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
<h3>
Answer: 21x+14 (choice A)</h3>
Explanation:
Use the distribution rule to multiply the outer 7 by each term inside
- 7 times 3x = 21x
- 7 times 2 = 14
We go from 7(3x+2) to 21x+14
-86 = -6(-3p - 3) - 5p
Distribute the -6 into the parentheses:
-86 = (-6 * -3p) + (-6 * -3) - 5p
-86 = 18p + 18 - 5p
Simplify:
-86 = 13p + 18
Subtract both sides by 18:
-86 - 18 = 13p + 18 - 18
-104 = 13p
Divide both sides by 13:
= 
= 
<u>p = -8</u>
<u></u>
Good luck! If you have any questions, don't be afraid to ask :))
-T.B.
12 31/100 is the mixed fraction because in a decimal all the numbers to the left are whole numbers and all the numbers to the right are numbers that are part of a whole. Just like in a mixed fraction there is a whole number and a fraction in a mixed number. Since 12 is in the left it is the whole number and since 31 is to the right and in the place value 31 is ending in the hundredths place so that's why the fraction is, 31/100. That's how you came to know that 12 31/100 is the fraction for 12.31.
