<h2>
Answer with explanation:</h2>
Let 
be the population mean.
For the given claim , we have
Null hypothesis : 
Alternative hypothesis : 
Since alternative hypothesis is two-tailed , so the test is a two-tailed test.
Given : Sample size : n=220 ;
Sample mean: 
;
Standard deviation: 
Test statistic for population mean:
By using the standard normal distribution table of z , we have
P-value ( two tailed test ) : 
Since , the P-value is greater than the significance level of 
, it means we do not have sufficient evidence to reject the null hypothesis.
From your previous questions, you know
(3<em>w</em> + <em>w</em>⁴)' = 3 + 4<em>w</em>³
(2<em>w</em>² + 1)' = 4<em>w</em>
So by the quotient rule,
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3<em>w</em> + <em>w</em>⁴)' - (3<em>w</em> + <em>w</em>⁴)•(2<em>w</em>² + 1)' ] / (2<em>w</em>² + 1)²
That is, the quotient rule gives
<em>R'(w)</em> = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²
I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3 + 4<em>w</em>³) - (3<em>w</em> + <em>w</em>⁴)•(4<em>w</em>) ] / (2<em>w</em>² + 1)²
Answer:
271
Step-by-step explanation:
Add 138 and 133 then you get 271 at the end
Answer:
11.4 is the value of x
Step-by-step explanation:
c^2=a^2+b^2
