Answer:
total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Step-by-step explanation:
The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.
volume of cylinder: (pi)(r^2)h
volume of sphere: (4/3)(pi)r^3
total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3
We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.
total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3
total volume = 300pi cm^3 + (250/3)pi cm^3
exact total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Step-by-step explanation:
hope it helps............
Answer:
About 7,500 registered voters are expected to vote for the new dog park.
Step-by-step explanation:
- A town has 15,000 registered voters.
- A random sample of 200 voters shows that 100 voters are in favour of a new dog park.
How many registered voters are likely to vote for the dog park?
The laws of probability allows us to extrapolate and use the proportion of randomly sampled registered voters that vote for a new dog park to calculate the actual number of registered voters that will vote for a new dog park.
Proportion of randomly sampled registered voters that voted for a new dog park
= (100/200) = 0.50
Proportion of overall registered voters that will vote for a new dog park will also be 0.50.
Number of likely registers voters that'll vote for a new dog park = 0.50 × 15,000 = 7,500
Hope this Helps!!!
Answer:
a straight line with slope 3 and y-intercept (0,c) For instance y = 2x - 3 is a straight line with slope 2 and y-intercept (0,-3), and has this graph: For instance y = -4x + 1 is a straight line with slope -4 and y-intercept (0,1)
Step-by-step explanation:
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