Answer:
b) Chemistry
Step-by-step explanation:
To compare both scored we need to standardize the scores using the following equation:

Where x is the score, m is the mean and s is the standard deviation. So, 82 on chemistry is equivalent to:

Because the mean of the scores on the chemistry final exam is equal to 75 and the standard deviation is 15
At the same way, 80 on Calculus is equivalent to:

Because the mean of the scores on the calculus final exam is equal to 83 and the standard deviation is 13
Now, we can compare the values. So, taking into account that -0.2308 is lower than 0.4667, we can said that the student do better in Chemistry.
Answer:
64 cups of lemon juice
Explanation:
First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:
5 cups of lemonade→2 cups of lemon juice
16 cups of lemonade→x
x=(16*2)/5=6.4 cups of lemon juice
Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:
1 gallon of lemonade→6.4 cups of lemon juice
10 galons of lemonade→x
x=(10*6.4)/1=64 cups of lemon juice
According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.
Answer:
Step-by-step explanation:
<u>Given:</u>
- Initial profit = $37800
- Rate of appreciation = 2.3% per year
<u>The equation for this:</u>
<u>Find the value of P(8):</u>
Correct choice is B
Answer: √51
—————————
a^2 + b^2 = c^2
a^2 + 7^2 = 10^2
a^2 + 49 = 100
a^2 = 51
√(a^2) = √51
a = √51