Answer:
Step-by-step explanation:
To solve this problem, first you have to isolate it on one side of the equation. To solve this problem, division property of equality is divide both sides of an equation by the same number doesn't change the equation.
First, divide by 6 from both sides.
6(n-6)/6<-108/6
Solve.
-108/6=-18
6n-6<-18
Next, add 6 from both sides.
6n-6+6<-18+6
Solve.
-18+6=-12
6n<-12
Then, divide by 6 from both sides.
6n/6<-12/6
Solve.
-12/6=-2
As a result, the correct answer is n<-2.
<h2>Hope this helps!</h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>
Answer:
So we can find this probability:
And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:
Step-by-step explanation:
Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info
Where and
We can begin finding this probability this probability
For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
And we can find the z scores for each limit and we got:
So we can find this probability:
And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:
0.75 liters, because when you convert it is 750 milliliters
and vise versa when you convert 500 milliliters it is 0.5 liters<span />
Answer:
30°
Step-by-step explanation:
you can see it's about half of 60° also if you search up 30° it looks like that
Simplifying
a + 4b = 5b + -3a
Reorder the terms:
a + 4b = -3a + 5b
Solving
a + 4b = -3a + 5b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b
Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b
Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b
Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b
Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b
Combine like terms: 5b + -4b = 1b
4a = 1b
Divide each side by '4'.
a = 0.25b
Simplifying
a = 0.25b