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3 years ago

Express 0·4393939... as a fraction in its lowest term

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

8 0

Answer:

$\frac{29}{66}$

Step-by-step explanation:

We require 2 equations with the repeating digits 39 placed after the decimal point.

let x = 0.43939... ( multiply both sides by 10 and 1000 )

10x = 4.3939... → (1)

1000x = 439.3939... → (2)

Subtract (1) from (2) eliminating the repeating digits

990x = 435 ( divide both sides by 990 )

x = $\frac{435}{990}$ = $\frac{29}{66}$ ← in simplest form

Evgen [1.6K]3 years ago

3 0

Answer:

x= 439/999

Step-by-step explanation:

let x= 0.439439.... -> eq.1

1000x= 439.439439.... -> eq.2

eq.2-eq.1 => 1000-x= 439.439....-0.439439...

999x= 439

x= 439/999

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In the floor tile pattern, the figure is a square and the two triangles are congruent.

Licemer1 [7]

Answer:

7.1

Step-by-step explanation:

Since it is a square you can use the Pythagorean theorem (a²+b²=c²) by filling in what you know. a²=5 and b²=5 so you have 5²+5²=c². This simplfies to 25+25=c². Now you simplify again to get 50=c². Finally you have to square root everything because the equation can't end in c², it has to be the most simplified it can be. This equals ≈7.1

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3 years ago

If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45

saveliy_v [14]

Answer:

The decimal point should be placed after the 0 in 45780.

Step-by-step explanation:

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3 years ago

Mixed in a drawer are 44 blue socks, 88 white socks, and 44 gray socks. You pull out two socks, one at a time, without looki

MrRissso [65]

Answer:

The probability of getting 2 socks of the same color is 1/3.

Step-by-step explanation:

In the drawer,

Number of blue socks = 4

Number of white socks = 8

Number of gray socks = 4

Total number of socks = 4 + 8 + 4 = 16

Total ways to select 2 socks form 16 socks is

$^{16}C_2=\dfrac{16!}{2!(16-2)!}=120$

Total ways to select 2 socks of the same color is

T = Possible ways of (2 blue + 2 white +2 gray) socks

= $^{4}C_2+^{8}C_2+^{4}C_2$

= $6+28+6$

= $40$

The probability of getting 2 socks of the same color is

$Probability=\dfrac{\text{Total ways to select 2 socks of the same color}}{\text{Total ways to select 2 socks form 16 socks}}$

$Probability=\dfrac{40}{120}$

$Probability=\dfrac{1}{3}$

Therefore, the probability of getting 2 socks of the same color is 1/3.

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3 years ago

What is the value of a?

Elan Coil [88]

Note that the interior angles must add up to 180 degrees: 50+62+m<C = 180.
Then 112 + m<C = 180, so that m<C =68 degrees.

Use the Law of Sines to find the value of a, as follows:

sin 50 deg sin 62 deg
-------------- = ----------------
a 31 cm
31sin 50 31(0.766)
Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm
sin 62 0.883

a =

6 0

4 years ago

Read 2 more answers

Andrea is told that the means of two groups in a study were statistically significant. She knows the means and standard deviatio

salantis [7]

Answer:

Cohen's D

Step-by-step explanation:

Cohen's D is a statistic that measures effect size. It shows standardised difference between 2 means.

Effect size is defined as how large the effect of a something is or its magnitude.

Cohen's D works effectively when the sample is >50 (that is for large samples). However a correction factor can be used to make results from small samples more accurate

The formular for Cohen's D is:

D = (mean1 - mean2) ÷ (√({standard deviation1}^2 + {standard deviation 2}^2)/2)

This is the most appropriate method in the given scenario

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3 years ago