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andre [41]
2 years ago
13

6x - 2 ( x + 4 )= 12

Mathematics
1 answer:
ElenaW [278]2 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

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A researcher records the repair cost for 8 randomly selected washers. A sample mean of $60.46 and standard deviation of $18.36 a
Anuta_ua [19.1K]

Answer:

The critical value is T = 1.895.

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 6

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.895, which is the critical value.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.895\frac{18.36}{\sqrt{8}} = 12.301

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 60.46 - 12.301 = $48.159

The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

8 0
3 years ago
Somebody please help me out!
dmitriy555 [2]
Since the triangles are similar, all sides are proportional by the same scale factor.
The relationship between the bases 32 and 8 is 4 (32/8 = 4). This means that the smaller triangle need to be multiplied by a scale factor 4 to result in the bigger triangle.
This means that 4x + 12 is 4 times greater than 15.
The equation to solve for x can be written as:
4x + 12 = 4*15
Now just solve for x as u normally would
4x + 12 = 60
(Subtract twelve from both sides)
4x = 48
(Divide both sides by 4 to isolate x)
x = 12

I hope this somewhat helped :)
Was my explanation clear enough?
4 0
3 years ago
Simplify the algebraic expression: x(x + 3) + x(2x - 4) + 6
marusya05 [52]

Step-by-step explanation:

x(x + 3) + x(2x - 4) + 6

First, let's distribute the x variable to each term in the first parenthesis:

x^{2} + 3x + x(2x - 4) + 6

Next, let's distribute the x variable to each term in the second parenthesis:

x^{2} + 3x + 2x^{2} - 4x + 6

Next, let's group like terms together:

(x^{2} + 2x^{2}) + (3x - 4x) + (6)

Finally, let's add or subtract like terms to get the result:

3x^{2} - x + 6

6 0
3 years ago
Read 2 more answers
Is b+b+b+c+c+c is a equivalent expression?<br> A. True <br> B. False
Rama09 [41]

Answer:

A. True

Step-by-step explanation:

......................................................................................

5 0
3 years ago
Convert the following measurements:
satela [25.4K]

Step-by-step explanation:

a.3.4cm

b.23000l

c.0.016g

d.3000m

e.2000mg

4 0
2 years ago
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