Answer:
x = 21
Step-by-step explanation:
The sum the the interior angles of a triangle is 180°.
We know that the three angles of the triangle is 100°, x° - 4, and 3x°.
The sum of 100°, x° - 4, and 3x° must equal 180°. We can turn this into the equation:
100 + x - 4 + 3x = 180
(I got rid of the degree signs because they are not necessary when finding x.)
Now, to find the value of x, we would have to solve for x in the equation 100 + x - 4 + 3x = 180.
100 + x - 4 + 3x = 180
Subtract 100 from both sides to get rid of the 100 on the left side.
x - 4 + 3x = 180 - 100
Simplify.
x - 4 + 3x = 80
Add 4 from both sides to get rid of the -4 on the left side.
x + 3x = 80 + 4
Simplify and combine like terms.
4x = 84
Divide 4 from both sides to get rid of the coefficient of 4 on the left side.
x = 84/4
Simply.
x = 21
The value of x would be 21.
x = 21
I hope you find this helpful. :)
The only two numbers can be a factor of 5 in the ones place is 5 and 1
Answer:
1. Translation 3 units to the right;
2. Reflection across the x-axis;
3. Translation 4 units up.
Step-by-step explanation:
First, rewrite the function 
in following way:
Apply such transformations:
1. Translate the graph of the parent function 
3 units to the right to get the graph of the function 
2. Reflect the graph of the function 
across the x-axis to get the graph of the function 
3. Translate the graph of the function 
4 units up to get the graph of the function 
Answer:
Correct option:
"The distribution of the statistic in all possible samples of size <em>n</em> from a given population."
Step-by-step explanation:
The sampling distribution is a probability distribution of a sample statistic.
A sample statistic is a numerical value representing a characteristic of a sample. For example, the sample mean represents the mean value of the sample, the sample variance represent the variance of the sample. Both of these values are sample statistic.
A statistic is an unbiased estimator of the parameter value.
That is, the sample mean value can be used to estimate the value of population mean.
If various large samples are taken from a population and the sample statistic value is computed for each of these samples, then the probability distribution of theses sample statistic is known as the sampling distribution.
The mean of the sampling distribution is same as the population mean and the standard deviation of the sampling distribution is known as the standard error.
The correct option is:
"The distribution of the statistic in all possible samples of size <em>n</em> from a given population."
The answer is 8! 48 divided by 8 =6
