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3 years ago

Can a repeating decimal can be written as an integer?

Mathematics

2 answers:

gogolik [260]3 years ago

5 0

Yes it can be done by integer.

steposvetlana [31]3 years ago

3 0

Yes a repeating decimal can be written as an integer

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The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with me

lisov135 [29]

Answer:

a) 0.4647

b) 24.6 secs

Step-by-step explanation:

Let T be interval between two successive barges

t(t) = λe^λt where t > 0

The mean of the exponential

E(T) = 1/λ

E(T) = 8

1/λ = 8

λ = 1/8

∴ t(t) = 1/8×e^-t/8 [ t > 0]

Now the probability we need

p[T<5] = ₀∫⁵ t(t) dt

=₀∫⁵ 1/8×e^-t/8 dt

= 1/8 ₀∫⁵ e^-t/8 dt

= 1/8 [ (e^-t/8) / -1/8 ]₀⁵

= - [ e^-t/8]₀⁵

= - [ e^-5/8 - 1 ]

= 1 - e^-5/8 = 0.4647

Therefore the probability that the time interval between two successive barges is less than 5 minutes is 0.4647

Now we find t such that;

p[T>t] = 0.95

t_∫¹⁰ t(x) dx = 0.95

t_∫¹⁰ 1/8×e^-x/8 = 0.95

1/8 t_∫¹⁰ e^-x/8 dx = 0.95

1/8 [( e^-x/8 ) / - 1/8 ]¹⁰_t = 0.95

- [ e^-x/8]¹⁰_t = 0.96

- [ 0 - e^-t/8 ] = 0.95

e^-t/8 = 0.95

take log of both sides

log (e^-t/8) = log (0.95)

-t/8 = In(0.95)

-t/8 = -0.0513

t = 8 × 0.0513

t = 0.4104 (min)

so we convert to seconds

t = 0.4104 × 60

t = 24.6 secs

Therefore the time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t is 24.6 secs

6 0

3 years ago

Janie has 4 pieces of fruit. 2 of the pieces of fruit are bananas. Write 2 fractions that describe the fraction of fruit that ar

Aleonysh [2.5K]

Answer:

1/2

Step-by-step explanation:

4 fruit and 2 of them are banana so 2/4

banana go on top and total number of fruit go on bottom

to simplify divide numerator and denominator by 2

2/2 1

------ = ---------

4/2 2

8 0

3 years ago

Read 2 more answers

A store has a bargain bin filled with red (R), blue (B), pink (P), and yellow (Y) shirts in sizes small (S) and large (L). Which

olasank [31]

Option D:

Possible outcomes when randomly pulling one shirt from the bin are

RS, RL, BS, BL, PS, PL, YS, YL

Solution:

Color of shirts are:

Red (R), Blue(B), Pink(P), Yellow(Y).

Size of shirts are:

Small(S), Large(L)

This means that each color of shirts have both in small and large size.

Shirts in bargain bin are:

Red in Small (RS), Red in Large (RL)

Blue in Small (BS), Blue in Large (BL)

Pink in Small (PS), Pink in Large (PL)

Yellow in Small (YS), Yellow in Large (YL)

Possible outcomes when randomly pulling one shirt are:

RS, RL, BS, BL, PS, PL, YS, YL

Hence Option D is the correct answer.

7 0

3 years ago

Read 2 more answers

How do I solve this equation -3.9÷1.3

yaroslaw [1]

- 3.9 / 1.3 = - 3/1 = - 3

Calculation Steps:

Conversion:

3.9 = 39/10

Unary Minus:

- 3.9 = - 39/10

Conversion:

1.3 = 13/10

Divide:

- 39/10 : 1.3

= - 39/10 * 10/13

= - 39 * 10/ 10 * 13

= - 390/130

= - 3

Answer: - 3

Hope that helps!!!! Answer: - 3

8 0

3 years ago

You measure age (years), weight (pounds), and marital status (single, married, divorced, widowed) of 1400 women. How many varia

Likurg_2 [28]

C. 3

The age, weight, and marital status' are the variables.

5 0

3 years ago