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3 years ago

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A box contains five keys, only one of which will open a lock. Keys are randomly selected and tried, one at a time, until the loc

k is opened (keys that do not work are discarded before another is tried). Let Y be the number of the trial on which the lock is opened. Find the probability function for Y.

1 answer:

Schach [20]3 years ago

4 0

Answer:

Step-by-step explanation:

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What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the

kirza4 [7]

<u>ANSWER</u>: The centroid is (1,3)

<u>Explanation:</u>

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.

Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.

We find the midpoint of AC using the formula;

$N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

$N=(\frac{-3+5}{2}, \frac{1+2}{2})$

$N=(\frac{2}{2}, \frac{3}{2})$

$N=(1, \frac{3}{2})$

The equation of the median passes through $B(1,6)$ and $N=(1, \frac{3}{2})$ .

This line is parallel to the y-axis hence has equation

$x=1$ -------first median.

We also find the midpoint M of BC.

$M=(\frac{1+5}{2}, \frac{6+2}{2})$

$M=(\frac{6}{2}, \frac{8}{2})$

$M=(3, 4)$

The slope of the median, AM is

$Slope_{AM}=\frac{4-1}{3--3}$

$Slope_{AM}=\frac{3}{6}$

$Slope_{AM}=\frac{1}{2}$

The equation of the median AM is given by;

$y-y_1=m(x-x_1)$

We use the point M and the slope of AM.

$y-4=\frac{1}{2}(x-3)$

$2y-8=(x-3)$

$2y-x=-3+8$

$2y-x=5$ -------Second median

We now solve the equation of the two medians simultaneously by putting $x=1$ in to the equation of the second median.

$2y-1=5$

$2y=5+1$

$2y=6$

$y=3$

Hence the centroid has coordinates $(1,3)$

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Answer:

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Step-by-step explanation:

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If x=2, what is the value of x (14-x)

RUDIKE [14]

Answer:

24

Step-by-step explanation:

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Ana fue a comprar pan, compró 7 bolillos de $ 1.45, 3 panes de dulce de $ 7.60 y 4 panes de dulce de $ 8.40. ¿Cuánto pagó en tot

xz_007 [3.2K]

Answer:

$66.50

Step-by-step explanation:

Given that

she bought seven 1.45 rolls

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and four 8.40 sweet rolls

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So,

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Lerok [7]

Answer:

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Step-by-step explanation:

18,491 / (2/3)

When dividing by a fraction

flip it over and multiply

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