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1 year ago

Farmer John walks his pet pig around his barn every day. The barn is 25

Mathematics

1 answer:

kkurt [141]1 year ago

4 0

Answer:

900m

Step-by-step explanation:

A=wl

W=25

L=12

A=25 x 12

A= 300

300 meters x 3 laps = 900 meters walked

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An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining after 10 minutes, to the nearest

trasher [3.6K]

$\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &730\\
r=rate\to 28.8\%\to \frac{28.8}{100}\to &0.288\\
t=\textit{elapsed time}\to &10\\
\end{cases}
\\\\\\
A=730(1-0.288)^{10}\implies A=730(0.712)^{10}$

6 0

2 years ago

Read 2 more answers

7. A hotelier conducted a survey of guests staying at her hotel. The table shows some

jonny [76]

Answer:

here's the solution :-

Step-by-step explanation:

i hope it helped...

8 0

1 year ago

Which statements can be represented by this equation? Select three options.

mars1129 [50]

Answer:

Options A,C and E.

Step-by-step explanation:

The given equation is

$2n-9.2=n+\dfrac{4}{5}$

Let n be the unknown number, then

Twice a number minus nine and two-tenths is the same as the number plus four-fifths.

$2n-9.2=n+\dfrac{4}{5}$

So, option A is correct.

Nine point two decreased by double a number is the same as the number added to four-fifths.

$9.2-2n=n+\dfrac{4}{5}$

Nine point two less than twice a number is equal to the number added to four-fifths.

$2n-9.2=n+\dfrac{4}{5}$

So, option C is correct.

Two times the difference of a number and nine and two-tenths is equal to the number plus four-fifths.

$2(n-9.2)=n+\dfrac{4}{5}$

Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.

$2n-9.2=n+\dfrac{4}{5}$

So, option E is correct.

Therefore, the correct options are A,C and E.

5 0

1 year ago

Read 2 more answers

A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point.

Gwar [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of solved puzzles

y -----> the number of solved riddles

we know that

$2x+y \geq 4$

The solution of the inequality is the shaded area above the solid line $2x+y=4$

The slope of the solid line is negative $m=-2$

The y-intercept of the solid line is the point (0,4)

The x-intercept of the solid line is the point (2,0)

therefore

The graph in the attached figure

3 0

2 years ago

Read 2 more answers

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

1 year ago