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tia_tia [17]
2 years ago
10

Is 0.212121212121...a rational number because a irrational number does not terminate or repeat?

Mathematics
1 answer:
pentagon [3]2 years ago
8 0
The 21 part repeats

it can be represented as 21/99

it's rational
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In a study of 806 randomly selected medical malpracticeâ lawsuits, it was found that 513 of them were dropped or dismissed. Use
Contact [7]

Solution :

$H_0: p = 0.5$

$H_a: p > 0.5$

Alpha, α = 0.01

The sample proportion is :

$p'=\frac{x}{n}$

   $=\frac{513}{806}$

   = 0.636

Test statistics, $z=\frac{p'-p}{\sqrt{\frac{pq}{n}}}$

$z=\frac{0.636-0.5}{\sqrt{\frac{0.5\times 0.5}{806}}}$

$z=\frac{0.136}{0.0176}$

z = 7.727

The p value = 0.00001

Here we observe that p value is less than α, and so we reject the hypothesis H_0.

Therefore, there is sufficient evidence,

7 0
3 years ago
The mean of a distribution is 276, while the median is 318. Which of these
Fed [463]

Answer:

A.

Step-by-step explanation:

The mean is less than the median so it is skewed to the left or negatively skewed.

8 0
2 years ago
PLS HELP AND SHOW WORK I WILL GIVE BRAINLIEST + EXTRA POINTS WHOEVER SHOWS WORK......
andreyandreev [35.5K]

Answer:

1) b =

\frac{13}{3}

2)m = -2.5

3)y = 15

4)x=2

Step-by-step explanation:

  1. subtract 8b from both sides
  2. subtract 2 from both sides
  3. divide both sides by 3
  4. Substitute this value into the equation and if both sides are equal then it is the solution.

2)Simplifying

7m + 32 = 12 + -1m

Reorder the terms:

32 + 7m = 12 + -1m

Solving

32 + 7m = 12 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.

32 + 7m + m = 12 + -1m + m

Combine like terms: 7m + m = 8m

32 + 8m = 12 + -1m + m

Combine like terms: -1m + m = 0

32 + 8m = 12 + 0

32 + 8m = 12

Add '-32' to each side of the equation.

32 + -32 + 8m = 12 + -32

Combine like terms: 32 + -32 = 0

0 + 8m = 12 + -32

8m = 12 + -32

Combine like terms: 12 + -32 = -20

8m = -20

Divide each side by '8'.

m = -2.5

Simplifying

m = -2.5

3)Simplifying

16 + -5y = 1 + -4y

Solving

16 + -5y = 1 + -4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4y' to each side of the equation.

16 + -5y + 4y = 1 + -4y + 4y

Combine like terms: -5y + 4y = -1y

16 + -1y = 1 + -4y + 4y

Combine like terms: -4y + 4y = 0

16 + -1y = 1 + 0

16 + -1y = 1

Add '-16' to each side of the equation.

16 + -16 + -1y = 1 + -16

Combine like terms: 16 + -16 = 0

0 + -1y = 1 + -16

-1y = 1 + -16

Combine like terms: 1 + -16 = -15

-1y = -15

Divide each side by '-1'.

y = 15

Simplifying

y = 15

4)Simplifying

2x + -8x + 1 = 9 + -10x

Reorder the terms:

1 + 2x + -8x = 9 + -10x

Combine like terms: 2x + -8x = -6x

1 + -6x = 9 + -10x

Solving

1 + -6x = 9 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.

1 + -6x + 10x = 9 + -10x + 10x

Combine like terms: -6x + 10x = 4x

1 + 4x = 9 + -10x + 10x

Combine like terms: -10x + 10x = 0

1 + 4x = 9 + 0

1 + 4x = 9

Add '-1' to each side of the equation.

1 + -1 + 4x = 9 + -1

Combine like terms: 1 + -1 = 0

0 + 4x = 9 + -1

4x = 9 + -1

Combine like terms: 9 + -1 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2

8 0
2 years ago
Determine the value of c that will result in a perfect square trinomial. <br> w^2+6w+ c =130+c
Genrish500 [490]

Answer:

The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: (w+3)^2=139

Step-by-step explanation:

We need to determine the value  of c that will result in a perfect square trinomial.

w^2+6w+ c =130+c

Perfect square trinomial are of form: a^2+2ab+b^2=(a+b)^2

Now, the equation given is:

w^2+6w+ c =130+c

Looking at the term 6w, we can write it as 2(w)(3)

We are given: a = w, 2ab = 2(w)(3) so, b will be: (3)^2

So, we will be adding (3)^2 on both sides

w^2+6w+ c=130+c\\w^2+2(w)(3)+ (3)^2 =130+(3)^2\\The\:left\:side\:becomes: a^2+2ab+b^2\\We\:can\:write\:it\:as: (a+b)^2\\We\:have\:a=w\: and\: b=3\\(w+3)^2=130+9\\(w+3)^2=139

So, The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: (w+3)^2=139

3 0
3 years ago
A/4=8/16 what is the missing number
NNADVOKAT [17]
A/4 = 8/16
cross multiply
(16)(A) = (8)(4)
16A = 32
A = 32/16
A = 2
5 0
3 years ago
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