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2 years ago

Solve the system. Y = 1/2x - 3 Y= 4 + 1/2x

Mathematics

2 answers:

bonufazy [111]2 years ago

5 0

Answer:

x;−3y=4+

Rewrite equations:

x;−3y=

x+4

Step: Solvey=

xfor y:

Step: Substitute

xforyin−3y=

x+4:

−3y=

x+4

−3

x+4

−3

x+4(Simplify both sides of the equation)

−3

−1

x+4+

−1

x(Add (-1)/2x to both sides)

−2x=4

−2x

−2

(Divide both sides by -2)

x=−2

Step: Substitute−2forxiny=

(−2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Step-by-step explanation:

Sorry if it is too confusing

prisoha [69]2 years ago

4 0

Answer:

x = 13, y = 7/2 (You can check this yourself by plugging in the numbers yourself.)

Step-by-step explanation:

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A study of 10 different weight loss programs involved 500 subjects. Each of the 10 programs had 50 subjects in it. The subjects

Yakvenalex [24]

Answer:

a) (iii) ANOVA

b) The ANOVA test is more powerful than the t test when we want to compare group of means.

Step-by-step explanation:

Previous concepts

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"

If we assume that we have $p=10$ groups and on each group from $j=1,\dots,p=10$ 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

$SST=SS_{between}+SS_{within}$

Solution to the problem

Part a

(i) confidence interval

False since the confidence interval work just when we have just on parameter of interest, but for this case we have more than 1.

(ii) t-test

Can be a possibility but is not the best method since every time that we conduct a t-test we have a chance that we commit a Type I error.

(iii) ANOVA

This one is the best method when we want to compare more than 1 group of means.

(iv) Chi square

False for this case we don't want to analyze independence or goodness of fit, so this one is not the correct test.

Part b

The ANOVA test is more powerful than the t test when we want to compare group of means.

8 0

3 years ago

What is the solution of the inequality shown below? c + 9 greater than or equal to 1

kykrilka [37]

Answer:

c ≥-8

Step-by-step explanation:

I got this answer because all you have to do is subtract 9 on both sides and then that is the answer.

5 0

2 years ago

On a coordinate plane, what is the distance between the points (-1,5) and (2,5)? Enter the answer in the box.

zlopas [31]

Answer:

The distance between (-1,5) and (2,5) is √9 or 3.

Step-by-step explanation:

Okay first, just for explaining purposes, let's call the ordered pair (-1,5) letter A and ordered pair (2,5) letter B.

Now to the answer. To start you use the distance formula. which is:

d=√( (x2-x1)²+(y2-y1)²)

Then you solve by plugging the ordered pairs into the formula where -1 from point A is X1 and 5 from point A is Y1. 2 from point B is X2 and 5 from point B is Y2.

When you solve it should look like this:

1. d=√( (x2-x1)²+(y2-y1)²)

2. d=√( (2- -1)²+(5-5)²) *2 minus a negative one means plus so we get 3*

3. d=√( (3)²+(0)²)

4. d=√( 9+0)

5. √9 = 3

7 0

2 years ago

What is the value of the expression 22 + 42 ÷ 22?

Advocard [28]

22 + 42/22 = 23.9090909091

So, I think the answer might be 23

6 0

2 years ago

Read 2 more answers

Which statement is equivalent to the inequality 5z < 30

solmaris [256]

For this question you should divide both sides of the equaltion by 5 so you ill have:
5z/5 < 30/5
z < 6 :)))
i hope this is helpful
have a nice day

6 0

3 years ago