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3 years ago

Please help this is due in an hour

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

6 0

Answer:

Not proportional

Step-by-step explanation:

22/20 does not equal 18/15.

meriva3 years ago

5 0

Answer:

B: Not proportional

Step-by-step explanation:

This wouldn't be proportional because for you, you are making 22 heartbeats in 20 seconds and 22-20 is 2. But if you look at your friend, he/she is doing 18 heartbeats in 15 seconds so add 5 so that 23 heartbeats is happening in 20 seconds and 23-20 is 3. If we compare, 3 is not the same as 2 making it not proportional.

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A sequence of numbers begins with 12 and progresses geometrically. each number is the previous number divided by 2. which value

Viefleur [7K]

1/2 value can be used as the common ratio in an explicit formula that represents the sequence.

Definition of sequence -

The following of one thing after another; succession. order of succession: a list of books in alphabetical sequence.
A continuous or connected series: a sonnet sequence. something that follows; a subsequent event; result; consequence.

A sequence that progresses geometrically has the first term as 12.

Each number is the previous number divided by 2.

so the sequence will be 12, 6, 3, 1.5...........

Explicit formula of a geometric sequence is given by

$T_{n} = ar^{n-1}$

Where $T_{n}$ = nth term of the sequence

a = first term

r = common ratio

and n = number of term

In this sequence common ratio = $\frac{Successive term }{previous term}$

= 6/12

= 1/2

Therefore, common ratio will be 1/2.

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The table shows the hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale. Grade 7 Grade 8 20 21 15

Naddika [18.5K]

Answer:

1. The interquartile range for the grade 7 data is 6.

2. The interquartile range for the grade 8 data is 6.

3. The difference of the medians of the two data sets is 2.

4. The difference is about 1/3 times the interquartile range of either data set.

Step-by-step explanation:

The hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale is given by the following table.

Grade 7 Grade 8

20 21

15 29

30 14

24 19

18 24

21 25

The data set for grade 7 is

20, 15, 30, 24, 18, 21

Arrange the data in ascending order.

15, 18, 20, 21, 24, 30

Divide the data in four equal parts.

(15), 18, (20), (21), 24,( 30)

$Q_1=18, Median=\frac{20+21}{2}=20.5, Q_3=24$

The interquartile range for the grade 7 data is

$IQR=Q_3-Q_1=24-18=6$

Therefore the interquartile range for the grade 7 data is 6.

The data set for grade 8 is

21, 29, 14, 19, 24, 25

Arrange the data in ascending order.

14, 19, 21, 24, 25, 29

Divide the data in four equal parts.

(14), 19, (21), (24), 25, (29)

$Q_1=19, Median=\frac{21+24}{2}=22.5, Q_3=25$

The interquartile range for the grade 8 data is

$IQR=Q_3-Q_1=25-19=6$

Therefore the interquartile range for the grade 8 data is 6.

The difference of the medians of the two data sets is

$D=22.5-20.5=2$

Therefore the difference of the medians of the two data sets is 2.

Let the difference is about x times the interquartile range of either data set.

The IQR of each data is 6.

$D=x(IQR)$

$2=x(6)$

$\frac{2}{6}=x$

$\frac{1}{3}=x$

Therefore the difference is about 1/3 times the interquartile range of either data set.

8 0

3 years ago