Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each
person takes a turn rolling two dice and earns or loses points based on what they role. Points are
awarded according to the following table:
Roll
Points
Same number on both dice
+3
Different numbers, with an even sum
+1
An odd sum
-2
At the end of ten rounds, the person with the highest number of points wins.
In the first five rounds, Abbie got four odd sums and one pair of threes. How many points does she need
to have an exact score of zero? What is the least number of rounds it will take her to have an exact score
of zero? Explain your reasoning using complete sentences.

Answer:

f(g(x)) = -3x - 1

Step-by-step explanation:

f(g(x)) = 3(g(x)) + 5

f(g(x)) = 3(-x-2) + 5

f(g(x)) = -3x - 6 + 5

f(g(x)) = -3x - 1

Answer:

f((g(x)) = -3x - 1

Step-by-step explanation:

3(-x-2)+5 =

-3x-6+5 =

-3x-1

Answer:

I think it would be 3500 if not i am sorry hope this helps

Step-by-step explanation:

Answer:

Your answer is 3224

Step-by-step explanation:

Median is found by adding all the numbers together, and then dividing them by the total amount of numbers.

1850+3500+4200+2310+4260 = 16120

16120/5 = 3224

Answer:

A. x= -5

B. x= 8

Step-by-step explanation:

A. 25 - 3x = 40

-3x = 40 - 25

-3x = 15

x= 15/-3

x= -5

B. 2 (x-10) =  -4

x-10 = -4/2

x-10 = -2

x = 8

A. 25 - 3x = 40

         -3x = 40 - 25

               = 15

            -x = 15/3

             x = -5

   Checking

    25 - 3*-5 = 40

    25 + 15 = 40

            40 = 40

       LHS = RHS

B. 2(x-10) = -4

    2x - 20 = -4

            2x = -4 +20

             x = 16/2 = 8

Hope u understand

Please mark as the brainliest

Thank You

Answer:

state

your answer

Answer:

11/4

Step-by-step explanation:

tan(90-x)=cot(x) by cofunction identity

tan(90-x) is therefore the reciprocal value of tan(x) since tan(x) is the reciprocal of cot(x) or vice versa.

tan(90-x)=11/4 since tan(x)=4/11

Answer:

11/4

Step-by-step explanation:

[tex]\tan(90-\theta) = \frac{\sin(90-\theta)}{\cos(90-\theta)} = \frac{\cos\theta}{\sin\theta}=\cot\theta = \frac{1}{\tan\theta} = \frac{11}{4}[/tex].

Answer:

241

Step-by-step explanation:

Given the equation to evaluate :

2^8 −10−15÷3

2^8 = 256

256 - 10 - 15 ÷ 3

From BODMAS principle, we evaluate the divison before subtraction :

-15 ÷ 3 = - 5

256 - 10 -5

256 - 15

= 241

Answer:

D: y=58

Step-by-step explanation:

pls mark brainliest

Answer:23

Step-by-step explanation:

Answer:

-36

Step-by-step explanation:

-3 ×12=--36

Answer:

300,000 x (1.05)^2

Step-by-step explanation:

Answer:

angle m1 = 14 degrees

Step-by-step explanation:

angle ABD = 70 deg

angle m1 + angle m2 = 70 deg

angle m2 = 4 * angle m1

angle m1 + (4 * angle m1) = 70 deg

5 * angle m1 = 70 deg

angle m1 = 14 deg

Answer:

the answer to this is "21"

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 10[tex]\sqrt{3}[/tex] → B

9514 1404 393

Answer:

  -12dx +15ex +9fx

Step-by-step explanation:

  - 3x * (4d - 5e - 3f) = (-3x)(4d) +(-3x)(-5e) +(-3x)(-3f)

  = -12dx +15ex +9fx

Answer:

[tex] \frac{1}{3} \times r - 4 \\ 3 \times r - 4 \\ \frac{1}{3} \times r + 4 \\ 3(r + 4)[/tex]

Answer:

its the first one

Step-by-step explanation:

im in 8th grade and im like a 11th grader bc im smart :)

Answer:

39/52 (or 3/4)

16/52 (or 4/13)

1/52

5/36

16/36 (or 4/9)

Step-by-step explanation:

1.)

A.) Let R= red S=Spade         RUS= R+S-A∩S odds of getting a red card is 26/52 the odds of getting a spade is 13/52 and the odds of getting a red card and a spade is 0 (which means these events are mutually exclusive)

13/52+26/52= 39/52

B.) F=face A=Ace we want FUA= F+A-F∩A

because these two events are mutually exclusive F∩A = 0

odds of getting a face: 12/52 odds of getting an ace: 4/52

12/52+4/52= 16/52

C.) D= diamond n=nine we're looking for D∩N intuitively we know that only one card in the deck is a nine as well as a diamond so the answer must be 1/52. We can confrim this through the fact that you can find the intersection of two independent events by multiplying them. So diamond: 13/52 and n= 4/52 13/52*4/52= 1/52

2.) let F= four E= eleven

A.) we're looking for FUE or F+E-F∩E (these events are mutually exclusive which means that F∩E = 0)

