Through (2, -1), perp. to y = -2x-3

Mathematics

1 answer:

kramer2 years ago

6 0

9514 1404 393

Answer:

y = 1/2x -2

Step-by-step explanation:

The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.

The y-intercept can be found from ...

b = y -mx . . . . . for line of slope m through point (x, y)

b = -1 -(1/2)(2) = -1 -1 = -2

Then the slope-intercept equation of the perpendicular line is ...

y = 1/2x -2

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Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=

DiKsa [7]

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

5 0

3 years ago

Se vende2 usb en 60 soles cada uno. En una se ganó el 20% y en la otra se perdió el 20% ¿Se ganó o se perdió en total y cuánto?

aniked [119]

Voy a responder en el mismo idioma en que está la pregunta.

1) Venta con ganancia

Precio de venta 60 soles.

Ganancia = 20% del costo => costo + 0,20 * costo = precio

=> costo (1 + 0,20) = precio = 60 soles

=> costo (1,20) = 60 soles => costo = 60 soles / 1,20 = 50 soles

2) Venta con pérdida del 20%

Pérdida = 20% del costo

=> costo - precio = 20% * costo => costo - 0,20*costo = precio

=> costo ( 1 - 0,20) = 60 soles => costo * 0,80 = 60 soles

=> costo = 60 soles / 0,80 = 75 soles

3) Costo total = 50 soles + 75 soles = 125 soles

4) Ganancia total = valor total de venta - costo total

Ganancia total = 2 * 60 soles + 125 soles = 120 soles - 125 soles = - 5 soles.

El signo negativo significa que al final se perdió 5 soles en la operación.

8 0

3 years ago

The graph of y = 3*:

Kipish [7]

this is the answer. this should help