Answer:
x = 12
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side
14x + 12 = 180 ( subtract 12 from both sides )
14x = 168 ( divide both sides by 14 )
x = 12
Answer: There is 48.14% of dogs are male .
Step-by-step explanation:
since we have given that
Total number of dogs = 37
Number of dogs that are female = 24
Number of dogs that are male is given by

We need to find the percentage of dogs are male:
So, Percentage of the dogs are male is given by

Hence, there is 48.14% of dogs are male .
27
18
----
45
GCF of 45 = 15
Here is a word document on Greatest Common Factors and how to solve it.
Answer:
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Step-by-step explanation:
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Answer:
The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).
Step-by-step explanation:
We have to calculate a 96% confidence interval for the proportion.
We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.
The sample proportion is p=0.8.

The standard error of the proportion is:

The critical z-value for a 96% confidence interval is z=2.054.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 96% confidence interval for the population proportion is (0.77, 0.83).