I believe it’s 2% if it’s wrong sorry
Answer:
See explanation below
<u>Step-by-step explanation:</u>
range = 2200 - 300 = 1900
To find standard deviation, we have:
standard deviation = range/4 = 
= 475
The range rule of thumb estimate for the standard deviation is 475
Given:
Standard deviation,
= 475
Margin of Error, ME = 100
= 1 - 0.90 = 0.10
Za/2 = Z0.05 = 1.64
Find sample size, n:
n ≥ ![[Z_\alpha_/_2 * (\frac{\sigma}{ME})]^2](https://tex.z-dn.net/?f=%20%5BZ_%5Calpha_%2F_2%20%2A%20%28%5Cfrac%7B%5Csigma%7D%7BME%7D%29%5D%5E2%20)
n ≥ ![[1.64 * (\frac{475}{100})]^2](https://tex.z-dn.net/?f=%5B1.64%20%2A%20%28%5Cfrac%7B475%7D%7B100%7D%29%5D%5E2)
n ≥ 60.68
≈ 61
Minimun sample size,n = 61
Answer:
hey, there!
Step-by-step explanation:
The given is a point (-6,8) through which a line passes. And is perpendicular to the line y = 2x-4
The equation for point (-6,8) is,
(y-8)= m1(x+6)...........(i)
and given equation is y = 2x-4............(ii)
Now, from equation (ii).
slope (m2)= 2 { as equation (ii) is in the form of y= mx+c where m is a slope}.
Now, For perpendicular,
m1×m2= -1
m1×2= -1
Therefore, m1 = -1/2.
Putting, the value of m1 in equation (i).
(y-8) = -1/2×(x+6)
2(y-8)= -1(x+6)
2y - 16 = -x -6
x+2y-10 = 0......... is the required equation.
Hope it helps...
to convert a fraction to a decimal, like say a/b is really simply the quotient of a ÷ b.
now, let's first convert the mixed fraction to improper, and then do the division.
![\bf \stackrel{mixed}{5\frac{5}{16}}\implies \cfrac{5\cdot 16+5}{16}\implies \stackrel{improper}{\cfrac{85}{16}}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ \cfrac{85}{16}\implies 85\div 16\implies 5.3125](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cstackrel%7Bmixed%7D%7B5%5Cfrac%7B5%7D%7B16%7D%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%2016%2B5%7D%7B16%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B85%7D%7B16%7D%7D%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B31em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ccfrac%7B85%7D%7B16%7D%5Cimplies%2085%5Cdiv%2016%5Cimplies%205.3125%20)
Let x = number of cups of ingredient B if 2 cups of ingredient A are used. Set up a proportion: (1/2)/(1 2/5) = (2)/x. Cross multiplying we get (1/2)x = (1 2/5)(2)
(1/2)x = 14/5, so x = 28/5 = 5 3/5 cups.
