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umka21 [38]
2 years ago
14

Does y varies directly with x? Find the constant of variation and write the equation.​

Mathematics
1 answer:
amid [387]2 years ago
7 0
Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
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A polymer is manufactured in a batch chemical process. Viscosity measurements show that it is approximately normally distributed
PilotLPTM [1.2K]

Answer: (751.05, 766.95)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :-

\overline{x}\pm z*\dfrac{\sigma}{\sqrt{n}},

where \sigma =population standard deviation.

\overline{x}= sample mean

n= sample size

z* = Two-tailed critical z-value.

Given :  \sigma= 20

n= 42

\overline{x}=759

We know that from z-table , the two-tailed critical value for 99% confidence interval : z* =2.576

Now, the 99% confidence interval around the true population mean viscosity :-

759\pm (2.5760)\dfrac{20}{\sqrt{42}}\\\\=759\pm (2.5760)(3.086067)\\\\=759\pm7.9497=(759-7.9497,\ 759+7.9497)\]\\=(751.0503,\ 766.9497)\approx(751.05,\ 766.95)

∴ A 99% confidence interval around the true population mean viscosity : (751.05, 766.95)

3 0
3 years ago
What is the solution for the equation 3x + 0.3 = 3.3.
hoa [83]

Answer:

3x+0.3=3.3.

                               \            /    

                   We move all terms to the left:

                              3x+0.3-(3.3.)=0

        We add all the numbers together, and all the variables

                              3x+0.3-0=0

        We add all the numbers together, and all the variables

                              3x+0.3=0

     We move all terms containing x to the left, all other terms to the right

                               3x=-0.3

                                x=-0.3/3

                               x=-0.3/3

                               /             \

*eliza*

3 0
3 years ago
Jordan ran 7/8 mile on Monday and 5/6 mile on Tuesday.
vodomira [7]

Answer:

\frac{1}{24} miles \\

Step-by-step explanation:

\frac{7}{8}  -  \frac{5}{6}  =  \frac{1}{24}

8 0
2 years ago
Factor the following expression.<br> 6x^2- 5x-1
jenyasd209 [6]

Answer:

X=(6x+1)(x-1) because you are factoring out

8 0
3 years ago
My dog is 113cm tall how many meters tall is my dog? (Hint: 1m=100cm (hint: 1 m=100cm
Llana [10]

Answer:

Your dog will be 1.13 meters tall

7 0
3 years ago
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