When are two events considered to be independent? 14pts for simple answer

Answers

Answer 1
Answer: when neither correlates to the other and they don't effect each other.

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PLEASE HELP!!Solve this quadratic equation: 2x^2 + 8x = 0 This has TWO answers! Thank you so much!!!

Find the product. (x - 7)(y - 9)

Answers

Answer: xy-9x-7y+63

Step-by-step explanation:

The given expression: (x - 7)(y - 9)

We know that the distributive property is given by :-

a(b+c)=ab+ac  [Left side]

OR\n\n(b+c)a=ba+ca  [Right side]

So applying the distributive property(Left sides) in the above expression, we get

(x - 7)y - (x - 7)9)

Again applying the distributive property (Right side) in the above expression, we get

= xy - 7y- 9x +(7)(9)\n\nxy-9x-7y+63

(x - 7)(y - 9)

x*(y - 9) - 7*(y - 9)

x*y - x*9 - 7*y -7*(-9)

xy - 9x - 7y + 63

That's the product.

Ten people are entered in a race. If there are no ties, in how many ways can the first three places come out?A. 1440

B. 720

C. 30

D. 132

Answers

B) 720 different possibilities

Answer: (720) is the right answer

Step-by-step explanation:

A group of campers hiked for 5 3/4 hours today and 6 3/4 hours yesterday. How many hours did they hike in all?

Answers

First you can turn the fractions into improper fractions.
5 3/4 = 23/4    6 3/4= 27/4 
Add numerators, denominators stay the same.
23 + 27= 50
50/4
You can either leave it or simplify
Simplified:
50/4 = 12 1/2
:)


Final answer:

The campers hiked for a total of 12 1/2 hours. This was calculated by adding the whole numbers and the fractions separately and then combining the results.

Explanation:

This problem is an example of addition of fractions. To find the total number of hours that the campers hiked, we add the hours for both days. They hiked for 5 3/4 hours today and 6 3/4 hours yesterday. We add these together by firstly adding the whole numbers together, 5+6 equals 11. Then, add the fraction part, 3/4 + 3/4, which is 1 1/2. Combining the whole numbers with the fraction's sums to 12 1/2 hours. Thus, the campers hiked for 12 hours and 30 minutes in total.

Learn more about Addition here:

brainly.com/question/35006189

#SPJ2

The first steps in writing f(x) = 4x² + 48x + 10 in vertex form are shown.f(x) = 4(x² + 12x) + 10

= 36

What is the function written in vertex form?

Answers

Hello,

y=4x²+48x+10
==>y=4(x²+12x)+10
==>y=4(x²+2*6x+36)+10-4*36
==>y=4(x+6)²-134

For the polynomial f(x)=(x^3)+(4x^2)-5x+6 use synthetic division to find f(-4)

Answers

Answer:

The remainder is 26.

Please check the attached diagram below to see the remaining solution.

Step-by-step explanation:

To do this:

  • Take the constant term of the divisor with the opposite sign and write it to the left.
  • Write the coefficients of the dividend to the right.

Please check the attached diagram below to see the remaining solution.

The sum of the age of two sisters is 20 years. If the one of them is 4 years younger than other , find their age.​

Answers

Hello!

Answer:

\Large \boxed{\sf 12yo~ and ~8yo}

Step-by-step explanation:

→ We want to find the age of each sister.

→ Let the age of the elder sister be x years.

→ So we know that:

  • The age of the elder sister = x
  • The age of the the youngest sister = x - 4
  • The sum of the age of two sisters = 20

→ So we have this equation:

\sf x + x-4=20

→ Let's solve the equation to find the age of the sisters:

Simplify the left side:

\sf 2x-4=20

Add 4 to both sides:

\sf 2x-4+4=20+4

Simplify both sides:

\sf 2x=24

Divide both sides by 2:

\sf (2x)/(2) =(24)/(2)

Simplify both sides:

\boxed{\sf x = 12 }

→ So now, we know that:

  • The age of the elder sister = 12
  • The age of the the youngest sister = 12 - 4 = 8

Check:

"The sum of the age of two sisters is 20":

\sf 12 + 8 = 20

✔ So the check is good.

Conclusion:

The elder sister has 12 years old and the youngest sister has 8 years old.

Answer:
Older sister:12 years old

Youger sister:8 years old


Step-by-step explanation:

I will be using the model method (boxes)as it will show a clearer view of the question.