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3 years ago

The equation of the circle whose center is at (2,1) and the radius is 3 is

1 answer:

8 0

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{1}{ k})\qquad \qquad radius=\stackrel{3}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-2)^2+(y-1)^2=3^2\implies (x-2)^2+(y-1)^2=9$

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An airline estimates that 90% of people booked on their flight actually show up. If the airline books 71 people on a flight for

OLEGan [10]

Answer:

The probability is 0.0144

Step-by-step explanation:

The probability that x people show up follows a binomial distribution, so it is equal to:

Where n is the number of booked people and p is the probability that a person shows up. Then, the probability that x people show up is:

So, the probability that the number of people who show up will exceed the capacity of the plane is:

P(x>73) = P(74) + P(75)

Where P(74) and P(75) are calculated as:

Finally, P(x>73) is:

P(x>73) = 0.0125 + 0.0019 = 0.0144

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2 years ago

Solve the simultaneous equation, 2p - 3q = 4 3p + 2q = 9

Kobotan [32]

Answer:

p = $\frac{35}{13}$ and q = $\frac{6}{13}$

Step-by-step explanation:

Given equations:

2p - 3q = 4 -----------(i)

3p + 2q = 9 ------------(ii)

Let's solve this equation simultaneously using the elimination method

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4] x 3

[3p + 2q = 9] x 2

6p - 9q = 12 -------------(iii)

6p + 4q = 18 -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

[6p - 9q = 12]

- [6p + 4q = 18]

-13q = -6 -----------------(v)

(c) Next, make q subject of the formula in equation (v)

q = $\frac{6}{13}$

(d) Now substitute the value of q = $\frac{6}{13}$ into equation (i) as follows;

2p - 3( $\frac{6}{13}$ ) = 4

(e) Now, solve for p in d above

Multiply through by 13;

26p - 18 = 52

Collect like terms

26p = 52 + 18

26p = 70

Divide both sides by 2

13p = 35

p = $\frac{35}{13}$

Therefore, p = $\frac{35}{13}$ and q = $\frac{6}{13}$

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3 years ago

What are the solutions of the compound inequality -6<=2x-4<4? Graph the solutions

Nata [24]

$-6\leq2x-4 < 4\qquad\text{add 4 to both sides}\\\\-2\leq2x < 8\qquad\text{divide both sides by 2}\\\\-1\leq x < 4$

5 0

3 years ago

Which of the following circles have their centers on the x-axis?

Salsk061 [2.6K]

I think this might be the Answer

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3 years ago

Solve for x..........................

Lelechka [254]

Answer:

Step-by-step explanation:

If your talking about the x where it says 3x in, then

3x = 9

x = 3

4 0

3 years ago