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4 years ago

Plz help! It's another probability question! Whoever answers correctly gets marked as brainliest!

Mathematics

1 answer:

Gelneren [198K]4 years ago

8 0

Answer:

this is what I found:

Step-by-step explanation:

mark brainliest please :)

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The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all?

Ganezh [65]

Answer: twenty-four fifths

Step-by-step explanation:

3/5 x 8 → 3/5 x 8/1 (8/1 is the same as 8) → 3 x 8 = 24 and 5 x 1 = 5 so 3/5 x 8 is 24/5

8 0

3 years ago

Solve the following equation with the initial conditions. x¨ + 4 ˙x + 53x = 15 , x(0) = 8, x˙ = −19

Katen [24]

$x''+4x'+53x=15$

has characteristic equation

$r^2+4r+53=0$

with roots at $r=-2\pm7i$ . Then the characteristic solution is

$x_c=C_1e^{(-2+7i)t}+C_2e^{(-2-7i)t}=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)$

For the particular solution, consider the ansatz $x_p=a_0$ , whose first and second derivatives vanish. Substitute $x_p$ and its derivatives into the equation:

$53a_0=15\implies a_0=\dfrac{15}{53}$

Then the general solution to the equation is

$x=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)+\dfrac{15}{53}$

With $x(0)=8$ , we have

$8=C_1+\dfrac{15}{53}\implies C_1=\dfrac{409}{53}$

and with $x'(0)=-19$ ,

$-19=-2C_1+7C_2\implies C_2=-\dfrac{27}{53}$

Then the particular solution to the equation is

$\boxed{x(t)=\dfrac1{53}e^{-2t}(409cos(7t)-27\sin(7t)+15)}$

8 0

3 years ago

<c is opposite<br><br><br><br>please help me find the answer thank you :)

natta225 [31]

Answer:

A) $\angle C \text{ is opposite } \overline{AB}$

Step-by-step explanation:

We need to name the side of the triangle that is across from angle C. A side of a triangle, if not otherwise given, is named based on the two points that form it. In this case, the side is formed by points B and C, so the side is called $\overline{BC}$ .

7 0

3 years ago

The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown popula

umka21 [38]

Answer:

The answer is " $(25.32, 30.68)$ "

Step-by-step explanation:

Given:

$\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\$

When $98\%$ confidence level so, the z:

$\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\$