Answer: 
Step-by-step explanation:
Given logarithm expression

We need to write it as a single logarithm expression.
First we need to apply exponent rule of logs to remove 7 and 6 in front of logs.

.
Now, we need to apply product rule of logs
.

Therefore, final answer is 
Answer:
The margin of error for the 90% confidence interval is of 0.038.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is of:

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that 
90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Margin of error:



The margin of error for the 90% confidence interval is of 0.038.
Answer:
I think it is c
Step-by-step explanation:
As razões que se aplicam são as seguintes:
“São 4 hambúrgueres
vendidos para cada 3 cheeseburgers vendidos na cafeteria." A proporção de
hambúrgueres vendidos para cheeseburgers vendidos é de 4:3.
"Há 20 notas de aprovação para cada 25 testes de matemática classificados.
A proporção de escores de aprovação para testes classificados é de 4:5."
Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.