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3 years ago

For brainiest:):):):):):):):):):)

Mathematics

1 answer:

dedylja [7]3 years ago

3 0

Answer:

see the image you will get the answer...

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A clinical trial is being ran to see if a new headache medication offers relief for more than 80% of patients. It is found there

ryzh [129]

Answer:

Hence there is a strong probability the true proportion of patients who get relief from headaches while on this medication is greater than 80%.

Step-by-step explanation:

The required truth is " there's strong evidence this medication reached its the goal of quite 80% of patients getting relief. " Because we wanted to check whether the new medication offers relief for quite 80% of patients or not.

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3 years ago

The table represents the function f(x).

Yanka [14]

Answer: The answer is nine, because

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4 years ago

Which ordered pair is a solution to this inequality? -2/3x-4y > 0

Lynna [10]

c i think (answer needs to be 20 characters long)

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3 years ago

X ^ (2) y '' - 7xy '+ 16y = 0, y1 = x ^ 4

AfilCa [17]

Given a solution $y_1(x)=x^4$ , we can attempt to find another via reduction of order of the form $y_2(x)=x^4v(x)$ . This has derivatives

${y_2}'=4x^3v+x^4v'$
${y_2}''=12x^2v+8x^3v'+x^4v''$

Substituting into the ODE yields

$x^2(x^4v''+8x^3v'+12x^2v)-7x(x^4v'+4x^3v)+16x^4v=0$
$x^6v''+(8x^5-7x^5)v'+(12x^4-28x^4+16x^4)v=0$
$x^6v''+x^5v'=0$

Now letting $u(x)=v'(x)$ , so that $u'(x)=v''(x)$ , you end up with the ODE linear in $u$

$x^6u'+x^5u=0$

Assuming $x\neq0$ (which is reasonable, since $x=0$ is a singular point), you can divide through by $x^5$ and end up with

$xu'+u=(xu)'=0$

and integrating both sides with respect to $x$ gives

$xu=C_1\implies u=\dfrac{C_1}x$

Back-substitute to solve for $v$ :

$v'=\dfrac{C_1}x\implies v=C_1\ln|x|+C_2$

and again to solve for $y$ :

$y=x^4v\implies \dfrac y{x^4}=C_1\ln|x|+C_2$
$\implies y=C_1\underbrace{x^4\ln|x|}_{y_2}+C_2\underbrace{x^4}_{y_1}$

Alternatively, you can solve this ODE from scratch by employing the Euler substitution (which works because this equation is of the Cauchy-Euler type), $t=\ln x$ . You'll arrive at the same solution, but it doesn't hurt to know there's more than one way to solve this.

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4 years ago

I throw a fair, six-sided die 240 times. How many times would I expect to get:

Mila [183]

Answer:

an even number 120 times

a 3 40 times

a 4 or a prime number 160 times

Step-by-step explanation:

240÷6=40

3 even numbers

40x3=120

3 prime numbers and 1 4

4x40=160

6 0

3 years ago