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Agata [3.3K]
3 years ago
6

If two cards are drawn without replacement from a deck, find the probability that the second card is red, given that the first c

ard was a heart.
Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

A full deck has 52 cards.

Half the cards are red, so 52/2 = 26 cards are red.

Hearts and diamonds are red.

Since the first card that was picked was hearts ( red), that means that there would be 25 red cards left and 51 total cards.

The probability the second card is red would be 25/51

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Answer:

Fail to reject the null hypothesis.

Step-by-step explanation:

People who live in Florida and also have annual pass to Disney world is 221, sample size selected for group 1 is 350.

People who do not live in Florida and have annual pass to Disney world is 365, sample size selected for Group 2 is 650.

Group 1 sample proportion is : 221 / 350 = 0.6314

Group 2 sample proportion is 365 / 650 = 0.5615

Test statistics is 0.8317

Since test stats value is greater than the sample proportion significance level, we fail to reject the null hypothesis.

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On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg
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Answer:

Slope of PQ = 0

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PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points  (x1, y1),  (x2, y2)given in coordinate plane slope is given by

y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\

For any line if slope is zero it is parallel  to X axis and perpendicular to Y axis

For any line if slope is infinity it is parallel  to Y axis and perpendicular to X axis

Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel  to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel  to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

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3 years ago
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Step-by-step explanation:

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A

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3 years ago
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