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3 years ago

PLS HELP ME WITH 8. 3, 4, and 5 (SHOW WORKKK!!)

Mathematics

2 answers:

Keith_Richards [23]3 years ago

7 0

I cant see #8, 3 is a

frosja888 [35]3 years ago

4 0

For number 3, the answer is B because I use this equation which is 60/1, 120/2, 180/3, so I know that y=60x. For number 4, I know that the rate is 60 miles per hour, so I just take 450 divided 60 to get how long does it take to travel 450 miles which equal 7.5 hours which is A. For number 5, I know that 6 3/4 hours will equal 6.75 hours, so now I just need to take 60 times 6.75 hours to get how many miles does the train ride in 6.75 hours which equal 405 miles which is C. Hope it help!

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A statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20. Use thi

rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

$P(9$

Recall Chebyshev's inequality that

$P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\$

Comparing with the Ii equation which is appropriate here we find that

$\mu =14.5$

Next what we find is

$k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071$

Thus from the given information we find that

$\mu = 14.5\\\sigma = 5.071\\k = 1.084$

5 0

3 years ago

Find the sum of the first 5 terms of the infinite series: 8 + 18 + 28 +

Anna007 [38]

Answer:

8 + 18+ 28+ 38+ 48= 140

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Is .444 rational or irrational???

Murljashka [212]

Any terminating decimal number is rational.
A rational number is a number that can be written as a fraction of integers.

0.444 = 444/1000 = 222/500 = 111/250

0.444 is the same as 111/250, a fraction of integers, so 0.444 is rational.

6 0

3 years ago

Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (negative 6

ELEN [110]

Answer:

$\boxed{ \mathrm{y = \ negative \ 3 x + 3}}$

Step-by-step explanation:

The coordinates are (-6,0) and (-8,6)

<u><em>Finding slope of the line</em></u>

Slope = $\frac{rise}{run} = \frac{y2-y1}{x2-x1}$

Slope = $\frac{6-0}{-8+6}$

Slope = $\frac{6}{-2}$

Slope = -3

Parallel lines have equal slopes.

So, the line which is parallel to this line is y = negative 3 x + 3

7 0

3 years ago

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The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t

wolverine [178]

Answer:

a) The implied differential equation is $\frac{dN}{725 - N} = kdt$

b) The general equation is $N = 725 - C e^{-kt}$

c) The particular equation is $N = 725 - 325 e^{-0.49t}$

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, $\frac{dN}{dt} \alpha (725 - N(t))$

$\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt$

Integrating both sides of the equation

$\int {\frac{1 }{725 - N}} \, dN = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}$