Table is not shown
Any how, the rule is quite simple
For like fractions,
a) write the denominator one time
b) Subtract the values in the numerator.
Answer:
B'(-5,-6)
Step-by-step explanation:
The mapping for 180° clockwise rotation about the origin is:
The find the image of B(5,6), we plug in x=5 and y=6 into the rule.
Therefore the coordinates of B' are (-5,-6).
Answer:
Step-by-step explanation:
From the picture we find that the sphere and the cylinder has equal heights.
i.e. cylinder has height = 2r.
x,y and r form a right triangle with hypotenuse as r.
Hence pythagorean theorem is satisfied
Area of the cross section parallel to it is area of circle with radius y
=
Volume of cylinder when 2 cones removed =
Hence volume of sphere =
The probability that I will end up with one card from each suit is 3/32 when I choose four cards from a standard-card deck, with replacement. This can be obtained by finding probability of each draw.
<h3>What is the required probability?</h3>
- The probability of drawing first card is one, that is the card can be of any suite.
- The probability of drawing second card is,
⇒ 52 cards - 13 cards (1 suite) = 39 cards (remaining 3 suites)
On the second draw, we have a (39/52) = (3/4) probability of drawing a different suite from the first draw
- The probability of drawing third card is,
⇒ 52 cards - 26 cards (2 suite) = 26 cards (remaining 2 suites)
On the third draw we have a (26/52) = (1/2) probability of drawing a suite different from the first two draws
- The probability of drawing fourth card is,
⇒ 52 cards - 39 cards (3 suite) = 13 cards (remaining 1 suites)
On the last draw we have a (13/52) = (1/4) probability of drawing a different suite from the ones we drew on the first three draws
So the probability = (1) (3/4) (1/2) (1/4) = 3/32
Hence the probability that I will end up with one card from each suit is 3/32 when I choose four cards from a standard-card deck, with replacement.
Learn more about probability here:
brainly.com/question/17058636
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