What you do to solve this problem you put the faction side-by-side then see what number 16 and six could both go into just multiply 6 times 116 times one and keep on going down to you have the same answer doesn't answer you get is going to be a denominator and then after you get your denominator you do 5 times five and the number you get for you denominator
82% = 82/100
38/50 = 76/100
Average of 76 and 82 = 79
Getting a score of 38 out of 50 will hurt his grade, as it will bring the average down to 79%
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
Answer:
2/5
Step-by-step explanation:
Answer:
chance
Step-by-step explanation:
Each time you roll a die, you have a
chance of rolling a 3. It's even rarer to roll two 3s in a row, and to find a consecutive probability, we have to multiply the two probabilities. In this case, both probabilities are
.

Hope this helped!