Answer:
Yes, the constant of proportionality is 1.5
Step-by-step explanation:
Answer: 22) A
<u>Step-by-step explanation:</u>
First, order doesn't matter so it is a Combination.
<em>In other words, it doesn't matter which person was chosen 1st, 2nd, 3rd, or 4th to bring food because they are all bringing "food".</em>
Next, If you are going to choose person to 4 people to bring food out of a total of 4 + 3 + 1 = 8 people, you get → ₈C₄
And you are going to choose 3 people to bring decorations out the remaining 8 - 4 = 4 people, you get → ₄C₃
And you are going to choose 1 person to be the host out of the remaining 4 - 3 = 1 person, you get → ₁C₁
"And" means multiplication so altogether you get ⇒ ₈C₄ × ₄C₃ × ₁C₁
Answer:
x = 15.65 and y = 5√2
Step-by-step explanation:
To get x and y we will use the Pythagoras theorem as shown
hyp^2 = adj^2 + opp^2
x^2 = 14^2+7^2
x^2 = 196 + 49
x^2 = 245
x = √245
x = 15.65
Similarly for y;
y2 = 5^2 + 5^2
y^2 = 25 + 25
y^2 = 50
y = √2*25
y = 5√2
Hence x = 15.65 and y = 5√2
Answer:
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
Step-by-step explanation:
A. The formula for the volume of a hemisphere is ...
V = (2/3)πr³
For a radius of 5 m, the volume is ...
V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³
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B. The formula for the volume of a cylinder is ...
V = πr²h
For a radius of 5 m and a height of 12 m, the volume is ...
V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³
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C. Then the total volume is ...
V = hemisphere volume + cylinder volume
V = 261.799 m³ +942.478 m³ = 1204.277 m³
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Rounded to the nearest integer, the volumes are ...
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
_____
As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.
B is correct the devotion is only 2 compared to 4.
A is wrong because variate A has higher trees then variate B
C is wrong because deviation for A is 4 compared to 2 ( opposite of B)
D is wrong because 4th one is 10 for A and 13 for B. 10 is not greater than 13
