Answer:
Dinner only: $75
Dinner and Tip: $90
Step-by-step explanation:
If the tip was $15, and the tip was 20% of the price of dinner, then dinner was $75.
You can find this out by doing 15/20%, which should give you 75.
If the question requires you to add up the price of dinner and the tip, then the total price would be $90
Answer:
The chance of an average six-sided number cube landing one one number is 1/6, or approximately 16.67%. When rolling a number cube 100 times, the average number of times it lands on any specific number should be fairly close to 16.67.
A 6 being rolled 42 times and 33 times means that it is <em>very likely</em> not to be a standard number cube. Although we cannot know for certain, the chance of this happening is very low.
Answer:

If we divide both sides by
we got:

And we can use the normal distribution table or excel to find the probabilites and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:
Where
and 
We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean
is given by:

And we want to find this probability:

If we divide both sides by
we got:

And we can use the normal distribution table or excel to find the probabilites and we got:

Answer:
A. One line
Step-by-step explanation:
Let rearrange the system of equations into explicit forms:




The second equation is identical to the first one, which means that there is just one line.
Answer:
216 min
3 hours and 36 min or 3.6 hours
Step-by-step explanation:
1/9+1/6
6+9/54
15/54
5/18
18/5
60*18/5
1080/5
/= fraction sign
3.6 hours
Step-by-step explanation:
Blake can do work in hours = 9
Blake can do a part of work in 1 hour = 1/9
Ned can paint the same room in six hours.
Ned can do a part of work in 1 hour = 1/6
They can do a part of work together in 1 hour = 1/9+1/6
= 5/18
Now they can do 5/18} part of work in hour = 1
So, they can do whole work in hours = 1/5/18
= 3.6
Hence it will take 3.6 hours to paint the room if they work together.