Given that mean=56.1 and standard deviation=8.2, P(x>67.5) will be found as follows:
The z-score is given by:
z=(x-μ)/σ
thus the z-score will be given by:
z=(67.5-56.1)/8.2
z=11.4/8.2
z=1.39
thus
P(z=1.39)=0.9177
thus:
P(x>67.5)=1-P(z>0.9177)
=1-0.9177
=0.0823
Answer: A. 0.0823
First, let's identify the like terms.
2 and 17
2n and 3n
Next, you would need to combine them. Ex: Add 2n to both sides, and subtract 17 from both sides.
2 - 2n = 3n + 17
2 = 5n + 17
-15 = 5n
Now, all you would need to do is isolate the n. To do this, you would divide both sides by 5.
-15 = 5n
-3 = n
n = -3
The solution would be -3.
I hope this helps!
We can solve this by using systems of equations.
Let's find our first formula, how much money was made using the tickets.
Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!
since we sold 156 tickets that could be any combination of child and adult tickets.
Let's solve this system. I'm going to use <em>substitution</em> so I'm going to take our second formula and subtract both sides by x to get 
.
Now I will plug this in the first equation for y to get You plug it in for y to get 
From this you can solve for x to get 
.
Since 
There were 99 child tickets and 57 adult tickets.
The second one from the top shows a dilatation.
Hi There!
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Slope Intercept Form: y = mx + b
Where: m = slope and b = y-intercept
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Question 11: The slope being 0.5 is the pay for the amount of miles he pays daily.
Question 12: y = 2x + 20
Question 13: y = 25x + 50
Question 14: y = 1/2x + 6
Question 15: y = 2x + 15
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Hope This Helps :)
