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chubhunter [2.5K]
3 years ago
10

What expresses 427 thousand is scientific notation

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0
Hi it’s 4.27 x 10^5 (to the 5th power)
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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
Add 280.00 +21.40 +6.30 +.41 = 308.71, I don't know where the 7 was added though
Vitek1552 [10]
I m getting 308.11, there is an additional 0.60 that is added, maybe your source is wrong, or there is a copying error.
8 0
3 years ago
Evaluate the expression for the given value of the variables.
zzz [600]
For every c substitute 4 and for every d substitute -2

c=4
d=-2

6c + 5d - 4c - 3d + 3c - 6d

= 6(4)+ 5(-2)- 4(4)- 3(-2)+ 3(4)- 6(-2)

=24+(-10)-16-(-6)+12-(-12)

=24-10-16+6+12+12

=28
7 0
3 years ago
Gwen borrows 400$ from her parents to buy a bike. She agrees to pay them back plus 4% interest. What is the total amout of money
Sauron [17]

Answer:Gwen will pay $560 in total

Step-by-step explanation:

From the 400 she will pay back and the 40% .40x400= 160 + 400 making it into the total to $560

6 0
3 years ago
A sequence is defined recursively using the formula f(n+1)=-0.5f(n). If the first term of the sequence is 120, what is f(5)?
kumpel [21]
<u><em>Answer:</em></u>
f (5) = 7.5

<u><em>Explanation:</em></u>
<u>The function given is:</u>
f (n+1) = -0.5 f (n)

<u>We are also given that:</u>
first term is 120
<u>This means that:</u>
f (1) = 120

<u>We will get the other terms by substitution as follows:</u>
f (2) = -0.5 f (1) = -0.5(120) = -60
f (3) = -0.5 f(2) = -0.5(60) = 30
f (4) = -0.5 f(3) = -0.5(30) = -15
f (5) = -0.5 f(4) = -0.5(-15) = 7.5

Therefore, f (5) = 7.5

Hope this helps :)
5 0
2 years ago
Read 2 more answers
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