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Juli2301 [7.4K]
3 years ago
10

Write 0.38 as a fraction in lowest terms.

Mathematics
2 answers:
svlad2 [7]3 years ago
5 0

Answer:

19/50

Step-by-step explanation:

\sf{}

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

Maksim231197 [3]3 years ago
5 0

Answer:

19/50

Step-by-step explanation:

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Show all your steps<br> 5| x | + 3 &lt; 18
Jet001 [13]

Answer:

-3 < x < 3

x is some number between -3 and 3; x cannot equal -3, x cannot equal 3

graph shown below

==============================================

Work Shown:

5|x| + 3 < 18

5|x| + 3 - 3 < 18-3 ... see note 1

5|x| < 15

(5|x|)/5 < 15/5 .... note 2

|x| < 3

-3 < x < 3 .... note 3

graph shown below

-----------

note 1: Subtract 3 fom both sides to undo the "+3"

note 2: Divide both sides by 5 to undo the multiplication

note 3: If |x| < k, for some positive number k, then -k < x < k

3 0
3 years ago
Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers
Alenkinab [10]

Given:

\sigma_A=3

n_A=6

\sigma_B=5

n_B=4

\overline{x}_A=\overline{x}_B

To find:

The variance. of combined set.

Solution:

Formula for variance is

\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}      ...(i)

Using (i), we get

\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}

(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

54=\sum (x_i-\overline{x}_A)^2

Similarly,

\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}

(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}

25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}

100=\sum (x_i-\overline{x}_B)^2

Now, after combining both sets, we get

\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}

\sigma^2=\dfrac{54+100}{6+4}

\sigma^2=\dfrac{154}{10}

\sigma^2=15.4

Therefore, the variance of combined set is 15.4.

7 0
3 years ago
A flower bed has the shape of a rectangle 15 feet long and 12 feet wide. What is its area in square yards?
Romashka-Z-Leto [24]
20 square yards. 15 * 12 is 180 and then you divide it by 9 which gives you 20 square yards. 9 square feet are equivalent to a square yard.
6 0
3 years ago
Read 2 more answers
Does anyone know the answer?
Hitman42 [59]

Answer:

Step-by-step explanation:

6x5 is 30

3 0
3 years ago
Read 2 more answers
The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected
Naddik [55]
If in 2000 there were 430 folksk, 2010 is 10 years later, thus t = 10

\bf \qquad \textit{Amount for Exponential Growth}\\\\&#10;A=I(1 + r)^t\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;I=\textit{initial amount}\to &430\\&#10;r=rate\to 0.9\%\to \frac{0.9}{100}\to &0.009\\&#10;t=\textit{elapsed time}\to &10\\&#10;\end{cases}&#10;\\\\\\&#10;A=430(1+0.009)^{10}\implies A=430(1.009)^{10}
7 0
4 years ago
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