Answer:
Step-by-step explanation:
Let X is the number of cards Kenny has
Let Y is the number of cards Lee has
1. Kenny had 5/7 more trading cards than lee, it means
X = Y + 5/7X (1)
2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:
X + 50%X = Y + 220 (2)
So, we solve the 2 equations to find out X and Y
<=> X =
and Y =
<=> X ≈181 and Y ≈ 52
The volumes will be the same, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.
Answer:
When sampling from a population, the sample mean will: be closer to the population mean as the sample size increases.
Step-by-step explanation:
The sample mean is not always equal to the population mean but if we increase the number of samples then the mean of the sample would become more and more closer to the population mean.
Usually the population size is very huge that is why we select a random sample from the population, care must be taken to ensure randomized sampling otherwise results would not be accurate. After that we have to make sure that the number of samples are enough for the given population size. The number of samples depends upon the shape of the population. If the population is normal than according to central limit theorem, a less number of samples would be enough to ensure normal distribution of sampling mean, otherwise a greater sample size will be required.
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to

where
B is the area of the base
H is the height of the pyramid
we have


substitute and solve for B



step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to

we have


substitute

therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct