Answer: A) a² = b² - w² + 2wx
<u>Step-by-step explanation:</u>
b² - (w - x)² = a² - x²
b² - (w² - 2wx + x²) = a² - x²
b² - w² + 2wx - x² = a² - x²
b² - w² + 2wx = a²
Answer:
x>-9
Step-by-step explanation:p
1.) Subtract 1 from both sides
-2/3x+1<7
-1<-1
= -2/3x < 6
2.) Multiple the 3 (denominator) in order to get rid of the fraction
3(-2/3x) < (6)3
= -6/3x < 18 (simplify the 6/3 into 2)
= -2x < 18
3.) Divide by -2 (when you divide with a negative number, your sin is going to switch, meaning it will turn into a '>' sign)
-2x / -2 < 18/-2
= x > -9
*ALSO*
If you want to graph it on a number line, it would look something like the picture above. (the circle is open because it doesn't have the line underneath. You're symbol also indicates which way you shade!! < = left .....> = right.....think of them like arrows :) )
19. C
20. B
21. 200
22. im not sure if im right but i think p+6
23. C
24. Can't see
Rather than carrying out IBP several times, let's establish a more general result. Let

One round of IBP, setting


gives


This is called a power-reduction formula. We could try solving for
explicitly, but no need.
is small enough to just expand
as much as we need to.





Finally,

so we end up with


and the antiderivative is

Answer: 8359
Step-by-step explanation:
The formula for sample size needed for interval estimate of population proportion :-

Given : The significance level : 
Critical value : 
Previous estimate of proportion : 
Margin of error : 
Now, the required sample size will be :-

Hence, the required sample size = 8359