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3 years ago

CAN SOMEONE PLEASE HELP ME ANSWER THIS

Mathematics

1 answer:

exis [7]3 years ago

7 0

Answer:

3/8 or 37.5%

Step-by-step explanation:

_______+

8 total positions

3/8=37.5%

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Mathematically verify the outlier(s) in the data set using the 1.5 rule.

statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

$Q_1=\dfrac{11+13}{2}$

$Q_1=\dfrac{24}{2}$

$Q_1=12$

And

$Q_3=\dfrac{16+16}{2}$

$Q_3=\dfrac{32}{2}$

$Q_3=16$

The interquartile range is:

$IQR=Q_3-Q_1$

$IQR=16-12$

$IQR=4$

The data values lies outside the interval $[Q_1-1.5IQR,Q_3+1.5IQR]$ are known as outliers.

$[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]$

$[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]$

$[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]$

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0

2 years ago

An inheritance of $40,000 is divided among three investments yielding $3,500 in interest per year. The interest rates for the th

a_sh-v [17]

Answer:

x = $ 16,000 , y = $13,000 z= $11,000

Step-by-step explanation:

given,

Investment amount $40,000

three investments yielding = $3,500

three investments are 7%, 9%, and 11%

second and third are $3,000 and $5,000 less than the first

0.07 x + 0.09 y + 0.11 z = $ 3,500

x + (x - 3000 ) + (x - 5000) = $ 40,000

3x = $48,000

x = $ 16,000

y = 16000 - 3000 = $ 13,000

z = 16000 - 5000 = $ 11,000

the investment by each

x = $ 16,000 , y = $13,000 z= $11,000

4 0

3 years ago

1. If OQ and RT are parallel lines which statement is true?

Kaylis [27]

Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]

C). m∠OPS + m∠OPN = 180° [Linear pair of angles]

D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

And m∠TSP + m∠TSU = 180° [Linear pair of angles]

Therefore, Option (A) is the correct option.

Question (2).

A). m∠RSP + m∠RSU = 180° [Linear pair of angles]

B). m∠RSP + m∠PST = 180° [Linear pair of angles]

C). ∠RSP ≅ ∠TSU [Vertically opposite angles]

D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]

Therefore, Option (C) will be the answer.

3 0

2 years ago

Read 2 more answers

8 1/3 of what number is 50.5

maks197457 [2]

I hope this helps you

6 0

3 years ago

Jordan is making a beaded necklace two thirds of the beads she uses are red and 4/21 of the beads are blue she wants the rest to

stiks02 [169]

Answer:

2/3= 14/21....red beads...4/21 blue beads...14+4= 18/21...so you need 3/21 more to finish the necklace and 3/21=1/7 in white beads

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELP ME ANSWER THIS ​

CAN SOMEONE PLEASE HELP ME ANSWER THIS