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Natalija [7]
3 years ago
6

A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit contains cards numbered 2 through 1

0, a jack, a queen, a king, and an ace. Jacob Bearint decides to pick one card at random from a standard deck of 52 cards. What is the probability that the card Jacob chooses is either a four or a six? P ( 4 ∪ 6 ) =
Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

Answer:

2 / 13

Step-by-step explanation:

Number of cards in a standard deck = 52

Number of 4's = 4 ( 1 for each suit)

Number of 6's = 4 (1 for each suit)

Probability, P = required outcome / Total possible outcomes

P(a 4) = 4 / 52 = 1/ 13

P(a 6) = 4 /52 = 1/13

Probability of either a 4 or a 6

P(a 4) + P(a 6)

1/13 + 1/13

= 2 / 13

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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?​
Deffense [45]

Answer:

1

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = y-y_1 = m(x-x_1)

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation y=-\frac{3}{4}x+5

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is -\frac{1}{3}.

So, since the given slope is -3/4, the negative reciprocal is \frac{4}{3}.

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

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

The y-intercept of the line is 1.

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Please help me i dont understand ​
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