3 years ago

A newspaper poll found that 54% of the respondents in a random sample of voters from a district in a city plan to vote

Mathematics

2 answers:

worty [1.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

Edg 2021

Klio2033 [76]3 years ago

3 0

Answer:

We can be 95% confident that the true proportion of voters who will vote for Roberts is between 48% and 60%.

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The equation y = 1/5x represents a proportional relationship. Explain how you can tell the relationship is proportional from the

andre [41]

If a graph is proportional then the line will go through the origin at point (0, 0). If the equation is proportional then it will be in the form of y=kx with no other operations after. The constant of proportionality is another way to say the slope and in your specific equation the slope would be 1/5.

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3 years ago

14 10 56 40 14 x 56 find the length of the missing side

IrinaK [193]

Answer: 14x56=784

Step-by-step explanation:

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3 years ago

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4 years ago

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3 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

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4 years ago