) and (22, 0)

r = √[(12 - 22)² + (0 - 0)²]

r = √(-10)²

r = √100

r = 10

Thus,equation of the circle is;

(x - 12)² + (y - 0)² = 10²

(x - 12)² + y² = 100

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3 years ago
What is 35÷110 equal
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The cost P, in GHC, of producing n items is given by the formula, P = 3/4n + 1800, find
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Answer:

That is a picture of the answer and the explanation

Step-by-step explanation:

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The expression is equivalent to 49/8.

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$35,000 at 2% for 9 years. ending balance and interest
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Answer:

Solution

Here,

Principle(p)=$35000\\Rate(r)=2%\\\\Time(t)=9 years

Now, Interest(I)=\frac{PTR}{100}

                            =\frac{35000*2*9}{100}\\= $3600

6 0
2 years ago
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