a pet survey found that the ratio of dogs to cats is 2.5.which proportion shows the number of dogs if the number of cats is 140?
2 answers:
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Answer:
The number of heads observed is 121.14 heads
Step-by-step explanation:
The formula for the z-score of a proportion is given as follows;
Where:
= Sample proportion
p = Population success proportion = 0.5
q = 1 - p = 1 - 0.5 = 0.5
n = Number in of observation = 200
z = 2.99
Hence, we have;
Therefore;
= 0.6057
∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:
Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:
We know the volume and the radius of the conical container, then we can find "h":
The diameter and height doubled are:
Now the radius is:
And the container capacity is
Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.