Answer:
The difference in the lengths of the two alligators = 3
Step-by-step explanation:
First, let us make the lengths improper fractions, then we will find the difference from there.
Alligator 1:
Length = 
To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]
Alligator 2:
Length = 
Now Let us find the difference between the lengths:

Therefore the difference in the lengths of the two alligators = 3
<em>p</em> ² + 6 is even if <em>p</em> ² is even (the sum of two even numbers is even), and this happens only if <em>p</em> itself is even, i.e. if <em>p</em> = 2 since 2 is the only even prime.
All other primes <em>p</em> are odd, so <em>p</em> ² would be odd, and adding 6 would not change that (odd + even = odd).
4d=42-6
4d=36
d=36:4=9
.....................
Answer:
Yes, there is sufficient evidence to support the claim that the mean cost is $1.
Step-by-step explanation:
Data Given:
The population standard deviation
= $0.2
The sample mean cost
= $0.93
The sample size n = 12
From above we can use the Z-test for testing the mean from the above given data.
To check whether the mean cost of newspaper is $1.00
:
= $1
:
$1
The test statistics Z = 
Z = 
Z = -1.212
The P-value = 2P (Z< - 1.212)
= 2 × 0.1128
= 0.2256
Since the value of P is more than the significance level; do not reject the 
Conclusion: We therefore conclude that there is sufficient evidence to support the claim that the mean cost is $1.