Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5
Answer:
2.06°
Step-by-step explanation:
The readings are normally distributed with mean 0° and standard deviation 1°. It means that the readings follows a standard normal distribution, so the reading that corresponds to the 98th percentile is equal to the z value that fulfill with:
P(Z<z)=0.98
Then, using the standard deviation table, we have that the z value is equal to 2.06. it means that the reading that separate the bottom 98% from the top 2% is equal to 2.06°
<span>10 + 69 - (-12) + 9 = 79 + 12 + 9 = 88 + 12 = 100</span>