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3 years ago

12

Write four decimals with the 4 digit in a different place in each --- ones tenths hundreds and thousandths.Then write a statemen

t that compares the value of the 4 digit in different decimals

1 answer:

vodka [1.7K]3 years ago

4 0

4 .04 .004 .0004
and no statment for me

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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

3 years ago

For a right triangle ABC, you are told that cos A = x and sin A = y. Which option below gives an expression that is equivalent t

loris [4]

Answer:

B

Step-by-step explanation:

We know that

cos A = adjacent / hypotenuse

sin A = opposite / hypotenuse

Therefore, sin A / cos A =

(opposite / hypotenuse) / (adjacent / hypotenuse)

= (opposite/hypotenuse) * (hypotenuse / adjacent)

= opposite / adjacent

= tan A

Therefore, tan A = sin A / cos A = y/x

8 0

3 years ago

. Write the following expression in factored form using the greatest common factor.<br> 50a3 + 10a2

Tanya [424]

The factors of 50a³ are 1, 2, 5, 10, 25, 50,
   and their products with a, a² and a³ .

The factors of 10a² are 1, 2, 5, 10,
    and their products with 'a' and a² .

Their common factors are 1, 2, 5, 10,
   and their products with 'a' and a².

Their greatest common factor is 10a² .

(Another way to spot it, easily, is to remember this helpful factoid:

   If the smaller number is a factor of the larger number,
   then the smaller number is their greatest common factor.

Using the greatest common factor, then . . .

   50a³ + 10a² =   10a²(5a + 1) .

3 0

3 years ago

Is my answer correct? Look in photo. If it is wrong please tell me how to fix it.

Irina18 [472]

Answer:

Table A is proportional-Your answer is correct.

Step-by-step explanation:

8 0

3 years ago

15% of Mr.Rileys classes watch the local news. 136 of his students do not watch the local news. How many students are in Mr.Rile

Helga [31]

(100-15)% = 85% = 136 students

136 / (85%) = 130*(100/85) = 160 students

8 0

3 years ago