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Burka [1]
1 year ago
12

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month

to answer the questions. Part A: Estimate the IQR for the males' data. (2 points) Part B: Estimate the difference between the median values of each data set. (2 points) Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points) Part D: Provide a possible reason for the outlier in the data set. (2 points)

Mathematics
2 answers:
Grace [21]1 year ago
8 0
<h2>Answer with explanation:</h2>

A. For males, Third quartile =14, First quartile = 3   (approx)

IQR = Third quartile - First quartile

= 14-3 = 11

B. For males,  Median = 12

For females, Median = 17

The difference between the median values = 17-12=5

C. The mean would be a better measure of center for females because the data has no outliers.

The median would be a better measure of center for males because the data has outliers.

D. Reason for outlier:  A large number of males gone for movie which is extreme value for the remaining values.

avanturin [10]1 year ago
6 0
The man 1212 is so good
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The triangle DEF is shown in the diagram.<br>Find the exact value of x.<br>​
vladimir1956 [14]

Answer:

x = 4

Step-by-step explanation:

Using cosine triangle formula, we know that;

c² = a² + b² - 2ac(cos C)

From our diagram;

a = 2x

b = x + 1

c = 7

C = 60°

Thus;

7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60

49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)

49 = 5x² + 2x + 1 - 2x² - 2x

3x² + 1 - 49 = 0

3x² - 48 = 0

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

8 0
1 year ago
Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data
Bad White [126]

Answer:

The correct options are;

Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B

City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A

Step-by-step explanation:

Here we have for City A

Maximum - Minimum = 10

Interquartile range =3

City B

Maximum - Minimum = 18.5

Interquartile range =9.5

Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B

City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A.

7 0
2 years ago
Read 2 more answers
Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac
melomori [17]
Let numbers of books be 'b' and numbers of CDs be 'c'

We can set up two equations:
Equation [1] ⇒ b+c=20
Equation [2] ⇒ 1.50b+5c=54.50

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; b and c, that we need to solve, then this becomes a simultaneous equation problem. 

First, rearrange Equation [1] to make either b or c the subject:
b+c=20
b=20-c

Then we substitute b=20-c into Equation [2]
1.50b+5c=54.50
1.50(20-c)+5c=54.50
30-1.50c+5c=54.50
5c-1.5c=54.50-30
3.5c=24.50
c=7

Now we know the value of c which is c=7, substitute this value into b=20-c we have b=20-7=13

Answer:
Numbers of books = 13
Numbers of CDs = 7
5 0
2 years ago
Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1 ft thick. The bin is 5 feet
yawa3891 [41]

Answer:

600 books

Step-by-step explanation:

The bin's dimensions are

5 by 2 by 3

THe volume of the bin is the multiplication of the 3 dimensions given.

Volume of Bin = 5 * 2 * 3 = 30 cubic feet

Now, volume of each book would be gotten the same way. The dimensions of one book is:

1 by 0.5 by 0.1

Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet

The number of books that will fit in the bin would be:

30/0.05 = 600 books

6 0
2 years ago
It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of ca
ohaa [14]

Answer:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Step-by-step explanation:

Consider the inequality 25x+200y\geq 1000

Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.

To write: three different amounts of milk and cheese that a person could consume to meet the recommendation

Solution:

Take x=20,y=3

25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000

So, x=20,y=3 satisfy the inequality 25x+200y\geq 1000

Take x=30,y=4

25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000

So, x=30,y=4 satisfy the inequality 25x+200y\geq 1000

Take x=40,y=5

25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000

So, x=40,y=5 satisfy the inequality 25x+200y\geq 1000

Therefore,

three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

5 0
1 year ago
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