Answer:
One variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.
Step-by-step explanation:
lets assume the variable for total daily allowance
lets say total daily allowance of fat = x grams
Fat consumed at dinner = 48 grams
Fat consumed at dinner in percentage = (Fat consumed at dinner/total daily allowance of fat) × 100
= (48 grams/x grams)×100=(4800/x)%
so (4800/x)%
So one variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.
lets take one example
lets says total daily allowance of fat for Emily = 100gm
so from derived equation that is 4800/x , we can get required percentage by putting x = total daily allowance of fat = 100gm
=4800/100 = 48%.
you can change value of variable x according to total daily allowance and get the required dinner intake percentage by equation 4800/x.
Answer:
(29.14 ; 30.06)
Step-by-step explanation:
Given that'
Sample size (n) = 57
Mean (m) = 29.6
Population standard deviation (σ) = 2.7
Confidence interval = 80%
= (1 - 0.8) / 2 = 0.1
Mean ± z * σ/√n
Using the Z probability calculator : Z0. 1 = 1.28
Hence,
29.6 ± 1.28 * (2.7 / √57)
29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)
29.142241664 ; 30.057758336
(29.14 ; 30.06)
first off, let's notice the parabola is a vertical one, therefore the squared variable is the x, and the parabola is opening upwards, meaning the coefficient of x² is positive.
let's notice the vertex, or U-turn, is at (-2, 2)
![\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \boxed{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{-2}{ h},\stackrel{2}{ k}) \\\\\\ y=+1[x-(-2)]^2+2\implies y=(x+2)^2+2](https://tex.z-dn.net/?f=%20%5Cbf%20~~~~~~%5Ctextit%7Bparabola%20vertex%20form%7D%20%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllll%7D%20%5Cboxed%7By%3Da%28x-%20h%29%5E2%2B%20k%7D%5C%5C%5C%5C%20x%3Da%28y-%20k%29%5E2%2B%20h%20%5Cend%7Barray%7D%20%5Cqquad%5Cqquad%20vertex~~%28%5Cstackrel%7B-2%7D%7B%20h%7D%2C%5Cstackrel%7B2%7D%7B%20k%7D%29%20%5C%5C%5C%5C%5C%5C%20y%3D%2B1%5Bx-%28-2%29%5D%5E2%2B2%5Cimplies%20y%3D%28x%2B2%29%5E2%2B2%20)
Answer:
42.21 ft^2
Step-by-step explanation:
The formula: A=1
/2b √ c2﹣b2
c=hypotenuse
b=base
Area of the cross section (Trapezium) :
1/2 (6 + 11) x 3 = 25.5 cm²
Volume = area x height = 25.5 x 3 = 76.5 cm³
