Answer:
So the answer for this case would be n=30 rounded up to the nearest integer
Step-by-step explanation:
Information given
the margin of error desired
standard deviation from previous studies
The margin of error is given by this formula:
(a)
And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is
and the critical value would be
, replacing into formula (b) we got:
So the answer for this case would be n=30 rounded up to the nearest integer
Answer:
Step-by-step explanation:
Given: Quadrilateral PQRS is a rectangle.
To prove: PR = QS
Proof: 1. Quadrilateral PQRS is a rectangle(Given).
2. Rectangle PQRS is a parallelogram (Definition of a rectangle).
3. QP ≅ RS QR ≅ PS (Opposite angles of parallelogram are equal).
4. m∠QPS = m∠RSP = 90° (definition of a rectangle)
5. Δ PQS ≅ ΔSRP (SAS criterion for congruence)
6. PR ≅ QS (Corresponding sides of congruent triangles are congruent).
7. PR = QS (Congruent line segments have equal measures).
First we calculate the ambio rate from x = 0 to x = 15:
We have:
R = ((80-10) / (0-15))
R = -4.666666667
We now calculate for the entire interval:
from x = 0 to x = 20:
R = ((80-2) / (0-20))
R = -3.9
Answer:
What is the average rate of change over the entire slide?
R = -3.9
The average rate of change from x = 0 to x = 15 is about -4.667. How does the average rate change from x = 0 to x = 20 compare to this number?
The percentage difference is:
(-3.9 / -4.666666667) * (100) = 83.57142857%
100-83.57142857 = 16.42857143%
Answer:
Step-by-step explanation:
Before constructing bipartite graph, we need to have the responsibilities of each person sorted out first. I listed it in dash form for easy reading
Zamora
- planning,
- sales, marketing
- industry relations
Agraharam:
- planning
- development
Smith
- publicity,
- sales,
- industry relations
Chou
- planning,
- sales,
- industry relations
Macintyre
- planning,
- publicity,
- sales,
- industry relations
After we are done with that, we can start constructing the bipartite graph by making two column or two rows of group, one is for the person and the other is for responsibilities.
Later, we start match up each person to the responsibilities that assigned to them.
I attached the bipartite graph for this question as well.
Answer: 23 y 24 ( ó -23 y -24)
Step-by-step explanation:
Dos números consecutivos se escriben como:
n y (n + 1)
done n es un numero entero.
Entonces "El producto de dos números consecutivos es 552"
Se escribe como:
n*(n + 1) = 552
n^2 + n = 552
n^2 + n - 552 = 0
Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

Las dos soluciones son.
n = (-1 - 47)/2 = -48/2 = -24
n = (-1 + 47)/2 = 46/2 = 23
Si tomamos la primer solución, n = -24
Entonces los dos números consecutivos son:
n = -24
(n + 1) = -23
Si n = 23 entonces
n + 1 = 24
Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.