Since we are dealing with volume, when one object is 4 times bigger than another, the difference in volume is 4^3 = 64.
6 cm sphere = 4/3 *PI * 6^3
6 cm sphere = 4/3 *PI * 216
6 cm sphere =
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904.78 cc
24 cm sphere = </span></span></span>4/3 *PI * 24^3
24 cm sphere = 4/3 *PI * 13,824
24 cm sphere =
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57,905.84
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cc
Comparing the volumes: <span>57,905.84 / 904.78 = </span><span><span><span>64
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Answer:
The chance that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses is P=0.0488.
Step-by-step explanation:
To solve this problem we divide the tossing in two: the first 5 tosses and the last 5 tosses.
Both heads and tails have an individual probability p=0.5.
Then, both group of five tosses have the same binomial distribution: n=5, p=0.5.
The probability that k heads are in the sample is:
Then, the probability that exactly 2 heads are among the first five tosses can be calculated as:
For the last five tosses, the probability that are exactly 4 heads is:
Then, the probability that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses can be calculated multypling the probabilities of these two independent events:
Answer:
x=18
Step-by-step explanation:
7x-1=125
<u> +1 +1</u>
<u>7x</u>=<u>126</u>
7 7
X=18
9514 1404 393
Answer:
5. x = 160; y = 20
6. h = 125°; g = i = 55°
Step-by-step explanation:
Vertical angles are found on opposite sides of a point where lines cross. Each angle is formed from rays opposite those of the other angle. Vertical angles are congruent.
5. x° and 160° are vertical angles: x° = 160°
y° and 20° are vertical angles: y° = 20°
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6. h° and 125° are vertical angles: h° = 125°
The angles g° and 125° form a "linear pair" so total 180°.
g° = 180° -125° = 55°
g° and i° are vertical angles: g° = i° = 55°
