Answer:
the man
Step-by-step explanation:
The wording "relatively taller" in this context is presumed to be a reference to the corresponding percentile or z-score. By hand, the z-score is easier to calculate.
z = (x - μ)/σ
For the man,
... z = (75 -69.8)/3.2 = 1.625
For the woman,
... z = (70 -64.3)/3.9 ≈ 1.462
The man's z-score is higher, so he is taller than a larger percentage of the male population than the woman is of the female population.
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If you're doing this by calculator, you can let it show you the percentile rank of each height. The man is in the 95th percentile; the woman the 93rd percentile. So, the man is relatively taller.
Answer: See explanation
Step-by-step explanation:
6 sacks of potatoes weigh 122.4 kg
1 sack would weigh 122.4 kg ÷ 6
122.4 ÷ 6 = 20.4
1 sack of potatoes weighs 20.4 kg
4 sacks of onions weigh 50 kg
1 sack would weigh 50 kg ÷ 4
50 ÷ 4 = 12.5
1 sack of onions weighs 12.5 kg
Answer:
The number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.
Step-by-step explanation:
We are given that Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet.
Let the number of ducks Old Mc Donald raises be 'x' and the number of cows Old Mc Donald raises be 'y'.
So, according to the question;
- The first condition states that the animals have a total of 100 heads, that means;
-------------------- [equation 1]
{because one head of a duck and one head of cow}
- The second condition states that the animals have a total of 354 feet, that means;
--------------- [equation 2]
{because there are two feet of a duck and four feet of cow}
Now, putting the value of x in equation 2 we get;
y = 77 cows
Putting this value of y in equation 1 we get;
x = 100 - y
x = 100 - 77 = 23 ducks
Hence, the number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.
Answer: approximately 12.17 units
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Work Shown:
We'll use the tangent ratio to find r
tan(angle) = opposite/adjacent
tan(49) = 14/r
r*tan(49) = 14
r = 14/tan(49)
r = 12.1700143294271
r = 12.17
The radius is approximately 12.17 units long.
