Answer:
Intervalo de confianza
= (0.294, 0.386)
Step-by-step explanation:
La fórmula para el intervalo de confianza para la proporción se da como
p ± z × √p (1 - p) / n
Donde p = x / n
De donde de la pregunta anterior
x = 136 personas
n = 400 personas
p = 136/400
p = 0.34
z = puntuación z del intervalo de confianza del 95% = 1.96
Por lo tanto,
Intervalo de confianza =
0.34 ± 1.96 × √0.34 (1 - 0.34) / 400
= 0.34 ± 1.96 × √0.34 × 0.66/400
= 0.34 ± 1.96 × √0.000561
= 0.34 ± 1.96 × 0.0236854386
= 0.34 ± 0.0464234596
Intervalo de confianza
= 0.34 - 0.0464234596
= 0.2935765404
= 0.34 + 0.0464234596
= 0.3864234596
Hence:Intervalo de confianza
= (0.294, 0.386)
Answer:
(- 1, 9 )
Step-by-step explanation:
One of the equations gives y = 9, the y- value
To find the value of x, substitute y = - 3x + 6 , that is
- 3x + 6 = 9 ( subtract 6 from both sides )
- 3x = 3 ( divide both sides by - 3 )
x = - 1
Solution is (- 1, 9 )
Answer:
$32
Step-by-step explanation:
To find the commission, multiply the rate by the sales:
commission = 5% × $640 = $32
He made $32 in commission.
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<em>Additional comment</em>
Many calculators and all spreadsheets can work with percentages directly. If yours can't, or if you can't do this arithmetic mentally, you can use the equivalent decimal or fraction for 5%.
5% = 5/100 = 0.05 = 1/20
Then 5% × $640 = $640/20 = $64/2 = $32.
Answer:
x = 1, y = 1
Step-by-step explanation:
Use system of equations to solve for x and y by using substitution
Answer:
b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Step-by-step explanation:
The solution is correct up to the step 2x = 6x
2x = 6x
Subtract 2x from both sides.
0 = 4x
Divide both sides by 4.
x = 0
You cannot divide both sides by x since x could be zero, and in fact, it is.
Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
