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3 years ago

The probability of drawing a purple from a bag is 3/8. What is the probability of the complement?

Mathematics

1 answer:

In-s [12.5K]3 years ago

7 0

Answer: 5/8

Step-by-step explanation:

3/8 + 5/8

Thanks for the free points

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Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

Chin Woo bought a home for $160,000. He put down 20 percent. The mortgage is at 8 1/2 % for 25 years. By using the table in the

blagie [28]

Down payment
160,000×0.20=32,000

128000=X[((1-(1+0.085)^(-25))/0.085]
Solve for x
X=12507.10

6 0

3 years ago

Read 2 more answers

g Let G be a not necessarily abelian group with normal subgroups H and K such that H contains K (i.e., K ✂ G, H ✂ G, K ≤ H) and

allsm [11]

Answer:

Lets a,b be elements of G. since G/K is abelian, then there exists k ∈ K such that ab * k = ba (because the class of ab, $[ab]_K$ is equal to $[ba]_K$ , thus ab and ba are equal or you can obtain one from the other by multiplying by an element of K.

Since K is a subgroup of H, then k ∈ H. This means that you can obtain ba from ab by multiplying by an element of H, k. Thus, $[ab]_H = [ba]_H$ . Since a and b were generic elements of H, then H/G is abelian.

4 0

3 years ago

Emily completed reading 24/3 books in 32/4 days. Find the number of books she would have completed in one day.

AlexFokin [52]

The number of books she would have completed in one day will be 2 books.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

Emily completed reading 24/3 books in 32/4 days

Emily completed 8 books in 4 days. The number of the books will be calculated by using the expression below:-

4 days = 8 books

1 day = 8 / 4 = 2 books

Therefore the number of books she would have completed in one day will be 2 books.

To know more about expression follow

brainly.com/question/723406

#SPJ1

3 0

2 years ago

I NEED HELP!!!!!!!!!!!!!

Igoryamba

Answer:

c+d

Step-by-step explanation:

c as the liters of water in the bucket, and d as the liters of water the jar more.

Together, you have to use addition to answer the question.

Note:

Pls, notify me if my answer is incorrect for the other users that will see this response. Thank you. Have a wonderful rest of your day!

<em>-kiniwih426</em>

4 0

3 years ago

Read 2 more answers