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Valentin [98]
2 years ago
13

Part c when sizes of pizzas are quoted in inches, the number quoted is the diameter of the pizza. a restaurant advertises an 8-i

nch "personal pizza." if this 8-inch pizza is the right size for one person, how many people can be fed by a large 16-inch pizza? express your answer numerically. view available hint(s)
Mathematics
2 answers:
Alex777 [14]2 years ago
8 0
Uh, i think this one is "two people", even though a 16 inch pizza is, in my opinion, more than enough. sorry if incorrect.
hodyreva [135]2 years ago
3 0
The number of people it feeds depends on the area of the pizza.
We must find the area of an 8-inch pizza and the area of a 16-inch pizza.


A = pi*r^2
8-inch pizza:
diameter = 8 inchesradius = 4 inches
A = pi * (4 in)^2 = 16pi in^2
16-inch pizza:
diameter = 16 inchesradius = 8 inches
A = pi * (8 in)^2 = 64pi in^2
An 8-inch pizza has an area of 16pi in^2.
A 16-inch pizza has an area of 64pi in^2.

How many times greater is the area of the 16-inch pizza than the area of the 8-inch pizza?
ratio = (64pi in^2)/(16pi in^2) = 64/16 = 4
A 16-inch pizza has 4 times the area of an 8-inch pizza.
Since an 8-inch pizza feeds one person, a 16-inch pizza feeds 4 people.
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Answer:

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Now we can find the limits in order to determine outliers like this:

Left = Q_1 -1.5 IQR = 18 -1.5*10=3

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So for this case the left boundary would be 3, if a value is lower than 3 we consider this observation as an outlier

b. 3

Step-by-step explanation:

For this case we have the following summary:

Minimum = 9 represent the minimum value

Q_1 = 18 represent the first quartile

Median =Q_2= 21 represent the median

Q_3 = 28 represent the third quartil

Maximum=56 represent the maximum

If we use the 1.5 IQR we need to find first the interquartile range defined as:

IQR = Q_3 -Q_1 = 28-18 = 10

Now we can find the limits in order to determine outliers like this:

Left = Q_1 -1.5 IQR = 18 -1.5*10=3

Right = Q_1 +1.5 IQR = 18 +1.5*10=33

So for this case the left boundary would be 3, if a value is lower than 3 we consider this observation as an outlier

b. 3

7 0
2 years ago
Mei and Anju are sitting next to each other on different horses on a carousel. Mei's horse is 3 meters from the center of the
SOVA2 [1]

Answer:

2\pi \approx 6.28\ meters

Step-by-step explanation:

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l_M=2\pi r=2\pi \cdot 3=6\pi\ meters

Anju's horse is 2 meters from the center. After one rotation, Mei travelled

l_A=2\pi r=2\pi \cdot 2=4\pi\ meters

The difference in their travelled distances is

l_M-l_A=6\pi -4\pi =2\pi \approx 6.28\ meters

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2 years ago
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17. A local university accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as
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3 0
2 years ago
A video game sets the points needed to reach the next level based on the function g(x) = 8(2)x + 1, where x is the current level
Liula [17]
For us to determine the number of points that is needed in order to surpass or succeed the hardest setting of the game level 5, we use first the function g(x) to determine the total points required for the lower level.
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We substitute the x of the function with 5 since we are in level 5.
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Then, to determine the points for the hardest setting, we multiply the points by 3 as given in function h(x).
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Hence, to succeed the hardest setting of level 5, one needs a total of 243 points.
7 0
2 years ago
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