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UkoKoshka [18]
3 years ago
12

There are four cards numbered 1 through 4. The number 2 card is chosen randomly and not replaced. Find the probability of choosi

ng a second card that is the number 3.
Mathematics
1 answer:
malfutka [58]3 years ago
3 0

Answer:

1/3

Step-by-step explanation:

since number 2 card was not replaced, we have;

probability of picking a second card, 3;

let S be number of sample space

n(S)= 4

n(3)= 1

Pr(3/2)= 1/3

(because since one was already chosen and n, the sample space would reduce)

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If x equals 12, find the value of x2 ?
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Answer:

24

Step-by-step explanation:

2 times 12 equals 24

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3 years ago
Write the equation of a line perpendicular to 9xplus7yequals6 that passes through the point ​(9​,negative 7​).
andrew11 [14]

k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1m_2=-1

We have:

k:\ 9x+7y=6\ \ \ |-9x\\\\7y=-9x+6\ \ \ \ |:7\\\\y=-\dfrac{9}{7}x+\dfrac{6}{9}\to m_1=-\dfrac{9}{7}\\\\l:\ y=m_2x+b\\\\l\ \perp\ k\iff-\dfrac{9}{7}m_2=-1\ \ \ \ |\cdot\left(-\dfrac{7}{9}\right)\\\\m_2=\dfrac{7}{9}\to\ l:\ y=\dfrac{7}{9}x+b

We know. The line <em>l</em> passes throught the point (9, -7). Substitute the coordinates of the poin to the equation of line<em> l </em>:

-7=\dfrac{7}{9}\cdot9+b\\\\-7=7+b\ \ \ \ |-7\\\\b=-14

y=\dfrac{7}{9}x-14\ \ \ \ |\cdot9\\\\9y=7x-126\ \ \ \ |-9y\ |+126\\\\7x-9y=126

Answer: y=\dfrac{7}{9}x-14\to7x-9y=126


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3 years ago
Solve for x and graph the solution on the number line below.
olchik [2.2K]
Search up Algebra Calculator on google and click the first website, it will help a lot and you won’t have to use points
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Step-by-step explanation:

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3 years ago
In a game, the probability of winning is 1 out of 5. How many times could Lisa expect to win if she plays the game 85 times?
Murrr4er [49]

Answer:

17 wins

Step-by-step explanation:

Given

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The number of winnings could simply be calculated as the product of the probability and number of games played.

Expected number of winning : P(winning) * number of games

Expected number of winning = 1/5 * 85 = 17 wins

3 0
3 years ago
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