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3 years ago

Solve 6x-3y=-6 for y

Mathematics

1 answer:

sashaice [31]3 years ago

8 0

Answer:

y = 2x + 2

Step-by-step explanation:

6x -3y = -6 (get y on one side of the equals sign by substracting 6x from both sides)

-3y = -6x - 6 (divide each side by -3 to get final value of y)

y = 2x + 2

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A random sample of 25 boxes of cereal have a mean of 372.5grams and a standard deviation of 15 grams. Does an average box of cer

ss7ja [257]

Using the t-distribution, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

At the null hypothesis, it is tested if the average box of cereal does not contain more than 368 grams, that is:

$H_0: \mu \leq 368$

At the alternative hypothesis, it is tested if it contains, that is:

$H_1: \mu > 368$

We have the standard deviation for the sample, hence, the t-distribution is used to solve this question.

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

In this problem, the values of the parameters are: $\overline{x} = 372.5, \mu = 368, s = 15, n = 25$ .

Hence, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{372.5 - 368}{\frac{15}{\sqrt{25}}}$

$t = 1.5$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, with 25 -1 = 24 df, is of $t^{\ast} = 1.71$ .

Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

You can learn more about the use of the t-distribution to test an hypothesis at brainly.com/question/13873630

6 0

3 years ago

How many solutions are there to each of these equations?

Sloan [31]

Answer:

first one, put value of x= -3 and y = 0

second one, pit vale of x=7 and y= -7

Step-by-step explanation:

first one,

-14(-3) -20(0) =42

or, 42-0 = 42

or, 42 = 42

proved

second one,

-14(7) -20(-7) = 42

or, -98 + 140=42

or, 42 = 42

proved

6 0

3 years ago

Can two fractions with the same numerator and different denominators can be equal.

mel-nik [20]

Nope!

They cannot be equal if they have the same numerator but different denominators. they need to be able to reduce into the same number

8 0

3 years ago

A kitchen counter will be designed according to the measurements of the diagram in the image. What is the area of the surface of

Semmy [17]

Answer:

B:31.5

Step-by-step explanation:

Find areas of both rectangles by multiplying the 2 given values (12 & 15)

Take the sides parallel to the triangles non-hypotenuse sides (3 & 3)

Take both values and add them over 2

Receive the answer 4.5

Add that to the rectangle values for an answer of 31.5

Hope this helps

Have a good day

7 0

3 years ago

Read 2 more answers

the dance club is selling tickets to the next showcase adult tickets cost $5 and children's tickets cost $2 they sell twice as m

Marta_Voda [28]

Hey there! I'm happy to help!

Let's have the adult tickets be a and the children tickets be c.

a=2c (twice as many adult tickets as child tickets)

5a+2c=700 (dollar value of each ticket)

Have a wonderful day! I hope that the helps! :D

5 0

3 years ago