In an average mass, each entry has equal weight. In a weighted average, we multiply each entry by a number representing its relative importance.
Assume that your class consists of 15 girls and 5 boys. Each girl has a mass of 54 kg, and each boy has a mass of 62 kg.
<em>Average mass</em> = (girl + boy)/2 = (54 kg + 62 kg)/2 = <em>58 kg</em>
<em>Weighted average (Method 1)
</em>
Use the <em>numbers of each</em> gender (15 girls + 5 boys)
,
Weighted average = (15×54 kg + 5×62 kg)/20 = (810 kg + 310 kg)/20
= 1120 kg/20 = <em>56 kg</em>.
If you put all the students on one giant balance, their total mass would be
1120 kg and the average mass of a student would be <em>56 kg.
</em>
<em>Weighted average (Method 2)
</em>
Use the <em>relative percentages</em> of each gender (75 % girls and 25 % boys).
Weighted average = 0.75×54 kg + 0.25×62 kg = 40.5 kg + 15.5 kg = <em>56 kg</em>
Each girl contributes 40.5 kg and each boy contributes 15.5 kg to the <em>weighted average</em> mass of a student.
Answer:
-43.3 °C
Explanation:
To find the temperature, you need to use the Ideal Gas Law equation. The equation looks like this:
PV = nRT
In this formula,
-----> P = pressure (atm)
-----> V = volume (L)
-----> n = moles
-----> R = Ideal Gas Law constant (0.08206 atm*L/mol*K)
-----> T = temperature (K)
By plugging the given values into the equation and simplifying, you can find the temperature. After you get a temperature, you need to convert it into Celsius.
P = 2.88 atm R = 0.08206 atm*L/mol*K
V = 3.76 L T = ? K
n = 0.574 moles
PV = nRT
(2.88 atm)(3.76 L) = (0.574 moles)(0.08206 atm*L/mol*K)T
10.8288 = (0.04710244)T
230. K = T
Kelvin - 273.15 = Celsius
230 K - 273.15 = -43.3 °C
<h3>
Answer:</h3>
156 calories
<h3>
Explanation:</h3>
- Carbohydrates, proteins and fats are food substances used by living organisms to generate energy required for the day to day activities.
- They supply energy which differs per gram for each food substance.
- That is;
1 g of carbohydrate = 4 calories
1 g of fat = 9 calories
1 g of protein = 4 calories
Therefore, whole milk serving containing 8.0 g of fat, 8.0 g of protein and 13 g of carbohydrates will contain the following number of calories;
8.0 g of fat = 8 g × 9 cal/g = 72 calories
8.0 g of protein = 8 g × 4 cal/g = 32 calories
13 g of carbohydrates = 13 g × 4 cal/g = 52 calories
Total amount of energy = 156 calories
Therefore, an 8 oz serving of whole milk contains 156 calories
I think the answer is water/ Liquid.
If it’s incorrect, I’m sorry
To me, I think the Earth was made around 6,000 years ago.
