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2 years ago

A probability close to 1/2 indicates a chance event is ________ to occur

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

5 0

Neither likely nor unlikely, because there's a 50/50 chance either can happen

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5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

3 years ago

TIMED!! please help me find the measure of angle 5, 6, and 7

Lisa [10]

Answer:

Description

Step-by-step explanation:

5 = 47, vertical angles

6 = 74, triangle interior angles add up to 180

7 = 59, linear pairs add up to 180

8 0

2 years ago

In a competition, a prize is won every 2018 minutes. Work out an estimate for the number of prizes won in 1 year. You must show

vagabundo [1.1K]

Answer:

260

Step-by-step explanation:

Number of hours in one year = 365 x 24 x 60 = 525600

(365 days, 24 hours per day, 60 minutes per hour)

One prize is won every 2018 minutes so in 525600 minutes

525600 / 2018 = 260 prizes will be won (The answer is 260.46, which rounds to 260)

PS: Can I pls get brainliest? I need it to rank up

7 0

2 years ago

The the length of a rectangle is 9 centimeters less than four timesfour times its width. its area is 28 square centimeters. find

wel

Let w = width

then

5w-3 = length

w(5w-3) = 14

5w^2-3w = 14

5w^2-3w-14=0

(5w+7)(w-2) = 0

w = {-7/5, 2}

throw out the negative solution leaving

w = 2 centimeters

length:

5w-3 =5(2)-3 =10-3 = 7 centimeters

4 0

3 years ago

Solve for x<br> (X+4)/3=2<br> X=-2<br> X=2/3<br> X=-10/3

faust18 [17]

I’m not 100% sure but i think:
u can multiply 3 on both sides
3x+12=6
subtract 12 from both sides
3x=-6
therefore
x=-2
hope that helps

7 0

2 years ago