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2 years ago

How do you write 0.8 recurring as a fraction?please can i have an explanation aswell :)

Mathematics

1 answer:

monitta2 years ago

7 0

Answer:

$\frac{8}{9}$

Step-by-step explanation:

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

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = $\frac{8}{9}$

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A national business magazine reports that the mean age of retirement for women executives is 61.7. A women’s rights organization

Marina CMI [18]

Answer:

The calculated value |Z| = |-2.0375| = 2.0375<2.0541.96 at 0.02 level of significance

A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.

Step-by-step explanation:

Step(i):-

Given that the mean age of retirement for women, executives is 61.7

Given mean of the Population = 61.7

Given that the size of the sample 'n' = 82

Given that the mean of sample x⁻ = 60.8

Given that the standard deviation 'σ' = 4.0years

Step(ii):-

Null hypothesis:H₀: μ ≠ 61.7

Alternative Hypothesis: H₁: μ = 61.7

Test statistic

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{60.8-61.7}{\frac{4.0}{\sqrt{82} } }$

Z = -2.0375

|Z| = |-2.0375| = 2.0375< 2.054 at 0.02 level of significance

Final answer:-

The calculated value |Z| = |-2.0375| = 2.0375 <2.054 at 0.02 level of significance

A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.

7 0

3 years ago

Which of the following numbers is irrational?

zalisa [80]

Answer:

square root of 5 my dude

3 0

3 years ago

I need help with number 5

lara31 [8.8K]

Answer:

-14 *F

Step-by-step explanation:

-3 minus 11 is -14

hope this helps

7 0

3 years ago

Read 2 more answers

find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first

Viefleur [7K]

2n + 1 , 2n + 3 , 2n + 5

____________________________

( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15

4n + 8 = 10n + 5 - 15

4n + 8 = 10n - 10

Add both sides 10

4n + 8 + 10 = 10n - 10 + 10

4n + 18 = 10n

Subtract both sides 4n

4n - 4n + 18 = 10n - 4n

18 = 6n

Divide both sides by 6

18 ÷ 6 = 6n ÷ 6

n = 3

_________________________________

Thus that three numbers are :

2(3) + 1 , 2(3) + 3 , 2(3) + 5

6 + 1 , 6 + 3 , 6 + 5

7 , 9 , 11

And we're done ....

3 0

3 years ago

An angle bisector is a ray starting at the vertex of an angle and divides the angle into two obtuse angles

AVprozaik [17]

False. An angle bisector is a bisector starting at the vertex and cutting an angle in half. It could be obtuse angles, but not always. It is usually two smaller angles. It is a ray, though.

I hope this helps!
~kaikers

8 0

3 years ago