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Alenkinab [10]
3 years ago
10

Which equation is equivalent to 2(3x-5)=5-2(1-x)

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

6(x-10)=5-2(1-x)

Step-by-step explanation:

I divided by 3 the parenthesis, and multiplied by 3 the first number, which makes an equivalent equation.

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A certain industrial process yields a large number of steel cylinder whose lengths are distributed normally with mean 3.25 inche
Taya2010 [7]

Answer:

Y = X_1 + X_2

If we find the expected value of Y we got:

E(Y) = E(X_1) + E(X_2) = 3.25 + 3.25 =6.5

And for the variance we assume that we have independent random variables for X1 and X2 so then we have:

Var(Y) = Var(X_1) + Var(X_2) = \sigma^2 + \sigma^2 = 2 \sigma^2 = 2*(0.05^2) = 0.005

And the deviation Sd(Y) = \sqrt{0.005}=0.0707

So then our random variable Y have the following distribution:

Y \sim N (\mu =6,5 , \sigma = 0.0707)

And we want to find this probability:

P(Y

And we can use the z score formula given by:

z=\frac{y -\mu_y}{\sigma_y}

And if we use the z score formula we got:

P(Y

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".  

Solution to the problem

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

X \sim N(3.25,0.05)  

Where \mu=3.25 and \sigma=0.05

We slect two observations X_1, X_2

And let denote the combined lenght as:

Y = X_1 + X_2

If we find the expected value of Y we got:

E(Y) = E(X_1) + E(X_2) = 3.25 + 3.25 =6.5

And for the variance we assume that we have independent random variables for X1 and X2 so then we have:

Var(Y) = Var(X_1) + Var(X_2) = \sigma^2 + \sigma^2 = 2 \sigma^2 = 2*(0.05^2) = 0.005

And the deviation Sd(Y) = \sqrt{0.005}=0.0707

So then our random variable Y have the following distribution:

Y \sim N (\mu =6,5 , \sigma = 0.0707)

And we want to find this probability:

P(Y

And we can use the z score formula given by:

z=\frac{y -\mu_y}{\sigma_y}

And if we use the z score formula we got:

P(Y

3 0
2 years ago
Use partial products to multiply 35 times 77
Katyanochek1 [597]

Answer:

2,695

Step-by-step explanation:

If correct mark brainliest please

8 0
3 years ago
What is the equation, in slope-intercept form, of the line that contains the points (4, 11) and (-4, -5)? A. y = 2x + 3 B. y = -
yawa3891 [41]

Answer:

A. y = 2x +3

Step-by-step explanation:

7 0
2 years ago
Solve the proportion x+1/x-1 = 14/20
polet [3.4K]
Cross multiply
20(x+1)=14(x-1)
20x+20=14x-14
Subtract 14x on each side giving you
6x+20=-14
Subtract 20 on each side giving you
6x=-34
x=-34/6. Simplifying that you get x=-17/3. I hope this helps!!!
4 0
3 years ago
Read 2 more answers
What is 45% of $360
Elis [28]
45 percent of 360 is 162.
3 0
2 years ago
Read 2 more answers
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