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Anastasy [175]
2 years ago
8

A quiz has 1 true-false question and 2 multiple choice questions that each have 4 answers what is the probability that someone q

uessing all 3 answers will get 100% on the quiz
Mathematics
1 answer:
Anit [1.1K]2 years ago
8 0
1 true and false question = 1 / 2 chances
2 multiple choice question = 2/8
1/2 + 2/8 =
4/8 + 2/8 = 6/8.

6/8 = 3/4

you have a 75% chance of getting all 3 answers correct and getting a 100% on the quiz

hope this helps :D


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Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth
taurus [48]

Answer:

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\

It is a homogeneous solution:

y_h(t)=c_1e^{-2i t}+c_2e^{2i t}

Now, we finding a particular solution.

y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\

we get

y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

7 0
3 years ago
PLEASE EXPLAIN TOO SO I CAN SOLVE OTHER SIMILAR ONES.
jeka57 [31]

Answer: x = 30' , y = 45'

hope this helps

Step-by-step explanation:

U is 90' it's a right triangle

well simple VRT you already know 2 angles which is 60' and 90'

R = 60'

V = 90'

T = x

you know that a triangle = 180'

so you do

180 - 60 - 90 = x

30 = x

if you want to do y

then you already know that U is 90' on both sides.

since you also know S,

S = 45'

U = 90'

V = y

180 - 90 - 45 = y

45 = y

4 0
2 years ago
Given a right triangle find the measure of all the angles of one angle is a right angle in the measure of the second angle is si
vfiekz [6]

Answer:

12°, 78°, 90°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 7x - 6 + 90 = 180, that is

8x + 84 = 180 ( subtract 84 from both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Thus second angle = 12° and third = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 12°, 78° and 90°

5 0
3 years ago
Read 2 more answers
2.02b + 4.30 = 2.00b + 6.30
bonufazy [111]

Answer: b = 100

Step-by-step explanation:

simplifying

2.02b + 4.30 = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 6.30 + 2.00b

solving

4.30 + 2.02b = 6.30 + 2.00b

solving for variable 'b'.

move all terms containing b to the left, all other terms to the right.

add '-2.00b' to each side of the equation.

4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b

combine like terms: 2.02b + -2.00b = 0.02b

4.30 + 0.02b = 6.30 + 2.00b + -2.00b

combine like terms: 2.00b + -2.00b = 0.00

4.30 + 0.02b = 6.30 + 0.00

4.30 + 0.02b = 6.30

add '-4.30' to each side of the equation.

4.30 + -4.30 + 0.02b = 6.30 + -4.30

combine like terms: 4.30 + -4.30 = 0.00

0.00 + 0.02b = 6.30 + -4.30

0.02b = 6.30 + -4.30

combine like terms: 6.30 + -4.30 = 2

0.02b = 2

divide each side by '0.02'.

getting:  b = 100

6 0
3 years ago
Multiple Response. Select all the equations that have exactly one solution.
yKpoI14uk [10]

Answer:

A, B, D

Step-by-step explanation:

8 0
3 years ago
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