Answer:
Each ticket costs $13.75.
Step-by-step explanation:
$123.75 for 9 tickets

Each ticket costs $13.75.
Hope this helped!! :)
Answer:
50%
Step-by-step explanation:
68-95-99.7 rule
68% of all values lie within the 1 standard deviation from mean 
95% of all values lie within the 1 standard deviation from mean 
99.7% of all values lie within the 1 standard deviation from mean 
The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

68% of all values lie within the 1 standard deviation from mean
=
= 
95% of all values lie within the 2 standard deviation from mean
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= 
99.7% of all values lie within the 3 standard deviation from mean
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= 
Refer the attached figure
P(43<x<55)=2.5%+13.5%+34%=50%
Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%
In this diagram we see that 80 and 3x+4y are both vertical angles and vertical angles are congruent or always equal so we can set those two equations equal to each other then we can see that a line splits two angles making them supplementary (they equal 180 degrees) So we can have another equation, the two equations are:
3x+4y=80 and 3x+4y+7x-8y=180 (add like terms to simplify and get 10x-4y=180
Then use elimination to get rid of the y variables
10x-4y=180 (plus)
+3x+4y=80 (the negative 4 and positive 4 cancels each other out so you are left with:)
13x=160 (divide by x)
x=12.30769 which can be rounded to x=12.31
Then we have to plug in x into the first equation:
3(12.31) + 4y = 80
36.93 + 4y = 80 (subtract 36.93 from 80)
4y = 43.07 (divide)
y=10.7675 or rounded to 10.77
so x=12.31 and y=10.77
Answer:
360 miles
Step-by-step explanation:
When the second car catches up with the first car they will have travelled the same distance which we call x miles.
Speed = distance / time
For first car 60 = x / t where t = time taken
giving x = 60t
for second car 90 = x / (t - 2)
giving x = 90t - 180
So equating these 2 equations
60t = 90t - 180
30t = 180
t = 6 hours
So x the distance = 60t = 360 miles answer