1. (1/x^3)^2..plz help 2.. (X^2/9)^2

What is 0.0003840 expressed in scientific notation

neonofarm [45]

You can write the fraction 0.0003840 a number of ways.
0.0003840 = 0.003840/10 = 0.03840/100 = 0.3840/1000 = 3.840/10000

The one we're interested in is the last one, which has one non-zero digit to the left of the decimal point. The power of 10 in the denominator is the 4th power (the number of zeros is 4). 10^4 in the denominator is equivalent to multiplying by 10^(-4) in the numerator.

Expressed in scientific notation,
$0.0003840=3.840 \cdot 10^{-4}$

5 0

3 years ago

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If you are a dog lover, having your dog with you may reduce your stress level. Does having a friend with you reduce stress? To e

Pepsi [2]

The outlier of a dataset is a data element that is relatively far from the remaining data elements

99 is an outlier of pet group
See attachment for the parallel box plots

(a) Prove that 99 is an outlier for Pet

We have:

Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99

$n = 15$

The quartiles positions are:

$Q_1 = \frac{n + 1}{4}$

$Q_1 = \frac{15 + 1}{4}$

$Q_1 = \frac{16}{4}$

$Q_1 = 4th$

$Q_3 = Q_1 \times 3$

$Q_3 = 4th \times 3$

$Q_3 = 12th$

So, we have:

$Q_1 = 4th$

$Q_3 = 12th$

From the pet group:

The data elements at the 4th and 12th positions are 68 and 79

So, we have:

$Q_1 = 68$

$Q_3= 79$

The lower and upper limits of the outlier are:

$L = Q_1 - 1.5 \times (Q_3 - Q_1)$

$U = Q_3 + 1.5 \times (Q_3 - Q_1)$

So, we have:

$L = 68 - 1.5 \times (79 - 68)$

$L = 51.5$

$U = 79+ 1.5 \times (79 - 68)$

$U = 95.5$

This means that data below 51.5 or above 95.5 are outliers.

Hence, 99 is an outlier because 99 is greater than 95.5

(b) The parallel box plot

The three groups are:

Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99

Erlento: 88 80 80 81 92 87 88 81 82 80 87 92 87 80 82

Alone: 62 70 73 75 77 80 84 84 84 87 87 87 90 91 99

See attachment for the parallel box plots

Read more about box plots and outliers at:

brainly.com/question/14940764

5 0

3 years ago

What is the nearest hundred to 142

andrew11 [14]

Answer: it is 1.42!

Step-by-step explanation:

If you have anymore questions I will be happy to help! Plz mark brainliest

4 0

3 years ago

1+ [2+x] =9 A. X=7 or x = -11 B. X=5 or x= -9 C. X=4 or x= -8 D. X=6 or x= -10

Vikentia [17]

D is the correct answer, first you have to write to you equations 1+ the absolute value of 2+ X equals nine and 1+ the absolute value of 2+ X equals -9 then you must subtract one from both sides

3 0

3 years ago

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Which ordered pair is a solution to the system of equations? (2x - y=-2 (5x – 2y = 7

mrs_skeptik [129]

Answer:

21

Step-by-step explanation:

the answer to everything is 21

4 0

3 years ago