maric41
contestada

4/8 < x < 65% what value of x makes the inqulity true?

A) 2/5

B) 0.017

C) 1.062

D) √0.302

Please explain

Respuesta :

Answer:

D) √0.302

Step-by-step explanation:

1. The inequality 4/8 < x < 65% means that that the value of x is more than 0.5 but less than 0.65. Let's go through each answer choice.

A)

  • [tex]\frac{2}{5}[/tex]
  • [tex]0.4[/tex]
  • A) can't be the answer because 2/5 (or 0.4) is less than 0.5

B)

  • [tex]0.017[/tex]
  • B) can't be the answer because 0.017 is less than 0.5

C)

  • [tex]1.062[/tex]
  • C) can't be the answer because 1.062 is more than 0.65

D)

  • [tex]\sqrt{0.302}[/tex]
  • [tex]\sqrt{0.302}[/tex] ≈ [tex]0.55[/tex]
  • D) is the answer because the square root of 0.302 (or approximately 0.55) is more than 0.5 but less than 0.65.

Answer:

D

Step-by-step explanation:

4/8 = 0.5 = 50% that means x must be greater than 50% and less than 65%.

sqrt(0.302) = 0.54954 = 54.95%

so D is the answer.