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2 years ago

I need help thank you

Mathematics

1 answer:

ycow [4]2 years ago

4 0

9514 1404 393

Answer:

y = 3x +1
y = x + 3

Step-by-step explanation:

The bottom dot and the top dot are on a line with two other dots, the one at (0, 1) and the one at (1, 4). That line has a rise/run = 3/1. The point (0, 1) is its y-intercept, so its equation can be ...

y = 3x +1

The left dot and the lower right dot are on a line with three other dots. One of those (1, 4) is shared with the previous line. This line has a rise/run = 1/1. The point (0, 3) is its y-intercept, so its equation can be ...

y = x + 3

These two equations capture all of the coins.

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Solve 2x-8=-2-8. How do I do this

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3 years ago

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Find the equation of the line using the point-slope formula.

irina [24]

Answer:

9x-7y+28=0

Step-by-step explanation:

using formula

y-y1=m(x-x1)

y-4=9/7(x-0)

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2 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

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3 years ago

A population of 30,000 fish is expected to shrink at a rate of 7.5% per year. Which is the best prediction for the fish populati

alekssr [168]

I would have to say 30,000 (1-7.5/100)8= 16078.9

8 0

3 years ago

Beth can run 3 miles and 25.8 minutes how long does it take her to run 1 mile

agasfer [191]

To solve this problem you need to use the cross product method!

3 miles → 25.8 minutes
1 mile → × minutes

→ (25.8 • 1) ÷ 3 = × minutes

→ 25.8 ÷ 3 = × minutes

→ 8.6 = × minutes

So your answer is that it takes beth 8.6 minutes to run 1 mile!

There you go! I really hope this helped, if there’s anything just let me know! ☻

6 0

2 years ago