Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).
<h3>What are the mean and the standard error for each sample?</h3>
Considering the data given:
<h3>What is the mean and the standard error for the distribution of differences?</h3>
The mean is the subtraction of the means, hence:
The standard error is the square root of the sum of the variances of each sample, hence:
<h3>What is the confidence interval?</h3>
It is given by:
We have a 95% confidence interval, hence the critical value is of z = 1.96.
Then, the bounds of the interval are given as follows:
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
The transformation of 
to 
consists in a vertical translation. The new equation is 
.
Step-by-step explanation:
Let 
. We proceed to make the required transformations on , which consists in one vertical translation, 3 units in the -y direction. That is to say:
(1)
Then, the transformation of to consists in a vertical translation. The new equation is .
4 because the triangles equals half and a square equals a full
Answer:
Los pinos ocupan 
o <em>1 millón seiscientos veinte mil metros cuadrados</em>.
Step-by-step explanation:
Una manera de resolver este problema es la siguiente:
En palabras, 
, o <em>dos kilómetros cuadrados</em> son iguales a <em>2 millones de metros cuadrados</em>.
Sabemos que:
- Estos de bosque lo ocupan hayas y pinos, y, adicionalmente,
- Las hayas ocupan
.
De esta manera, <em>la parte que ocupan los pinos es el total del bosque menos el área ocupada por las hayas</em>. Por lo tanto, el área ocupada por los pinos es:
¿Cuántos metros cuadrados ocupan los pinos?
Los pinos ocupan, entonces, o <em>1 millón seiscientos veinte mil metros cuadrados</em>.
