Whatever you do to one side, you have to do to the other.
Try to get all the x values and regular values together.
To do that, just subtract both sides by 6x to cancel it out on one side and subtract it from the other side:
6x-6x+32=-2x-6x
=
32=-8x
now divide both sides by -8 to get the x by itself
32/-8=-8/-8x
= 32/-8=x
-4=x
so your answer is: x= -4
Answer:
Inferential statistics.
Step-by-step explanation:
We have been given a statement. We are asked to determine whether the given statement describes a descriptive or inferential statistic.
Statement: A survey of 3459 people revealed that 52% work a full-time job; therefore it can be assumed that 52% of the U.S. population works a full-time job.
We know that descriptive statistics represents the description about population using the data through numerical calculations, graphs or tables. While inferential statistics makes predictions about a population based on a sample of data taken from the population.
Since our statement gives the prediction about people, who work full-time in U.S. based on a survey of 3459 U.S. citizens, therefore, the given statement is inferential statistic.
X's cancel 5y = 20 y= 4 X=0
Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and 
is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and 
by 1.8331, we get that the 90% confidence interval for the mean speed is:
≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277
Answer:
Step-by-step explanation:
Using I = PRT/100
where P = The principal amount invested = $5500
R = Rate of Interest =5%
T = Time (in years)
I = Interest = $7,739.05 - $5500 = $2239.05
Substituting the above values in the formula
I = PRT/100 becomes
2239.05 = 7,739.05 * 5 * t / 100 -------- Multiply 100 to both sides
2239.05 * 100 = 100 * 7739.05 * 5 * t / 100
223905 = 7739.05 * 5 * t
223905 = 38695.25t
Divide both sides by 38695.25t
223905/38695.25 = t
5.786369 = t
T = 5.79 (approximated)
