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jeka94
3 years ago
13

In one of the rounds, Abbie had the following roll. She earned points in this round.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

ANSWER As written in the question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

Rules are  

Same number on both dice= +3

Different numbers, with an even sum= +1

An odd sum= -2

After five rounds score of Chloe=+1

→1=3+1+(-2)+(-2)+1

⇒ Same number on both dice ( in first throw)+Different numbers ,with an even sum (in second throw)+An odd sum(third throw)+An odd sum(fourth throw)+Different numbers ,with an even sum (in fifth throw)

As you can alter the arrangement ,In each case you will get sum as(+1), as integers Satisfy both Commutativity and Associativity with respect to addition.

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A 4 meter ladder leans against a house forming a
Ket [755]

Answer:

2.meters

Step-by-step explanation:

Lenght of ladder = 4 m

θ = 30°

To obtain h;

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Hypotenus = 4 ; opposite = h

Sin 30 = h / 4

0.5 = h / 4

h = 0.5 * 4

h = 2 m

Hence, distance between th efoot of ladder and the base of the wall is 2 m

6 0
3 years ago
Compute the limit of the following as x approaches infinity.
Nonamiya [84]

Yes, that's the correct limit.

\sqrt{x^2+1}-x=\dfrac1{\sqrt{x^2+1}+x}=\dfrac1{\sqrt{x^2}\sqrt{1+\frac1{x^2}}+x}

\sqrt{x^2}=|x|, but since x\to\infty, we are considering x>0, for which |x|=x. Then

\displaystyle\lim_{x\to\infty}\sqrt{x^2+1}-x=\lim_{x\to\infty}\frac1{x\left(\sqrt{1+\frac1{x^2}}+1\right)}

and both \dfrac1x and \dfrac1{x^2} vanish as x\to\infty, making the overall limit 0.

3 0
3 years ago
A game developer for ShapeExplosion is really interested in how music affects peoples ability to complete the game. He wanted so
Stolb23 [73]

Answer:

The game developer tested by 24 participants and these 24 participants were divided evenly between the treatments and the required total number of possible replications combinations is 4.

Step-by-step explanation:

<em>The Concepts and reason </em>

The ANOVA can be used to analyze the data obtained from experimental or observational studies. A factor is a variable that the experimenter has taken for investigation.

A treatment is a level of a factor, and its experimental units are the objects of interest in the experiment. The variation between treatments groups captures the effect of the treatment and the variation within treatment groups represents random error not explained by the experimental treatments.

The replication means an independent repeat of each factor combination.

<em>Fundamentals </em>

The formula for replications is: Number of participants/number of cells

The total number of participants is: 24

The number of cells is: 6

The total number of participants in the game is 24 and the number of possible combination cells is 6

so,

Number of replications: Number of participants/number of cells

which is 24/6= 4

Therefore the number of replications is 4.

5 0
3 years ago
Which of the a-values satisfy the following inequality? 7 + a &lt; 11 Choose all answers that apply: А a = 3 B a = 4 a = 5​
Marianna [84]

Answer:

Only A. a=3

Step-by-step explanation:

Because since 7+a<11 then that means a have to be 3 or below... good luck!

3 0
3 years ago
Read 2 more answers
The graph below represents which system of inequalities?
ozzi

Answer:

A

Step-by-step explanation:

Both lines have a y-intercept of 3.

Both lines are solid and colored below, which means both inequalities have the symbol \le.

One line has a positive slope, and one line has a negative slope.

The only answer that conforms to the above is a)

Answer: A

7 0
3 years ago
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