Answer:
x = 7
Step-by-step explanation:
-3 (x - 1) + 8 (x - 3) = 6x + 7 - 5x
-3 (x - 1) + 8 (x - 3) = 6x - 5x + 7
-3 (x - 1) + 8 (x - 3) = x + 7
-3x + 3 + 8x - 24 = x + 7
-3x + 8x + 3 - 24 = x + 7
5x - 21 = x + 7
+21 +21
--------------------------------------------------
5x = x + 28
-x -x
---------------------------------------------------
4x = 28
/2 /2
----------------------------------------------------
x = 7
Answer:

And for this case the margin of error would be:

If the level of confidence increase we can conclude that the value of
would increase and the the confidence interval would be wider, since the margin of error increase.
c. Increase; wider
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
Let's assume that we have a parameter of interest
and we want to estimate the value of p with
and in general the confidence interval if the distribution of p is normal is given by:

And for this case the margin of error would be:

If the level of confidence increase we can conclude that the value of
would increase and the the confidence interval would be wider, since the margin of error increase.
c. Increase; wider
Answer:
The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Standard deviation is 9.5 for a population.
This means that 
Sample of 60:
This means that 
What is the standard deviation of the distribution of sample means for samples of size 60?

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.
Answer:
thank you i need that
Step-by-step explanation:
The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is 520[cos(18) + isin(18)]
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Complex number is in the form z = a + bi, where a and b are real numbers.
The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is:
z = 65 * 8 [cos(14 + 4) + isin(14 + 4)] = 520[cos(18) + isin(18)]
Find out more on equation at: brainly.com/question/2972832
#SPJ1