Answer: large pizza
Work:
1) You can determine the arc of a slice that is 1/12 of the whole pizza using the diameter.
2) First, calculate the total circumference of each pizza.
Formula for the circumference: 2π×radius
radius = diameter / 2
medium pizza: 2π (12 / 2) = 12π ≈ 37.70 in
large pizza: 2π (16/2) = 16π ≈ 50.27 in
3) arc of a 1/12 sector
arc of a 1/12 sector = circumferece × 1/12
medium pizza: 37.70 in / 12 = 3.14 in
large pizza: 50.27 in / 12 = 4.19 ↔ this is pretty close to 4.25
So, at the end we have found that the sector of 4.25 in left belongs to a large pizza.
Answer:
Z=-2
This value means that the score of Rachel 550 it's 2 deviations below the mean of the population
Step-by-step explanation:
1) 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".
represent the population mean for the Graduate Record Exam (GRE)
represent the population standard deviation for Graduate Record Exam (GRE)
2) Solution to the problem
Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:
Where
and
We want to find the z score for a score of 550. And in order to do this we need to apply the formula for the z score given by:
If we apply this formula to our probability we got this:

So the answer for our case would be Z=-2
This value means that the score of Rachel 550 it's 2 deviations below the mean of the population
This is the answer for both number 9 and number 11.
Good luck
Answer:
you both will reach the home at the same time.
I) You can catch your sister.
ii) Reason: you both will reach home at the same time.
Step-by-step explanation:
Let "d" be distance from school to home.
Let's find the speed of you and your sister.
Speed = 
Your speed =
Your sister's speed =
Today, You stayed for some extra help by the time your sister covered
of the way home.
Remaining distance to reach the home = 
=
Now let's find the time to be taken your sister to reach the home.
Time = 
= 
So, your sister will take 20 minutes to get home by the time your start.
We know that it takes you 20 minutes to reach your home.
Therefore, you both will reach the home at the same time.
I) You can catch your sister.
ii) Reason: you both will reach home at the same time.
Answer:
13825
Step-by-step explanation: