Answer:
54/249 or
0.2168674
Step-by-step explanation:
Expressions can be represented as logarithms and exponents
Rogelio argument is correct
<h3>How to determine if Rogelio's claim is true</h3>
The logarithmic equation is given as:

Apply logarithm rule, to rewrite the logarithmic equation

Evaluate the individual logarithmic expressions

Evaluate the quotient (i.e. divide the expression)

The above equation shows that
is between 6 and 7
Hence, Rogelio argument is correct
Read more about equivalent expressions at:
brainly.com/question/2972832
Answer:
0.29125 or 29.125%
Step-by-step explanation:
For the five fair coins, the probability of coming up head when flipped is 0.5, so for two flips: 0.5*0.5 = 0.25, for each of these coins. So, the probability to take on of them is 5/8, and the probability of coming up with head: (5/8)*0.25 = 0.15625.
For the unfair coins, the probability of coming up with heads is 0.6, so for two flips: 0.6*0.6 = 0.36 for each unfair coins. The probability to chose one of them is 3/8, and the probability of coming up with head: (3/8)*0.36 = 0.135.
These probabilities are dependent, so to have the total probability we must sum them:
P = 0.15625 + 0.135
P = 0.29125 or
P = 0.29125 x 100% = 29.125%
x > -1
-2x+5 < 7
-2x<2
Now since you divide by (-1) to get positive 2,you need to flip the sign
(-2)/(-1)= 2 2/(-1)=-2
SO
2x>-2
x > -1
To check the solution do not replace the x by -1 because it shouls be more than -1 (You can choose 0,1,2,3....)
Example choose x=3
-2x3+5<7
-6+5<7
-1<7
Answer:
the answer is approximately normal
Step-by-step explanation: