2.2.PS-16

Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.

Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and

incorrect answers. School B gives no incorrect answers and the same number of correct answers as

School A. School A started the final round with 62 points. School B started with 24. The game ends

with the two schools tied. Let x represent the number of correct answers given by School A in the final

round. Write an equation that models the outcome of the contest. Then find the number of answers

that each school got correct in the final round.

Which equation models the scoring in the final round and the outcome of the contest?

OA. 9x + 2x - 62 = - 9x + 24

OB. 2x-9x + 62 = 9x + 24

OC. 9x - 2x - 62 = 9x + 24

OD. 9x - 2x + 62 = 9x + 24

Answer:

c

Step-by-step explanation:

Answer:

Banzhaf power index for each voter

Voter A = 3/4 = 0.75

Voter B = 0/4 = impossible

Voter C = 1/4 = 0.25

Step-by-step explanation:

using the Banzhaf power index for each voter

{76: 52, 39, 31, 25, 9}

Voter A = 52

Voter B = 39

Voter C = 31

Voter D = 25

Voter E = 9

lets calculate the Banzhaf power index for Voters A to C

A B = 52 + 39 ≥ 76

B C = 39 + 31 ≤ 76

A C = 52 + 31 ≥ 76

A B C = 52 + 39 + 31 ≥ 76

Lets consider critical

A B  : A is critical  because without A the sum < 76

B C :  B is not critical because without B the sum is still < 76

A C : C is critical because without C the sum < 76

A B C : A is critical as B + C < 76

           B is not critical as A + C ≥ 76

           C is not critical as A + B ≥ 76

Number of times critical : For A = 3, For B = 0 , For C = 1

Banzhaf power index for each voter

Voter A = 3/4 = 0.75

Voter B = 0/4 = impossible

Voter C = 1/4 = 0.25

Answer:

33 and 27

Step-by-step explanation:

60 ÷ 2 is 30

33 is 6 more than 27

Answer:

D

Step-by-step explanation:

(0, -3), (6,1) these are the points

Using the slope formula:

1+3/6-0= 4/6=2/3

Thus, it is D

Answer:

126°

Step-by-step explanation:

First you need to find the 3rd inside angle.

72+54+x=180

126+x=180

x=54

Once you have the 3rd inner angle, you can take 180 and subtract it from it so you would have 180-54 which is 126

Answer:

401

Step-by-step explanation:

301 + 73 + 27

Using the correct order of operations, you would start by adding 301 to 73. Then you'd add 27 to that sum.

Using the associative property of addition, you change the grouping to add 73 and 27 first since that equals 100, and it's easy to add 100 to 301 mentally.

301 + 73 + 27 =

= 301 + (73 + 27)

= 301 + 100

= 410

Answer:

I think the answer is 2.07

Answer:

Hey man! Just saw this and that answer is not correct! I see how you were thinking tho. Here is how it should be graphed.

Step-by-step explanation:

I have marked the correct dots in green.

Answer:

0.603

Step-by-step explanation:

Given that mean = 3.2

Probability that special order sent out will be no more than 3

Using poisson :

P(x) = (e^λ * λ^x) / x!

λ= 3.2

P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)

P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622

P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390

P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024

P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159

Hence ;

0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195

= 0.603

Answer:

4 - 5y - 2y + 16

like terms

20 - 7y

Answer:

4-5y)-(2y-16)=0

Step-by-step explanation:We add all the numbers together, and all the variables

(-5y+4)-(2y-16)=0

We get rid of parentheses

-5y-2y+4+16=0

We add all the numbers together, and all the variables

-7y+20=0

We move all terms containing y to the left, all other terms to the right

-7y=-20

y=-20/-7

y=2+6/7

Answer:

It’s 40 I’m pretty sure because of the square. That’s how I was taught.

Answer:

some tips

Step-by-step explanation:

- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.

Answer:

The nth term is n + odd numbers

Thank you and please rate me as brainliest as it will help me to level up

Answer:

he will need 4 cans to make it 100 %compleate

Answer:

58926938427

Step-by-step explanation:

Answer:

Folow the PEMDAS rules wich show the order in which to do things:

Parenthesis first, then Exponent, then Multiplication/Division and finally Additiion and Subtraction. Therefore we solve whats in parenthesis first then work from there

567x237 is 134,379 and 467x939 is 438,513

now that we solved whats in parenthesis multiply the remaining values:

134,379x438,513=58,926,938,427

58,926,938,427 is correct

Step-by-step explanation:

Answer:

12.9x - 9

your welcome

Answer:

y=7/6x

Step-by-step explanation:

When given an equation and asked to find the equation of a perpendicular line that intersects it, you know that the slope is the slope of the equation is the negative recipricoal of the given equation. i.e. y=2x+2 and y=-1/2x+2. The y-intercept does not matter.

I hope you understood and that this helps!

Answer:

x=8

Step-by-step explanation:

x= -5/2=-2 1/2= -2.5. If you add all of those up you will get x=8

Answer:inversely proportional

Step-by-step explanation:

As the value of x increase the value of y decrease

Answer:

C

Step-by-step explanation:

Answer:

Pretty sure it's

D. None of the above

Answer:

the factors of prime numbers are only 1 and itself

Answer:

A factor number can only be divided by itself or 1 meaning it cant be a factor anything more than that.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

sqrt of 80 , or 8.944272 rounded to the nearest tenth would be 8.9

Step-by-step explanation:

use formula:

d= sqrt(x2−x1)^2+(y2−y1)^2

Let's solve this question as simply as we can

Step 1:

Add your odd numbers which is one with one

There are many ways in which we can classify numbers, Such as using the terms odd numbers and even numbers and a example of an odd number is one as it can not be divided by 2.

ex. 1 divided by 2 = 0.5

Step 2:

Now after adding our odd number you should turn up with an even number which we know as two.

Even numbers can be divided by 2

ex. 2 divided by 2 = 1

Answer is = 2

Answer: 18th customer

Step-by-step explanation: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72

The customer who will be the first to receive a free rose and a free lily is 18th customer

Given:

Every 6th customer = free rose

Every 9th customer = free Lily

Which customer will be the first to receive a free rose and a free lily?

find the lowest common multiple of 6th and 9th customer

6th customer = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

9th customer = 9, 18, 27, 36, 45, 54, 63

The lowest common multiple of 6th and 9th customer is 18

Therefore, the customer who will be the first to receive a free rose and a free lily is 18th customer

Read more:

https://brainly.com/question/16054958

Answer:45 mins.

Step-by-step explanation: half of 30 is 15 (one box = 15) and 15 times 3 is 45

Answer:

the answer is B because the 30x how much they charge each hiur and the other one has a trend of 25 each hour so P charges 5 more .

Answer:

C

Step-by-step explanation:

Answer:

The answer is

[tex] \huge y = - x - 6[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 7 = - 1(x - 1) \\ y + 7 = - x + 1 \\ y = - x + 1 - 7[/tex]

We have the final answer as

[tex]y = - x - 6[/tex]

Hope this helps you