Answer:
-11
Step-by-step explanation:
(9+8-6)(4-5)
(17-6)(-1)
(11)(-1)
-11
Hello there! How are you today?
4x + 5 -2 = 3x + 7x - 15
First, we need to get the variable (x) on one side. To do that, we must simplify the right side of the equation, and then decide what to do from there, so let's proceed to do so.
3x + 7x = 10x
4x + 5 - 2= 10x - 15
Now we have x simplified on both sides of the equation. However, we need x to be on one side of the equation in order to solve for it.
Subtract 4x from both sides.
4x - 4x = 0
10x - 4x = 6x
We are now left with:
6x - 15 = 5 - 2
Simplify the right side of the equation.
5 - 2 = 3
6x - 15 = 3
Now we need to isolate x. To isolate x, we need to add 15 to both sides, as x is being subtracted by 15, and adding 15 will cancel it out.
-15 + 15 = 0
3 + 15 = 18
We now are left with:
6x = 18
Now we only have one step left, and that is to solve for x. Since x is being multiplied by 6, we need to perform the opposite order of operations to cancel it out. To do that, we must divide both sides by 6 to solve for x.
6x = 18
Divide both sides by 6.
6x / 6 = x
18 / 6 = 3
We are now left with the solution:
x = 3
I hope this helps!
Answer:
1) Increase the sample size
2) Decrease the confidence level
Step-by-step explanation:
The 95% confidence interval built for a sample size of 1100 adult Americans on how much they worked in previous week is:
42.7 to 44.5
We have to provide 2 recommendations on how to decrease the margin of Error. Margin of error is calculated as:
Here,
is the critical z-value which depends on the confidence level. Higher the confidence level, higher will be the value of critical z and vice versa.
is the population standard deviation, which will be a constant term and n is the sample size. Since n is in the denominator, increasing the value of n will decrease the value of Margin of Error.
Therefore, the 2 recommendations to decrease the Margin of error for the given case are:
- Increase the sample size and make it more than 1100
- Decrease the confidence level and make it lesser than 95%.
I'm assuming you don't still need these? Sorry I didn't see this in time
