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3 years ago

Raiz quadrada de 100 mais raiz quadrada de 200

Mathematics

2 answers:

GuDViN [60]3 years ago

6 0

Please, write it in english so i can actually understand it,,, Gracias;)

White raven [17]3 years ago

6 0

I don't speak Spanish, plz right in English gracias!

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Karen correctly answered 85% of the questions on her math test. If she misses 6 problems how many questions were on the test?

Brums [2.3K]

100 - 85 = 15%

15% = 6
1% = 0.4
100% = 0.4 x 100 = 40

Answer: There were 40 questions.

8 0

2 years ago

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

A sample of values has a mean of 500.0 and a standard deviation of 50.0. use the range rule of thumb to find estimates for the m

leonid [27]

<span>The Range Rule of Thumb says that the range is about four times the standard deviation. (i.e. two standard deviations to the left and two standard deviations to the right of the mean).

Given that the mean is 500 and the standard deviation is 50, then

The minimum and the maximum "usual" values are given by

$500\pm2(50)=500\pm100 \\ \\ =(500-100,\ 500+100)=(400,\ 600)$

Therefore, the minimun "usual" value is 400 while the maximum "usual" value is 600.
</span>

7 0

2 years ago

What is the distance between the points (-6, 7) and (-1, 1) ? Round to the nearest whole number

pogonyaev

Answer:

7.8 rounded to the nearest whole number would be 8.

Step-by-step explanation:

-6 would be x1

7 would be y1

-1 would be x2

1 would be y2

Take these numbers and plug them into the distance formula:

$\sqrt{(x2-x1)^{2} + (y2-y1)^2}$

$\sqrt{(-1 - -6)^2 + (1-7)^2} \\\sqrt{(5)^2 + (6)^2\\\} \\\sqrt{25 + 36} \\\sqrt{61} = 7.81$

8 0

2 years ago

If the typos are randomly distributed over the 10 pages, find the probability of having a single typo on each page

ella [17]

1/10 assuming there is are 10 typos in total

4 0

2 years ago