Exponentiate the log or In because Exponentials are inverses of Logs and lns.
Log N^3 = 3 log N
using the theorem log a^2 = 2 log a
Answer: a) z=1.43
b) 0.1528
Step-by-step explanation:
The given set of hypothesis :


Since the alternative hypothesis
is two-tailed , so we perform two-tailed test.
Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.
Sample proportion: 
a) The z-statistic would be :-


b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)
=2P(z>1.43)
=2(1-P(z≤1.43)
=2-2P(z≤1.43)
= 2-2(0.9236)[Using standard z-table]
= 2-1.8472=0.1528
Hence, the P-value of the test= 0.1528
Hey There!
Remember, first find the gcf of 4,3 in this problem it is 12.
Steps to solve
1.6

- 3

2.6

- 3

= 2

So, The answer is <span>2

</span>
Hope This Helps :)
Your answer would be the last option, (6x² - 5)(x² + 2).
This is because when you expand it, you get:
6x² × x² = 6x⁴
6x² × 2 = 12x²
-5 × x² = -5x²
-5 × 2 = -10
Which are all the correct terms.
I hope this helps!