Answ
Step-by-step explanation:
Movemos la coma de los decimales de forma que 1000000000,0 se convierta en un nuevo número entre el 1 y el 10. Como nuestro número es mayor que 10, movemos la coma hacia la izquierda. Quita los ceros del final. Lleva la cuenta de cuántas veces movemos la coma decimal.
1000000000,0 -> 1
Nuestro nuevo número es 1. Hemos movido la coma decimal 9 veces.
Como nuestro número original era mayor que 10, el exponente de 10 es positivo. Recuerda que movimos la coma decimal 9 veces, de forma que el exponente es 9 positivo:
Answer:
Step-by-step explanation:
A) 3x²c² + 5xc² - 2c²
Factor c² from all terms in the expression.
c²(3x² + 5x - 2)
Factor 3x² + 5x - 2
c²(3x-1)(x+2)
B) x² + 6x + 9
x² + 3x + 3x + 9
Factor common terms.
x(x+3)+3(x+3)
Take x+3 common.
(x+3)(x+3)
C) x² - 9
x² -3²
Apply formula : a² - b² = (a+b)(a-b)
(x+3)(x-3)
Answer:
c.A 90% confidence level and a sample size of 300 subjects.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level
, we have the confidence interval with a margin of error of:
In which
z is the zscore that has a pvalue of .
In this problem
The proportions are the same for all the options, so we are going to write our margins of error as functions of
So
a.A 99% confidence level and a sample size of 50 subjects.
99% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
The margin of error is
b.A 90% confidence level and a sample size of 50 subjects.
90% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
The margin of error is
c.A 90% confidence level and a sample size of 300 subjects.
90% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
The margin of error is
This produces smallest margin of error.
d.A 99% confidence level and a sample size of 300 subjects.
99% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
The margin of error is