Answer:
The probability that the sample proportion will be greater than 13% is 0.99693.
Step-by-step explanation:
We are given that a large shipment of laser printers contained 18% defectives. A sample of size 340 is selected.
Let 
= <u><em>the sample proportion of defectives</em></u>.
The z-score probability distribution for the sample proportion is given by;
Z = 
~ N(0,1)
where, p = population proportion of defective laser printers = 18%
n = sample size = 340
Now, the probability that the sample proportion will be greater than 13% is given by = P( > 0.13)
P( > 0.13) = P( > 
) = P(Z > -2.74) = P(Z < 2.74)
= <u>0.99693</u>
The above probability is calculated by looking at the value of x = 2.74 in the table which has an area of 0.99693.
OK. Then let's solve for ' r '. That means you have to come up with an equation that says r = everything else.
Step #1:
Write the equation you're given: <span>S = L (1 - r)
Let's divide each side by ' L ': S/L = 1 - r
Subtract 1 from each side : S/L - 1 = -r
Multiply each side by -1 : <em> 1 - S/L = r</em>
and there you have it.
</span>
You will need to use product rule.
The product rule is:
![\frac{d}{dx}[f(x)g(x)] = f'(x)g(x)+f(x)g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29g%28x%29%5D%20%3D%20f%27%28x%29g%28x%29%2Bf%28x%29g%27%28x%29)
This can also be written as (using the log rules):
Solve equation [1] for the variable u
[1] u = v
// Plug this in for variable u in equation [2]
[2] 8•(v ) - 4v = -32
[2] 4v = -32
// Solve equation [2] for the variable v
[2] 4v = - 32
[2] v = - 8
// By now we know this much :
u = v
v = -8
// Use the v value to solve for u
u = (-8) = -8
Solution : {u , v } = { -8,-8}
Answer:
See the "step by step explanation" for better understanding.
Step-by-step explanation:
Let's solve for x.
2x2+y2=18
Step 1: Add -y^2 to both sides.
2x2+y2+−y2=18+−y2
2x2=−y2+18
Step 2: Divide both sides by 2.
2x22=−y2+182
x2=−12y2+9
Step 3: Take square root.
x=√−12y2+9 or x=−√−12y2+9
Answer:
x=√−12y2+9 or x=−√−12y2+9
