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3 years ago

8x-7x=x-8 answer and show work

Mathematics

2 answers:

swat323 years ago

7 0

x=x-8

x-x= -8

x=-8

-x=0

No Solution

Alekssandra [29.7K]3 years ago

3 0

8x - 7x = x - 8
0x = -8
No solution

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Find the value of the linear correlation coefficient r. Round to 3 decimal places. (47, 8), (46, 10), (27, 10)

Mnenie [13.5K]

Answer:

- 0.5379

Step-by-step explanation:

Given the data below :

(47, 8), (46, 10), (27, 10)

Using the functionality of the correl() function in excel, which takes in the x and y values of a data. The value of correlation Coefficient (r) obtained is - 0.5379 which indicates that a fairly strong negative correlation exists between the x and y variables. As the the strength of correlation depends on how close the Coefficient is to 1 (strong) or 0 ( weak). Negative value indicates that an increase in the value of one variable leads to a decrease on the value of the other.

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3 years ago

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. Following are the amounts measured in a

dlinn [17]

Answer:

The mean volume is 12 ounces.

Step-by-step explanation:

In this case we need to test whether the mean volume the machine fills the beverage cans with is 12 ounces or not.

The hypothesis for this test can be defined as:

H₀: The mean volume is 12 ounces. i.e. μ = 12 ounces.

Hₐ: The mean volume is not 12 ounces. i.e. μ ≠ 12 ounces.

As the population standard deviation is not known, we will use a t-test for single mean.

The sample mean and sample standard deviation is:

$\bar x=\frac{1}{n}\sum X\\=\frac{1}{8}\times [11.98+12.08+11.87+11.95+11.89+12.01+11.97+12.10]\\=11.98$

$\text{s} = \sqrt{\dfrac{\sum_{i=1}^{n}(x_i - \overline{x})^{2}}{n - 1}}\\=\sqrt{\dfrac{\sum_{i=1}^{n}(11.98 - 11.98)^{2}}{8 - 1}}+\sqrt{\dfrac{\sum_{i=1}^{n}(12.08- 11.98)^{2}}{8 - 1}}+...+\sqrt{\dfrac{\sum_{i=1}^{n}(12.10- 11.98)^{2}}{8 - 1}}\\=0.0815$ Compute the test statistic as follows:

$t=\frac{\bar x-\mu}{\s/\sqrt{n}}=\frac{11.98-12}{0.0815/\sqrt{8}}=-0.69$

The test statistic value is -0.69.

Decision rule:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected.

Compute the p-value of the test as follows:

$p-value=2P(t_{7}$

*Use a t-table.

The significance level of the test is, α = 0.05.

p-value = 0.512 > α = 0.05

The null hypothesis was failed to be rejected.

Hence, it can be concluded that the mean volume is 12 ounces.

5 0

3 years ago

Determine the diameter of the circle with the equation x 2+ y 2= 9.

kotegsom [21]

Answer: d = 6

Step-by-step explanation:

x^2 + y^2 = r^2

So r = 3 and d will be 2 x r = 6

6 0

3 years ago

3x+4+8x-28=180 what x

Paraphin [41]

The equation simplified (combine like terms) would be 11x+(-24) =180.
Since adding a negative is the same as subtracting a positive, you could also write it as this: 11x-24=180. Next step is isolate the variable, so to do that you need to add 24 to both sides of the equation: 11x-24+24=180+24. This is the same as 11x=204. Now to get only one of the variable, you need to divide both sides by 11. x=18.54 repeating or x=18 6/11. Hope this helped!

8 0

3 years ago

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What is the value of the expression (2)^6? pls help

Ronch [10]

Answer:

Step-by-step explanation:

2^6, or 2⁶, is two to the power of six.

Basically you multiply the bottom number (in this case 2) by itself as many times as the the number in the top right (in this case six)

2^6=2*2*2*2*2*2=64

8 0

3 years ago

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