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Korolek [52]
3 years ago
14

An experiment consists of tossing a coin and drawing a card, with the card-drawing stage dependent on the result of the coin tos

s. If heads occurs, then a card is selected at random from the clubs and spades suits. If tails occurs, then a card is selected at random from the hearts and diamonds suits. What is the size of the sample space of this two-stage experiment?
A. 26
B. 52
C. 104
D. 208
Mathematics
2 answers:
givi [52]3 years ago
7 0

B). Is the awnser 52

Delicious77 [7]3 years ago
3 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

There is a coin and a deck of cards.

If there is a head, card is selected from the clubs and spades.

Number of clubs = 13

Number of spades = 13

If there is a tail, card is selected from the hearts and diamonds.

Number of hearts = 13

Number of diamonds = 13

Total size of the sample of this two stage experiment would be

13+13+13+13 = 52

Hence, Option 'B' is correct.

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See the picture below
mart [117]

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b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

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radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

Now, Volume of Cone = \frac{1}{3}\pi r^2 h

Where radius is 4 and height is 10, so,

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Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0
3 years ago
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