Answer:
Step-by-step explanation:
We have been given that there are six nickels and seven dimes in your pocket. We are asked to find the probability of getting a nickel coin both times with replacement.
Let us find probability of getting a nickel in one pick.
There are 6 nickels and total coins are 6 nickels plus 7 dimes that 13 coins.
Since the coin is returned back in the pocket, so probability of choosing 2nd nickel will be 
.
Since both terms are independent, therefore, probability the required probability will be product of and .
Therefore, our required probability would be .
Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = 
= 
= 
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
The answer would be 175 feet tall
Given the coordinates of the three vertices of a triangle ABC,
the centroid coordinates are (x1+x2+x3)/3, (y1+y2+y3)/3
<span>so (-4+2+0)/3=-2/3, ]2+4+(-2)]/3=4/3
so the coordinates are (-2/3, 4/3)</span>
