A ratio is a rate give a example

Roberto tiene 20 balones entre azules y rojos el tiene mas balones rojo que azules y los guarda en cuatro bolsas que contienen l

Anuta_ua [19.1K]

Se pueden concluir dos posibilidades para cada bolsa y toda la colección:

4 balones rojos y un balón azul, lo cual lleva a 16 balones rojos y 4 balones azules.
3 balones rojos y dos balones azules, lo cual lleva a 12 balones rojos y 8 balones azules.

<h3>¿Cuántos balones rojos tiene Roberto en las cuatro bolsas?</h3>

En este problema conocemos que Roberto tiene 20 balones entre azules y rojos y que existen más balones rojos que azules. Puesto que los balones son objetos que pueden contarse, los datos a buscar deben ser números enteros y positivos y que están distribuidos equitativamente en cuatro bolsas. Entonces las cantidades de balones por bolsa son:

x = 20 / 4

x = 5

Existen 5 balones por bolsa y bajo la consideración de que existen balones azules, que cada bolsa tienen la misma proporción de balones rojos a azules y que los balones rojos son más que los balones azules, se pueden concluir dos posibilidades para cada bolsa:

4 balones rojos y un balón azul, lo cual lleva a 16 balones rojos y 4 balones azules.
3 balones rojos y dos balones azules, lo cual lleva a 12 balones rojos y 8 balones azules.

Para aprender más sobre proporciones: brainly.com/question/27957192

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7 0

2 years ago

What is the coefficient variable of 5c-15

timurjin [86]

The coefficient of this expression is 5, a coefficient is just the number before a variable.

8 0

4 years ago

The ratio of angle measures is 1:2:2. Classify the triangle by its angle measures. obtuse triangle right triangle equiangular tr

lyudmila [28]

Answer:

Acute Triangle

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

So,

x+2x+2x = 180

=> 5x = 180

Dividing both sides by 5

=> x = 36

So, The lengths are:

=> 36

=> 72

Since all the angles are less than 90 degrees, It is an acute triangle.

5 0

4 years ago

Write as an equation/ inequality -11 is greater than or equal to x

djyliett [7]

Answer: -11 ≥ x

Step-by-step explanation:

-11 is greater than or equal to x.

-11 ≥ x

5 0

4 years ago

In 2002, the mean age of an inmate on death row was 40.7 years with a standard deviation of 9.6 years according to the U.S. Depa

marissa [1.9K]

Answer:

The 95% confidence interval for the current mean age of death-row inmates is between 42.23 years and 35.57 years.

Step-by-step explanation:

The confidence interval of the mean is given by the next formula:

$\\ \overline{x} \pm z_{1-\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$ [1]

We already know (according to the U.S. Department of Justice):

The (population) standard deviation for this case (mean age of an inmate on death row) has a standard deviation of 9.6 years ( $\\ \sigma = 9.6$ years).
The number of observations for the sample taken is $\\ n = 32$ .
The sample mean, $\\ \overline{x} = 38.9$ years.

For $\\ z_{1-\frac{\alpha}{2}}$ , we have that $\\ \alpha = 0.05$ . That is, the level of significance $\\ \alpha$ is 1 - 0.95 = 0.05. In this case, then, we have that the z-score corresponding to this case is:

$\\ z_{1-\frac{\alpha}{2}} = z_{1-\frac{0.05}{2}} = z_{1-0.025} = z_{0.975}$

Consulting a cumulative standard normal table, available on the Internet or in Statistics books, to find the z-score associated to the probability of, $\\ P(z$ , we have that $\\ z = 1.96$ .

Notice that we supposed that the sample is from a population that follows a normal distribution. However, we also have a value for n > 30, and we already know that for this result the sampling distribution for the sample means follows, approximately, a normal distribution with mean, $\\ \mu$ , and standard deviation, $\\ \sigma_{\overline{x}} = \frac{\sigma}{\sqrt{n}}$ .

Having all this information, we can proceed to answer the question.

Constructing the 95% confidence interval for the current mean age of death-row inmates

To construct the 95% confidence interval, we already know that this interval is given by [1]:

$\\ \overline{x} \pm z_{1-\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

That is, we have:

$\\ \overline{x} = 38.9$ years.

$\\ z_{1-\frac{\alpha}{2}} = 1.96$

$\\ \sigma = 9.6$ years.

$\\ n = 32$

Then

$\\ 38.9 \pm 1.96*\frac{9.6}{\sqrt{32}}$

$\\ 38.9 \pm 1.96*\frac{9.6}{5.656854}$

$\\ 38.9 \pm 1.96*1.697056$

$\\ 38.9 \pm 3.326229$

Therefore, the Upper and Lower limits of the interval are:

Upper limit:

$\\ 38.9 + 3.326229$

$\\ 42.226229 \approx 42.23$ years.

Lower limit:

$\\ 38.9 - 3.326229$

$\\ 35.573771 \approx 35.57$ years.

In sum, the 95% confidence interval for the current mean age of death-row inmates is between 42.23 years and 35.57 years.

Notice that the "mean age of an inmate on death row was 40.7 years in 2002", and this value is between the limits of the 95% confidence interval obtained. So, according to the random sample under study, it seems that this mean age has not changed.

7 0

4 years ago