You should leave $10.52 for waiter.
The total bill will be $67.33 including tax and tip.
Step-by-step explanation:
Given,
Bill before tax and tip = $52.60
Tip = 20% of pre tax amount
Amount of tip = 
Amount of tip = 
Amount of tip = $10.52
Sales tax = 8%
Amount of sales tax = 
Amount of sales tax = 0.08*52.60
Amount of sales tax = $4.208
Final bill = Bill + Tip + Sales tax
Final bill = 52.60 + 10.52 + 4.208 = $67.33
You should leave $10.52 for waiter.
The total bill will be $67.33 including tax and tip.
Keywords: percentage, addition
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<h3>
Answer: Choice B</h3>
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Explanation:
The requirements for a probability distribution are this
- The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say
where p is an individual probability. - The probabilities must sum to 1.
Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.
We can also rule out choice D since the probabilities sum to this
0.20+0.15+0.20+0.20+0.20+0.20 = 1.15
The sum is too large. The sum needs to be 1.00 or just 1.
So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.
For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.
Answer:
Given speed of trolley = 125 meters per minute

Now we know that
Distance= Speed x time
Thus for the first case since the time of travel is less than 450 seconds thus the distance traveled is less than
Distance < 2.083 x 450 =937.5 meters
hence depending on the given information we cannot come to any conclusion weather the distance travelled is less than 800 m or greater than 800 m.
For the second case
since the time of travel is greater than 400 seconds
Thus the distance traveled is

which is greater than 800 meters.
Answer:
-16 + 8z
Step-by-step explanation:
4(-4 + 2z)=
Distribute the 4
4*-4 + 4(2z)
-16 + 8z
A straight angle measures 180 degrees.
Angle x and the 150-degree angle form a straight angle.
x + 150 = 180
x = 30
Angle z and the 100-degree angle form a straight angle.
z + 100 = 180
z = 80
Now you know the measures of two angles of the three angles of the triangle. The sum of the measures of the angle of a triangle equals 180 degrees.
x + y + z = 180
30 + y + 80 = 180
y + 110 = 180
y = 70
Answer: x = 30; y = 70; z = 80