Hi there! I can help you with this! First, let's combine like terms and do everything for the right side of the problem. When you do the distributive property, you get 32x - 40. Combine like terms and you'll get 32x - 60. Now, the inequality is 20x = 32x - 60. First, let's subtract 32x from both sides to get the integer by itself. When you do that, you get -12x = -60. Now, divide each side by -12 to isolate the "x". -60/-12 is 5. Let's plug it in. 20 * 5 is 100. 32 * 5 is 160. 160 - 60 is 100. 100 = 100. There. x = 5.
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Answer:
a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,580, respectively.
b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,117, respectively.
Step-by-step explanation:
In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:
For n=25 we have:
The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.
This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.
If n=50, we have:
Answer:
It is necessary four parameters.
Step-by-step explanation:
Since the augmented matrix of the consistent system has rank equal to three then the number of free variables is (number of unknows)-rank then there are 7-3=4 free variables. This means that are necessary four parameter to specify all solutions.
Answer:
-3/2 (x - 6)
Step-by-step explanation:
