Michael, Jonathan and two of their friends each ride their bikes to school. If they have an equally-likely chance of arriving first, what is the probability that Jonathan will arrive first and Michael will arrive second?

Answers

Answer 1

Answer:

The probability that Jonathan will arrive first and Michael will arrive second in their bikes to school is P ( A ) = 1/12

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that Jonathan will arrive first and Michael will arrive second in their bikes to school is P ( A )

Now , the number of people = 4

So , the probability of each person to reach the school first = ( 1/4 )

And , the probability that the second person to reach second = ( 1/3 )

So , probability that Jonathan will arrive first and Michael will arrive second in their bikes to school is P ( A ) = ( 1/4 ) ( 1/3 )

P ( A ) = 1/12

Hence , the probability is P ( A ) = 1/12

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Answer 2

Answer:

Answer:

1/12

Step-by-step explanation:

Jonathan has 1/4 chance and so if Jonathan is already there, there are only 3 people left. 1/4*1/3 is 1/12.

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Two equations are given below: a − 3b = 9 a = b − 3 What is the solution to the set of equations in the form (a, b)? (−9, −6) (−4, −3) (−6, −3) (−9, −7)

Can anyone please help me with 1,2,&,3 ?

Answers

Okay, lets start with number 1.

$(x+3)^(3)$ is also equal to (x+3)(x+3)(x+3)

If you take the first two ones and multiple them out it ends up with $x^(2) + 3x +3x + 9$ or also know as $x^(2) + 6x + 9$

You see to multiply them you take the first number in the first group of parenthesis and use the distributive property on the second equation, then you do the same this but with the second number in the first equation.

So once you have $(x^(2) + 6x + 9)$ you multiply it with your remaining (x + 3) using the distributive property to get $x^3 + 9x^2 + 27x + 27$

I hope this helps you get the answers for the other two.

(x+3)^3 = x^3+9x^2+27x+27

(x+2)(x-2)(x^2+4) = x^4-16

(x-2)^2+1 = x^2-4x+5

There are four options on the desert menu at a restaurant. Phillip and Paula like all of the choices equally, so they each choose a dessert at random. What is the probability that Phillip will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. Round your answer to nearest thousandth.

Answers

Answer:

I think like 1/2 of 0

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

PLEASE HELP QUICK!! I WILL MARK BRAINLIEST!!(SAT Prep) Find the value of x in each of the following exercises:

THANKS FOR THE HELP!! ALSO, GO CHECK OUT MY ACC FOR OTHER QUESTIONS!!

Answers

Answer:

the answer is 76, 94 + 76 equals 180

Step-by-step explanation:

rstrdtdtddthtthdh yes.

Solving Linear Equat
Solve the linear equation:
3.4 + 2(9.7 – 4.8x) = 61.2

Answers

Answer:

Step-by-step explanation:

3.4 + 19.4 - 9.6x = 61.2

22.8 - 9.6x = 61.2

-9.6x = 61.2 - 22.8

-9.6x = 38.4

x = -4

Answer:

Step-by-step explanation:

Simplifying

3.4 + 2(9.7 + -4.8x) = 61.2

3.4 + (9.7 * 2 + -4.8x * 2) = 61.2

3.4 + (19.4 + -9.6x) = 61.2

Combine like terms: 3.4 + 19.4 = 22.8

22.8 + -9.6x = 61.2

Solving

22.8 + -9.6x = 61.2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22.8' to each side of the equation.

22.8 + -22.8 + -9.6x = 61.2 + -22.8

Combine like terms: 22.8 + -22.8 = 0.0

0.0 + -9.6x = 61.2 + -22.8

-9.6x = 61.2 + -22.8

Combine like terms: 61.2 + -22.8 = 38.4

-9.6x = 38.4

Divide each side by '-9.6'.

x = -4

Simplifying

x = -4

Twenty two quarts is equivalent to how many gallons?
4.5
5.5
C
6.5
7.5

Answers

Answer:

5.5 gallons

Step-by-step explanation:

There are 4 quarts in 1 gallon.

22 ÷ 4 = 5.5

I hope this helps :)

If your pencil is 20 cm long how many millimeters is it

Answers

For this, you have to know the unit conversions. For metric, this is somewhat easier to remember. cm = centimeters. centi means 100th. One way to remember this one is that a cent is 1/100th of a dollar. So also is a centimeter 1/100th of a meter. A millimeter is 1/1000th of a meter. so a centimeter is 10 millimeters.
$(20)/(1) (cm)/(1) * (10)/(1)(millimeters)/(cm) = 200 millimeters$

Therefore the solution is 200 millimeters.

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You are playing a game in which each player wins, loses, or daws(ties) at each turn. For each turn won, you are awarded 5 points. If you lose the turn, you lose 5 points, if it is a draw, you get 0 points. For the first dozen rounds, you had the following results: win, win draw, win, lose , lose , win, lose, draw,lose , lose,lose. What was your point total for the rounds ???