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IgorLugansk [536]
3 years ago
5

consider the equation x/5-2=11. if x represents the number of basketball players that have signed up for a new league, what is a

possible scenario that would be modeled by this equation?
Mathematics
2 answers:
weqwewe [10]3 years ago
8 0
X basketball players who tried out for the team were chosen. They were distributed into 5 groups each. In one of the groups, 2 of the teammates left. How many players did that group have?

I'm sure you can word this even better.. I'm just in a rush. 
oksian1 [2.3K]3 years ago
5 0

Answer:

Step-by-step explanation:Sample Response: The equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. There will be 11 players on each team.

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On my sister's 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous yea
Zarrin [17]
It means that her height in this year is 106\%x in regards to the last year, where x is her height in last year, so:

159=106\%x

159=\frac{106}{100}x

159=\frac{53}{50}x

159*50=53x

159*50=53x

7950=53x

150=x
8 0
3 years ago
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assig
Keith_Richards [23]

Answer:

1. Null hypothesis: \mu_{A}=\mu_{B}=\mu_{C}

Alternative hypothesis: Not all the means are equal \mu_{i}\neq \mu_{j}, i,j=A,B,C

2. D. 36

3. C. 34

4. B. 1.059

5. B. 8.02

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Part 1

The hypothesis for this case are:

Null hypothesis: \mu_{A}=\mu_{B}=\mu_{C}

Alternative hypothesis: Not all the means are equal \mu_{i}\neq \mu_{j}, i,j=A,B,C

Part 2

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have p groups and on each group from j=1,\dots,p we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

And we have this property

SST=SS_{between}+SS_{within}

We need to find the mean for each group first and the grand mean.

\bar X =\frac{\sum_{i=1}^n x_i}{n}

If we apply the before formula we can find the mean for each group

\bar X_A = 27, \bar X_B = 24, \bar X_C = 30. And the grand mean \bar X = 27

Now we can find the sum of squares between:

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

Each group have a sample size of 4 so then n_j =4

SS_{between}=SS_{model}=4(27-27)^2 +4(24-27)^2 +4(30-27)^2=72

The degrees of freedom for the variation Between is given by df_{between}=k-1=3-1=2, Where  k the number of groups k=3.

Now we can find the mean square between treatments (MSTR) we just need to use this formula:

MSTR=\frac{SS_{between}}{k-1}=\frac{72}{2}=36

D. 36

Part 3

For the mean square within treatments value first we need to find the sum of squares within and the degrees of freedom.

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

SS_{error}=(20-27)^2 +(30-27)^2 +(25-27)^2 +(33-27)^2 +(22-24)^2 +(26-24)^2 +(20-24)^2 +(28-24)^2 +(40-30)^2 +(30-30)^2 +(28-30)^2 +(22-30)^2 =306

And the degrees of freedom are given by:

df_{within}=N-k =3*4 -3 = 12-3=9. N represent the total number of individuals we have 3 groups each one with a size of 4 individuals. And k the number of groups k=3.

And now we can find the mean square within treatments:

MSE=\frac{SS_{within}}{N-k}=\frac{306}{9}=34

C. 34

Part 4

The test statistic F is given by this formula:

F=\frac{MSTR}{MSE}=\frac{36}{34}=1.059

B. 1.059

Part 5

The critical value is from a F distribution with degrees of freedom in the numerator of 2 and on the denominator of 9 such that we have 0.01 of the area in the distribution on the right.

And we can use excel to find this critical value with this function:

"=F.INV(1-0.01,2,9)"

And we will see that the critical value is F_{crit}=8.02

B. 8.02

5 0
3 years ago
Two angles in a triangle are 40 and 95. List the 3rd interior and two exterior angles.
babymother [125]

Answer:

40+95 = 135

180-135 = 45 = 3rd interior i am not sure what the two exterior angles are

Step-by-step explanation:

180 is what we subtract 135 from because in all triangles all three angles should add up to 180.

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3 years ago
The Hypotenuse-Leg Theorem states that if the hypotenuse and leg of one right triangle is congruent to the hypotenuse and corres
Dovator [93]
The <span>hypotenuse leg theorem states that any two </span>right triangles<span> that have a </span>congruent hypotenuse<span> and a </span>corresponding<span>, congruent leg are </span>congruent <span>triangles.</span>
4 0
3 years ago
If the park is shown as square on the map, each side is 1foot long, how long is each side of the square park? Scale factor 1in t
mario62 [17]
12x200=2400 so the answer is 2400
3 0
2 years ago
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