I think the easiest way to solve questions like these is to list out the possible outcomes

the outcomes that add to 4 are

1,3

2,2

3,1

and therefore the probability of having a sum of 4 is 3/36

the outcomes that add to eleven are

6,5

5,6

therefore the probability of having a sum of 11 is 2/36

3/36+2/36 = 5/36

B.) same deal as the one before

list out the outcomes

less than 5

1,1

1,2

1,3

2,1

2,2

3,1

so the odds of rolling two dice and having a sum less than 5 is 6/36

Now list the outcomes where the sum is greater than 8

3,6

4,5

4,6

5,5

5,6

5,4

6,3

6,4

6,5

6,6

the odds of rolling a sum greater than 8 is 10/36

take the sum and get 16/36

[tex] \huge \mathcal{ Answer࿐}[/tex]

Question 1.) Find Probability :

A. A red card or a spade .

Total red cards = total hearts + total diamonds

Total spades = 13 cards

now, probability of getting either A red card or a spade is :

[tex] \mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]

B. A face card or an ace

favorable outcomes = 12 + 4 = 16

The probability of getting a face card or an ace :

[tex]\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]

C. A diamond and a 9

We know there's only one diamond which is 9

So, favourable outcome = 1

Now, probability of getting a diamond and a 9 :

[tex]\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]

_____________________________

2.) Two pair of dice is rolled. Determine the probability :

The outcomes are :

[tex](1 , 1) (1 , 2) (1 , 3) (1 , 4) (1 , 5) (1 ,6)[/tex]

[tex](2 , 1) (2 , 2) (2 , 3) (2 , 4) (2 , 5) (2 , 6)[/tex]

[tex](3 , 1) (3 , 2) (3 , 3) (3 , 4) (3 , 5) (3 , 6) [/tex]

[tex](4 , 1) (4 , 2) (4 , 3) (4 , 4) (4 , 5) (4 , 6) [/tex]

[tex](5 , 1) (5 , 2) (5 , 3) (5 , 4) (5 , 5) (5 , 6) [/tex]

[tex](6 , 1) (6 , 2) (6 , 3) (6 , 4) (6 , 5) (6 , 6)[/tex]

Total number of outcomes = 6² = 36 outcomes

Find :

A. P (sum is 4 or 11 )

Total number of outcomes having sum of 4 is :

Total number of outcomes having sum of 11 is :

So, favorable outcome = 2 + 3 = 5

Probablity ( sum is 4 or 11 ) :

[tex]\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]

B. P(sum is less than 5 or sum is greater than 8)

Total number of outcomes having sum less than 5 is :

Total number of outcomes having sum greater than 8 is :

So, favorable outcomes = 10 + 6 = 16

Probablity of (sum is less than 5 or sum is greater than 8) is :

[tex]\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

[tex]Sin ~0 =\frac{2\sqrt{5} }{5}[/tex]

Step-by-step explanation:

[tex]sec0=\sqrt{5}[/tex]

[tex]cos~0=\frac{1}{sec0} =\frac{1}{\sqrt{5} }[/tex]

[tex]sin ~0=\sqrt{1-cos^2~0}[/tex]

[tex]=\sqrt{1-1/5}=\sqrt{5-1/5}[/tex]

[tex]Sin~0=\sqrt{4/5} =2/\sqrt{5}*\sqrt{5}/\sqrt{5}[/tex]

[tex]Sin~0=2\sqrt{5}/2=2\sqrt{5}/5[/tex]

--------------------------------

hope it helps...

have a great day!!!

Answer:

36/360      0.1     10/100     10%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Was the latter half of this function, -64 / 2x + 14, meant to be:

-64 / 2x              +              14, or

-64 / (2x + 14)?

In the first case the vertical asymptote is x = 0.

In the second, the vertical asymptote is the root of 2x + 14, or x = -7

Use parentheses in problems such as this one, to eliminate ambiguity.

Answer:

22 employees

Step-by-step explanation:

10 + 12

Answer:

the answer is point f. mostly the answer of such type of questions are the points which do not lie ON the circle

Answer:

4

Step-by-step explanation:

Please mark brainliest

Answer:

Step 2

Step-by-step explanation:

Step 1: Find the total points needed to score in six games: 96 times 6 = 576.

Step 2: Find the total points scored: 92 + 110 + 85 + 78 = 365.

WRONG

Step 1: Find the total points needed to score in six games: 96 times 6 = 576.

Step 2: Find the total points scored: 92 + 110 + 85 + 78 + 96 = 461

Step 3: Subtract the total points scored from the total points needed: 576 minus 461 = 115

Step 4: State the answer: Brenda needs to score 115 in her next game.

Therefore,

Brenda make her first mistake in step 2

Answer:

the answer is Step 2

Step-by-step explanation:

the answer is Step 2

Answer:

simplify to get the answer i think it would be 0.2

Step-by-step explanation:

Answer:

[tex]\frac{135 - 5x}{2}= 45\\\\135 - 5x = 90 \\\\5x = 90-135\\\\5x = 45\\ x= 9[/tex]

Option B

Answer:

D)  x = -3

Step-by-step explanation:

Answer:

a ) JKM=

b) NJM

c). JNM

Answer:

Yes

Step-by-step explanation:

We can substitute the point (2, 2) into the equation. So, in place of x would be 2 and in place of y would be 2 as well:

y = 6 - 2x

2 = 6 - 2(2)

2 = 6 - 4

2 = 2

Since the above is a true statement, the point (2, 2) must belong to the line y = 6 - 2x

Yes, the line y=6-2x passes through the point (2, 2).

Given that, the line y=6-2x passes through the point (2, 2).

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

Here, substitute (x, y)=(2, 2) is the given line y=6-2x, we get

2 = 6-2(2)

2 = 2

Since, LHS = RHS

Yes, the line y=6-2x passes through the point (2, 2).

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

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