Which of the following is equivalent to (6/x)2?
1 answer:
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Answer:
Step-by-step explanation:
Volume of cylinder:
<u>Bottom cylinder:</u>
1 inch = 2.54 cm
diameter = 14 in
r = 14/2 = 7 in
r = 7 *2.54 = 17.78 cm
h = 4 in = 4*2.54 = 10.16 cm
Volume = 3* 17.78 * 17.78 * 10.16
= 9635.59 in³
<u>Upper cylinder:</u>
diameter = 12 in
r = 12/2 = 6in
r = 6*2.54 = 15.24 cm
h = 12 in = 12*2.54 = 30.48 cm
Volume = 3 * 15.24 *15.24 * 30.48
= 21237.63 in³
Volume of the object = 9635.59 + 21237.63
= 30873 cm³
Answer:
The probability that the card will be a heart or a face card is P=0.4231.
Step-by-step explanation:
We have a standard deck of 52 cards.
In this deck, we have 13 cards that are a heart.
We also have a total of 12 face cards (4 per each suit). So there are 3 face cards that are also a heart.
To calculate the probability that a card be a heart or a face card, we sum the probability of a card being a heart and the probability of it being a face card, and substract the probability of being a heart AND a face card.
We can express that as: