Convert the improper fraction below to a mixed number. 13/4

Suppose that there are 20 numbers in a data set and that they are all different. How many of the values in this data set are bet

antoniya [11.8K]

Answer:

10 Values

Step-by-step explanation:

We would use a set of data for illustration

Given the set of numbers:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

Since we have an even number of data, the median is in between 10 and 11.

(1,2,3,4,5,6,7,8,9,10),(11,12,13,14,15,16,17,18,19,20)

Lower Half: (1,2,3,4,5,6,7,8,9,10)

The median of the lower half is in between 5 and 6. So $Q_1$ is in between 5 and 6.

Upper Half:(11,12,13,14,15,16,17,18,19,20)

The median of the upper half is in between 15 and 16. So $Q_3$ is in between 15 and 16.

Therefore, we have the [position of the first and third quartiles as:

1,2,3,4,5, $Q_1$ ,6,7,8,9,10,11,12,13,14,15, $Q_3$ ,16,17,18,19,20

There are 10 values in between the first and third quartiles.

7 0

3 years ago

What is <2 if <4 is 35

Rudiy27

Answer:

2 is 17.5

Step-by-step explanation:

bc the half of 4 is 2 since 4 is 35 we have to find the half of 35 and how we do that is by dividing it by 2.

35%2=17.5 so 2 is equal 17.5 so <2 is 17.5

4 0

3 years ago

When a graph line is vertical, it indicates that the relation:

marta [7]

Answer:

The relation has an undefined slope if the graph line is just vertical.

7 0

3 years ago

What are the measurements of the two angles in the sketch?

Setler79 [48]

Answer:

Step-by-step explanation:

So you got (4x-15) and x

We know it will equal 180 total so you will do

(4x-15)+x=180

Add 15 to each side

4x+x=195

5x=195

Divide each side by 5

x=39

So if X equals 39, your only possible answer is A

6 0

4 years ago

Juan and Lizzy are in the final week of their training for a marathon. Juan's goal is to run one mile on the first day of the we

miss Akunina [59]

Answer:

1. Juan's marathon training schedule is an example of a geometric sequence

2. Lizzy's marathon training schedule is an example of an arithmetic sequence

3. Lizzy will be better prepared for the marathon

Step-by-step explanation:

In the arithmetic sequence there is a common difference between each two consecutive terms

In the geometric sequence there is a common ratio between each two consecutive terms

Juan's Schedule

∵ Juan's will run one mile on the first day of the week

∴ $a_{1}$ = 1

∵ He will double the amount he runs each day for the next

6 days

- That means he multiplies each day by 2 to find how many miles

he will run next day

∴ $a_{2}$ = 1 × 2 = 2 miles

∴ $a_{3}$ = 2 × 2 = 4 miles

∴ $a_{4}$ = 4 × 2 = 8 miles

∴ $a_{5}$ = 8 × 2 = 16 miles

∴ $a_{6}$ = 16 × 2 = 32 miles

∴ $a_{7}$ = 32 × 2 = 64 miles

That means there is a common ratio 2 between each two consecutive days

1. Juan's marathon training schedule is an example of a geometric sequence

Lizzy's Schedule

∵ Lizzy's will run 10 miles on the first day of the week

∴ $a_{1}$ = 10

∵ She will increase the amount she runs by 3 miles each day for

the next six days

- That means she adds each day by 3 to find how many miles

she will run next day

∴ $a_{2}$ = 10 + 3 = 13 miles

∴ $a_{3}$ = 13 + 3 = 16 miles

∴ $a_{4}$ = 16 + 3 = 19 miles

∴ $a_{5}$ = 19 + 3 = 22 miles

∴ $a_{6}$ = 22 + 3 = 25 miles

∴ $a_{7}$ = 25 × 3 = 28 miles

That means there is a common difference 3 between each two consecutive days

2. Lizzy's marathon training schedule is an example of an arithmetic sequence

The rule of the sum of nth term in the geometric sequence is $S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$

∵ $a_{1}$ = 1 , r = 2 and n = 7

∴ $S_{7}=\frac{1(1-2^{7})}{1-2}$

∴ $S_{7}$ = 127

∴ Juan will run 127 miles in the final week

The rule of the sum of nth term in the arithmetic sequence is $S_{n}=\frac{n}{2}[a_{1}+a_{n}]$

∵ n = 7, $a_{1}$ = 10 and $a_{7}$ = 28

∴ $S_{7}=\frac{7}{2}(10+28)$

∴ $S_{7}$ = 133

∴ Lizzy will run 133 miles in the final week

∵ 133 miles > 127 miles

∴ Lizzy will run more miles than Juan

3. Lizzy will be better prepared for the marathon

7 0

3 years ago