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sashaice [31]
2 years ago
15

Can someone help with this math question please

Mathematics
1 answer:
Naddik [55]2 years ago
3 0
One point of the line is given to be (5, -1) and second point is the y-intercept of the line x - 3y = 6

We can write this equation as:

x-6=3y \\  \\ 
y= \frac{1}{3}x-2

So, the y-intercept of the line is -2. 

Now we have two points for the new line (5, -1) and (0, -2). Using these we can find the slope

Slope=m= \frac{-2+1}{0-5}= \frac{1}{5}

Using the slope and the point (0, -2) we can write the equation in slope intercept form as:

y= \frac{1}{5}x-2

Thus the answer to this question is option C. Slope for the new line is 1/5 and the y-intercept is -2
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Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure
Marina CMI [18]

Answer:

a) P(0.11

And we can find this probability with this difference and with the normal standard table or excel:

P(-1.11

b) P(0.11 < \bar X < 0.13)

And we can use the z score defined by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using the limits we got:

z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22

z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22

And we want to find this probability:

P(-2.22< Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:

X \sim N(0.12,0.009)  

Where \mu=0.12 and \sigma=0.009

We are interested on this probability

P(0.11

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(0.11

And we can find this probability with this difference and with the normal standard table or excel:

P(-1.11

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want this probability:

P(0.11 < \bar X < 0.13)

And we can use the z score defined by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using the limits we got:

z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22

z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22

And we want to find this probability:

P(-2.22< Z

4 0
3 years ago
Read 2 more answers
BEST ANSWER GETS A THANK A BRAINLIEST A % STAR REVIEW AND 10 POINTS Which of the following shows 679 rounded to the nearest 10 a
Zigmanuir [339]

Answer:

rounded to the nearest 10: 680

rounded to the nearest 100: 700

Step-by-step explanation:

9 rounds up to 10 so it would go to 80

and 6 rounds up to 10 also so it goes to 700

brainilest maybe?

7 0
2 years ago
Read 2 more answers
Will give brainliest!
hram777 [196]

Answer:

Step-by-step explanation:

multiply 0.83 by 0.06 = 0.0498

multiply 0.17 by 0.52 and add that to the first one

which gives you the prob of winning of 0.1382

6 0
3 years ago
Can you help me find my mistake
Hunter-Best [27]
Sorry i dont know im not that far in school that's like high school stuff sorry


8 0
3 years ago
Which of ghe following is equivalent to (x+4)(3x^2+2x)?
Alexxandr [17]

The given expression is

(x+4)(3x^2 +2x)

And in the second factor, x is common. So on taking x out, we will get

(x+4)(x)(3x+2) = x(x+4)(3x+2)

We can expand it by distributing , that is

(x+4)(3x^2 +2x) = x(3x^2 +2x) +4 (3x^2 +2x)

= 3x^3 +2x^2 + 12x^2 +8x

Combining like terms,

= 3x^3 +14x^2 +8x

And that's the expanded form ., and the given expression can also be written in that way .

7 0
3 years ago
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